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EXPERIMENTAL
Internet Engineering Task Force (IETF)                           Y. Oiwa
Request for Comments: 8120                                   H. Watanabe
Category: Experimental                                         H. Takagi
ISSN: 2070-1721                                               ITRI, AIST
                                                                K. Maeda
                                                  Individual Contributor
                                                              T. Hayashi
                                                                 Lepidum
                                                                 Y. Ioku
                                                  Individual Contributor
                                                              April 2017


                Mutual Authentication Protocol for HTTP

Abstract

   This document specifies an authentication scheme for the Hypertext
   Transfer Protocol (HTTP) that is referred to as either the Mutual
   authentication scheme or the Mutual authentication protocol.  This
   scheme provides true mutual authentication between an HTTP client and
   an HTTP server using password-based authentication.  Unlike the Basic
   and Digest authentication schemes, the Mutual authentication scheme
   specified in this document assures the user that the server truly
   knows the user's encrypted password.

Status of This Memo

   This document is not an Internet Standards Track specification; it is
   published for examination, experimental implementation, and
   evaluation.

   This document defines an Experimental Protocol for the Internet
   community.  This document is a product of the Internet Engineering
   Task Force (IETF).  It represents the consensus of the IETF
   community.  It has received public review and has been approved for
   publication by the Internet Engineering Steering Group (IESG).  Not
   all documents approved by the IESG are a candidate for any level of
   Internet Standard; see Section 2 of RFC 7841.

   Information about the current status of this document, any errata,
   and how to provide feedback on it may be obtained at
   http://www.rfc-editor.org/info/rfc8120.








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Copyright Notice

   Copyright (c) 2017 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents
   (http://trustee.ietf.org/license-info) in effect on the date of
   publication of this document.  Please review these documents
   carefully, as they describe your rights and restrictions with respect
   to this document.  Code Components extracted from this document must
   include Simplified BSD License text as described in Section 4.e of
   the Trust Legal Provisions and are provided without warranty as
   described in the Simplified BSD License.

Table of Contents

   1. Introduction ....................................................3
      1.1. Terminology ................................................5
      1.2. Document Structure and Related Documents ...................6
   2. Protocol Overview ...............................................6
      2.1. Messages ...................................................7
      2.2. Typical Flows of the Protocol ..............................8
      2.3. Alternative Flows .........................................10
   3. Message Syntax .................................................12
      3.1. Non-ASCII Extended Header Parameters ......................12
      3.2. Values ....................................................13
           3.2.1. Tokens .............................................13
           3.2.2. Strings ............................................14
           3.2.3. Numbers ............................................14
   4. Messages .......................................................15
      4.1. 401-INIT and 401-STALE ....................................16
      4.2. req-KEX-C1 ................................................19
      4.3. 401-KEX-S1 ................................................19
      4.4. req-VFY-C .................................................20
      4.5. 200-VFY-S .................................................21
   5. Authentication Realms ..........................................21
      5.1. Resolving Ambiguities .....................................23
   6. Session Management .............................................24
   7. Host Validation Methods ........................................26
      7.1. Applicability Notes .......................................27
      7.2. Notes on "tls-unique" .....................................28
   8. Authentication Extensions ......................................28
   9. String Preparation .............................................29
   10. Decision Procedure for Clients ................................29
      10.1. General Principles and Requirements ......................29
      10.2. State Machine for the Client (Informative) ...............31




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   11. Decision Procedure for Servers ................................36
   12. Authentication Algorithms .....................................39
      12.1. Support Functions and Notations ..........................39
      12.2. Default Functions for Algorithms .........................41
   13. Application Channel Binding ...................................42
   14. Application for Proxy Authentication ..........................42
   15. Methods to Extend This Protocol ...............................43
   16. IANA Considerations ...........................................44
      16.1. Addition to HTTP Authentication Schemes Registry .........44
      16.2. Registry for Authentication Algorithms ...................44
      16.3. Registry for Validation Methods ..........................45
   17. Security Considerations .......................................46
      17.1. Security Properties ......................................46
      17.2. Secrecy of Credentials ...................................46
      17.3. Denial-of-Service Attacks on Servers .....................47
           17.3.1. Online Active Password Attacks ....................47
      17.4. Communicating the Status of Mutual Authentication
            with Users ...............................................48
      17.5. Implementation Considerations ............................48
      17.6. Usage Considerations .....................................49
   18. References ....................................................49
      18.1. Normative References .....................................49
      18.2. Informative References ...................................51
   Authors' Addresses ................................................53

1.  Introduction

   This document specifies an authentication scheme for the Hypertext
   Transfer Protocol (HTTP) that is referred to as either the Mutual
   authentication scheme or the Mutual authentication protocol.  This
   scheme provides true mutual authentication between an HTTP client and
   an HTTP server using just a simple password as a credential.

   Password-stealing attacks are one of the most critical threats for
   Web systems.  Plain-text password authentication techniques (Basic
   authentication and Web-form-based authentication) have been widely
   used for a long time.  When these techniques are used with plain HTTP
   protocols, it is trivially easy for attackers to sniff the password
   credentials on the wire.

   The Digest authentication scheme [RFC7616] uses SHA-256 and
   SHA-512/256 (formerly SHA-1 and MD5) hash algorithms to hide the raw
   user password from network sniffers.  However, if the number of
   possible candidate users' passwords is not enough, newer and more
   powerful computers can compute possible hash values for billions of
   password candidates and compare these with the sniffed values to find
   out the correct password.  This kind of attack is called an offline
   password dictionary attack; the search capacity of these newer



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   computers reduces the effectiveness of users' memorable passwords,
   thereby threatening the effectiveness of such hash-based password
   protections.

   Transport Layer Security (TLS) [RFC5246] provides strong
   cryptographic protection against the network-based sniffing of
   passwords and other communication contents.  If TLS is correctly used
   by both server operators and client users, passwords and other
   credentials will not be available to any outside attackers.  However,
   there is a pitfall related to TLS deployment on Web systems: if the
   users are fraudulently routed to a "wrong Website" via some kind of
   social engineering attack (e.g., phishing) and tricked into
   performing authentication on that site, the credentials will be sent
   to the attacker's server and trivially leaked.  Attacks such as
   phishing have become a serious threat.  In current Web system
   deployments, TLS certificates will be issued to almost any users of
   the Internet (including malicious attackers).  Although those
   certificates include several levels of the "validation results" (such
   as corporate names) of the issued entities, the task of "checking"
   those validation results is left to the users of Web browsers, still
   leaving open the possibility of such social engineering attacks.

   Another way to avoid such threats is to avoid password-based
   authentication and use some kinds of pre-deployed strong secret keys
   (on either the client side or the server side) for authentications.
   Several federated authentication frameworks, as well as HTTP
   Origin-Bound Authentication (HOBA) [RFC7486], are proposed and
   deployed on real Web systems to satisfy those needs.  However, a type
   of authentication based on "human-memorable secrets" (i.e.,
   passwords) is still required in several scenarios, such as
   initialization, key deployment to new clients, or recovery of secret
   accounts with lost cryptographic keys.

   The Mutual authentication protocol, as proposed in this document, is
   a strong cryptographic solution for password authentications.  It
   mainly provides the following two key features:

   o  No password information at all is exchanged in the communications.
      When the server and the user fail to authenticate with each other,
      the protocol will not reveal even the tiniest bit of information
      about the user's password.  This prevents any kind of offline
      password dictionary attacks, even with the existence of phishing
      attacks.

   o  To successfully authenticate, the server, as well as client users,
      must own the valid registered credentials (authentication secret).
      This means that a phishing attacker cannot trick users into
      thinking that it is an "authentic" server.  (It should be



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      pointed out that this is not true for Basic and Digest
      authentication; for example, servers using Basic authentication
      can answer "YES" to any clients without actually checking
      authentication at all.)  Client users can ascertain whether or not
      the communicating peer is truly "the server" that registered their
      account beforehand.  In other words, it provides "true" mutual
      authentication between servers and clients.

   Given the information above, the proposed protocol can serve as a
   strong alternative to the Basic, Digest, and Web-form-based
   authentication schemes and also as a strong companion to the
   non-password-based authentication frameworks.

   The proposed protocol will serve in the same way as does existing
   Basic or Digest authentication: it meets the requirements for new
   authentication schemes for HTTP, as described in Section 5.1.2 of
   [RFC7235].  Additionally, to communicate authentication results more
   reliably between the server and the client user, it suggests that Web
   browsers have some "secure" way of displaying the authentication
   results.  Having such a user interface in future browsers will
   greatly reduce the risk of impersonation by various kinds of social
   engineering attacks, in a manner similar to that of the
   "green padlock" for Extended Validation TLS certificates.

   Technically, the authentication scheme proposed in this document is a
   general framework for using password-based authenticated key exchange
   (PAKE) and similar stronger cryptographic primitives with HTTP.  The
   two key features shown above correspond to the nature of PAKE.

1.1.  Terminology

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and
   "OPTIONAL" in this document are to be interpreted as described in
   [RFC2119].

   This document distinguishes the terms "client" and "user" in the
   following way: a "client" is an entity that understands and
   implements HTTP and the specified authentication protocol -- usually
   computer software; a "user" is typically a human being who wants to
   access data resources using a "client".

   The term "natural numbers" refers to the non-negative integers
   (including zero) throughout this document.







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   This document treats both the input (domain) and the output
   (codomain) of hash functions as octet strings.  When a natural number
   output for a hash function is required, it will be written as
   INT(H(s)).

1.2.  Document Structure and Related Documents

   The entire document is organized as follows:

   o  Section 2 presents an overview of the protocol design.

   o  Sections 3 through 11 define a general framework of the Mutual
      authentication protocol.  This framework is independent of
      specific cryptographic primitives.

   o  Section 12 describes properties needed for cryptographic
      algorithms used with this protocol framework and defines a few
      functions that will be shared among such cryptographic algorithms.

   o  Sections 13 through 15 contain general normative and informative
      information about the protocol.

   o  Sections 16 and 17 describe IANA considerations and security
      considerations, respectively.

   In addition, we will refer to the following two companion documents,
   as they are related to this specification:

   o  [RFC8121] defines cryptographic primitives that can be used with
      this protocol framework.

   o  [RFC8053] defines small but useful extensions to the current HTTP
      authentication framework so that it can support application-level
      semantics of existing Web systems.

2.  Protocol Overview

   The protocol, as a whole, is designed as a natural extension to HTTP
   [RFC7230] and uses the framework defined in [RFC7235].  Internally,
   the server and the client will first perform a cryptographic key
   exchange, using the secret password as a "tweak" to the exchange.
   The key exchange will only succeed when the secrets used by both
   peers are correctly related (i.e., generated from the same password).
   Then, both peers will verify the authentication results by confirming
   the sharing of the exchanged key.  This section provides a brief
   outline of the protocol and the exchanged messages.





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2.1.  Messages

   The authentication protocol uses six kinds of messages to perform
   mutual authentication.  These messages have specific names within
   this specification.

   o  Authentication request messages: used by the servers to request
      that clients start mutual authentication.

      *  401-INIT message: a general message to start the authentication
         protocol.  It is also used as a message indicating an
         authentication failure.

      *  401-STALE message: a message indicating that the client has to
         start a new key exchange.

   o  Authenticated key exchange messages: used by both peers to perform
      authentication and the sharing of a cryptographic secret.

      *  req-KEX-C1 message: a message sent from the client.

      *  401-KEX-S1 message: an intermediate response to a req-KEX-C1
         message from the server.

   o  Authentication verification messages: used by both peers to verify
      the authentication results.

      *  req-VFY-C message: a message used by the client to request that
         the server authenticate and authorize the client.

      *  200-VFY-S message: a response used by the server to indicate
         that client authentication succeeded.  It also contains
         information necessary for the client to check the authenticity
         of the server.

   In addition to the above six kinds of messages, a request or response
   without any HTTP headers related to this specification will be
   hereafter called a "normal request" or "normal response",
   respectively.












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2.2.  Typical Flows of the Protocol

   In typical cases, client access to a resource protected by the
   Mutual authentication scheme will use the following protocol
   sequence:

          Client                                 Server
            |                                      |
            |  ---- (1) normal request --------->  |
        GET / HTTP/1.1                             |
            |                                      |
            |  <---------------- (2) 401-INIT ---  |
            |            401 Unauthorized          |
            |            WWW-Authenticate: Mutual realm="a realm"
            |                                      |
   [user,   |                                      |
    pass]-->|                                      |
            |  ---- (3) req-KEX-C1 ------------->  |
        GET / HTTP/1.1                             |
        Authorization: Mutual user="john",         |--> [user DB]
                       kc1="...", ...              |<-- [user info]
            |                                      |
            |  <-------------- (4) 401-KEX-S1 ---  |
            |           401 Unauthorized           |
            |           WWW-Authenticate: Mutual sid=..., ks1="...", ...
            |                                      |
        [compute] (5) compute session secret   [compute]
            |                                      |
            |                                      |
            |  ---- (6) req-VFY-C -------------->  |
        GET / HTTP/1.1                             |--> [verify (6)]
        Authorization: Mutual sid=...,             |<-- OK
                       vkc="...", ...              |
            |                                      |
            |  <--------------- (7) 200-VFY-S ---  |
   [verify  |           200 OK                     |
     (7)]<--|           Authentication-Info: Mutual vks="..."
            |                                      |
            v                                      v

     Figure 1: Typical Communication Flow for First Access to Resource

   o  As is typical in general HTTP protocol designs, a client will at
      first request a resource without any authentication attempt (1).
      If the requested resource is protected by the Mutual
      authentication protocol, the server will respond with a message
      requesting authentication (401-INIT) (2).




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   o  The client processes the body of the message and waits for the
      user to input the username and password.  If the username and
      password are available, the client will send a message with the
      authenticated key exchange (req-KEX-C1) to start the
      authentication (3).

   o  If the server has received a req-KEX-C1 message, the server
      looks up the user's authentication information within its user
      database.  Then, the server creates a new session identifier (sid)
      that will be used to identify sets of the messages that follow it
      and responds with a message containing a server-side authenticated
      key exchange value (401-KEX-S1) (4).

   o  At this point (5), both peers calculate a shared "session secret"
      using the exchanged values in the key exchange messages.  Only
      when both the server and the client have used secret credentials
      generated from the same password will the session secret values
      match.  This session secret will be used for access authentication
      of every individual request/response pair after this point.

   o  The client will send a request with a client-side authentication
      verification value (req-VFY-C) (6), calculated from the
      client-generated session secret.  The server will check the
      validity of the verification value using its own version of the
      session secret.

   o  If the authentication verification value from the client was
      correct, then the client definitely owns the credential based on
      the expected password (i.e., the client authentication succeeded).
      The server will respond with a successful message (200-VFY-S) (7).
      Unlike the usual one-way authentication (e.g., HTTP Basic
      authentication or POP APOP authentication [RFC1939]), this message
      also contains a server-side authentication verification value.

      When the client's verification value is incorrect (e.g., because
      the user-supplied password was incorrect), the server will respond
      with a 401-INIT message (the same message as the message used
      in (2)) instead.

   o  The client MUST first check the validity of the server-side
      authentication verification value contained in the message (7).
      If the value was equal to the expected value, server
      authentication succeeded.








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      If it is not the expected value or the message does not contain
      the authentication verification value, then the mutual
      authentication has been broken for some unexpected reason.  The
      client MUST NOT process any body or header values contained in the
      HTTP response in this case.  (Note: This case should not happen
      between a correctly implemented server and client without any
      active attacks; such a scenario could be caused by either a
      man-in-the-middle attack or incorrect implementation.)

2.3.  Alternative Flows

   As shown above, the typical flow for a first authentication request
   requires three request-response pairs.  To reduce protocol overhead,
   the protocol enables several shortcut flows that require fewer
   messages.

   o  Case A: If the client knows that the resource is likely to require
      authentication, the client MAY omit the first unauthenticated
      request (1) and immediately send a key exchange (req-KEX-C1)
      message.  This will reduce the number of round trips by one.

   o  Case B: If both the client and the server previously shared a
      session secret associated with a valid sid, the client MAY
      directly send a req-VFY-C message using the existing sid and
      corresponding session secret.  This will further reduce the number
      of round trips by one.

      The server MAY have thrown out the corresponding session from the
      session table.  If so, the server will respond with a 401-STALE
      message, indicating that a new key exchange is required.  The
      client SHOULD try again to construct a req-KEX-C1 message in
      this case.



















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   Figure 2 depicts the shortcut flows described above.  When using
   appropriate settings and implementations, most of the requests to
   resources are expected to meet both criteria; thus, only one
   round trip of request/response will be required.

     Case A: Omit first request
             (2 round trips)

        Client            Server
        |                      |
        | --- req-KEX-C1 ----> |
        |                      |
        | <---- 401-KEX-S1 --- |
        |                      |
        | ---- req-VFY-C ----> |
        |                      |
        | <----- 200-VFY-S --- |
        |                      |

     Case B: Reuse session secret (re-authentication)

         (B-1) key available        (B-2) key expired
               (1 round trip)             (3 round trips)

        Client            Server   Client              Server
        |                      |   |                        |
        | ---- req-VFY-C ----> |   | --- req-VFY-C -------> |
        |                      |   |                        |
        | <----- 200-VFY-S --- |   | <------- 401-STALE --- |
        |                      |   |                        |
                                   | --- req-KEX-C1 ------> |
                                   |                        |
                                   | <------ 401-KEX-S1 --- |
                                   |                        |
                                   | --- req-VFY-C -------> |
                                   |                        |
                                   | <------- 200-VFY-S --- |
                                   |                        |

               Figure 2: Several Alternative Protocol Flows

   For more details, see Sections 10 and 11.









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3.  Message Syntax

   Throughout this specification, the syntax is denoted in the extended
   augmented BNF syntax as defined in [RFC7230] and [RFC5234].  The
   following elements are used in this document per [RFC5234],
   [RFC7230], and [RFC7235]: DIGIT, ALPHA, SP, auth-scheme,
   quoted-string, auth-param, header-field, token, challenge, and
   credentials.

   The Mutual authentication protocol uses three headers:
   WWW-Authenticate (usually in responses with a 401 status code),
   Authorization (in requests), and Authentication-Info (in responses
   other than a 401 status code).  These headers follow the frameworks
   described in [RFC7235] and [RFC7615].  See Section 4 for more details
   regarding these headers.

   The framework in [RFC7235] defines the syntax for the headers
   WWW-Authenticate and Authorization as the syntax elements "challenge"
   and "credentials", respectively.  The auth-scheme element contained
   in those headers MUST be set to "Mutual" when using the protocol
   specified in this document.  The syntax for "challenge" and
   "credentials" to be used with the "Mutual" auth-scheme SHALL be
   name-value pairs (#auth-param), not the "token68" parameter defined
   in [RFC7235].

   The Authentication-Info header used in this protocol SHALL follow the
   syntax defined in [RFC7615].

   In HTTP, the WWW-Authenticate header may contain two or more
   challenges.  Client implementations SHOULD be aware of, and be
   capable of correctly handling, those cases.

3.1.  Non-ASCII Extended Header Parameters

   All of the parameters contained in the above three headers, except
   for the "realm" field, MAY be extended to ISO 10646-1 values using
   the framework described in [RFC5987].  All servers and clients MUST
   be capable of receiving and sending values encoded per the syntax
   specified in [RFC5987].

   If a value to be sent contains only ASCII characters, the field MUST
   be sent using plain syntax as defined in RFC 7235.  The syntax as
   extended by RFC 5987 MUST NOT be used in this case.

   If a value (except for the "realm" header) contains one or more
   non-ASCII characters, the parameter SHOULD be sent using the syntax
   defined in Section 3.2 of [RFC5987] as "ext-parameter".  Such a
   parameter MUST have a charset value of "UTF-8", and the language



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   value MUST always be omitted (have an empty value).  The same
   parameter MUST NOT be sent more than once, regardless of the
   syntax used.

   For example, a parameter "user" with the value "Renee of France"
   SHOULD be sent as < user="Renee of France" >.  If the value is
   "Ren<e acute>e of France", it SHOULD be sent as
   < user*=UTF-8''Ren%C3%89e%20of%20France > instead.

   [RFC7235] requires that the "realm" parameter be in its plain form
   (not as an extended "realm*" parameter), so the syntax specified in
   RFC 5987 MUST NOT be used for this parameter.

3.2.  Values

   The parameter values contained in challenges or credentials MUST be
   parsed in strict conformance with HTTP semantics (especially the
   unquoting of string parameter values).  In this protocol, those
   values are further categorized into the following value types:
   tokens (bare-token and extensive-token), string, integer,
   hex-fixed-number, and base64-fixed-number.

   For clarity, it is RECOMMENDED that implementations use the canonical
   representations specified in the following subsections for sending
   values.  However, recipients MUST accept both quoted and unquoted
   representations interchangeably, as specified in HTTP.

3.2.1.  Tokens

   For sustaining both security and extensibility at the same time, this
   protocol defines a stricter sub-syntax for the "token" to be used.
   Extensive-token values SHOULD use the following syntax (after the
   parsing of HTTP values):

      bare-token           = bare-token-lead-char *bare-token-char
      bare-token-lead-char = %x30-39 / %x41-5A / %x61-7A
      bare-token-char      = %x30-39 / %x41-5A / %x61-7A / "-" / "_"
      extension-token      = "-" bare-token 1*("." bare-token)
      extensive-token      = bare-token / extension-token

                   Figure 3: BNF Syntax for Token Values

   The tokens (bare-token and extension-token) are case insensitive.
   Senders SHOULD send these in lower case, and receivers MUST accept
   both upper and lower cases.  When tokens are used as (partial) inputs
   to any hash functions or other mathematical functions, they MUST
   always be used in lower case.




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   Extensive-tokens are used in this protocol where the set of
   acceptable tokens may include non-standard extensions.  Any extension
   of this protocol MAY use either the bare-tokens allocated by IANA
   (see the procedure described in Section 16) or extension-tokens with
   the format "-<bare-token>.<domain-name>", where <domain-name> is a
   valid (sub)domain name on the Internet owned by the party who defines
   the extension.

   Bare-tokens and extensive-tokens are also used for parameter names,
   in the unquoted form.  Requirements for using the extension-token for
   the parameter names are the same as those described in the previous
   paragraph.

   The canonical format for bare-tokens and extensive-tokens is the
   unquoted representation.

3.2.2.  Strings

   All character strings MUST be encoded to octet strings using UTF-8
   encoding [RFC3629] for the Unicode character set [Unicode].  Such
   strings MUST NOT contain any leading Byte Order Marks (BOMs) (also
   known as ZERO WIDTH NO-BREAK SPACE, U+FEFF, or EF BB BF).  It is
   RECOMMENDED that both peers reject any invalid UTF-8 sequences that
   might cause decoding ambiguities (e.g., containing <"> in the second
   or subsequent bytes of the UTF-8 encoded characters).

   If strings represent a domain name or URI that contains non-ASCII
   characters, the host parts SHOULD be encoded as they (the parts) are
   used in the HTTP protocol layer (e.g., in a Host: header); per
   current standards, the A-label as defined in [RFC5890] will be used.
   Lowercase ASCII characters SHOULD be used.

   The canonical format for strings is quoted-string (as it may contain
   equals signs ("="), plus signs ("+"), and slashes ("/")), unless the
   parameter containing the string value will use extended syntax as
   defined in [RFC5987].  (Per [RFC5987], an extended parameter will
   have an unquoted encoded value.)

3.2.3.  Numbers

   The following syntax definitions provide a syntax for numeric values:

    integer             = "0" / (%x31-39 *DIGIT)     ; no leading zeros
    hex-fixed-number    = 1*(2(DIGIT / %x41-46 / %x61-66))
    base64-fixed-number = 1*( ALPHA / DIGIT / "+" / "/" ) 0*2"="

                     Figure 4: BNF Syntax for Numbers




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   The syntax definition of the integers only allows representations
   that do not contain leading zeros.

   A number represented as a hex-fixed-number MUST include an even
   number of hexadecimal digits (i.e., multiples of eight bits).  Those
   values are case insensitive and SHOULD be sent in lower case.  When
   these values are generated from any cryptographic values, they MUST
   have their "natural length"; if they are generated from a hash
   function, their lengths correspond to the hash size; if they
   represent elements of a mathematical set (or group), their lengths
   SHALL be the shortest lengths that represent all the elements in the
   set.  For example, the results of the SHA-256 hash function will be
   represented by 64 digits, and any elements in a 2048-bit prime field
   (modulo a 2048-bit integer) will be represented by 512 digits,
   regardless of how many zeros appear in front of such representations.
   Session identifiers and other non-cryptographically generated values
   are represented in any (even) length determined by the side that
   generates it first, and the same length MUST be used in all
   communications by both peers.

   The numbers represented as base64-fixed-number SHALL be generated as
   follows: first, the number is converted to a big-endian radix-256
   binary representation as an octet string.  The length of the
   representation is determined in the same way as the technique
   mentioned above.  Then, the string is encoded using base64 encoding
   (described in Section 4 of [RFC4648]) without any spaces and
   newlines.  Implementations decoding base64-fixed-number SHOULD reject
   any input data with invalid characters, excess or insufficient
   padding, or non-canonical pad bits (see Sections 3.1 through 3.5 of
   [RFC4648]).

   The canonical format for integer and hex-fixed-number is unquoted
   tokens, and the canonical format for base64-fixed-number is
   quoted-string.

4.  Messages

   In this section, we define the six kinds of messages in the
   authentication protocol, along with the formats and requirements of
   the headers for each type of message.

   To determine under what circumstances each message is expected to be
   sent, see Sections 10 and 11.

   In the descriptions below, the types of allowable values for each
   header parameter are shown in parentheses after each parameter name.
   The "algorithm-determined" type means that the acceptable value for
   the parameter is one of the types defined in Section 3 and is



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   determined by the value of the "algorithm" parameter.  The parameters
   marked "mandatory" SHALL be contained in the message.  The parameters
   marked "non-mandatory" MAY be either contained in the message or
   omitted from it.  Each parameter SHALL appear in each header exactly
   once at most.

   All credentials and challenges MAY contain any parameters not
   explicitly specified in the following sections.  Recipients that
   do not understand such parameters MUST silently ignore them.
   However, all credentials and challenges MUST meet the following
   criteria:

   o  For responses, the parameters "reason", any "ks#" (where "#"
      stands for any decimal integer), and "vks" are mutually exclusive;
      any challenges MUST NOT contain two or more parameters among them.
      They MUST NOT contain any "kc#" or "vkc" parameters.

   o  For requests, the parameters "kc#" (where "#" stands for any
      decimal integer) and "vkc" are mutually exclusive; any challenges
      MUST NOT contain two or more parameters among them.  They MUST NOT
      contain any "ks#" or "vks" parameters.

   Every message defined in this section contains a "version" field to
   detect any future revisions of the protocol that are incompatible.
   Implementations of the protocol described in this specification MUST
   always send a token "1" to represent the version number.  Recipients
   MUST reject messages that contain any other value for the version,
   unless another specification defines specific behavior for that
   version.

4.1.  401-INIT and 401-STALE

   Every 401-INIT or 401-STALE message SHALL be a valid HTTP 401
   (Unauthorized) status message (or some other 4xx status message, if
   appropriate) containing one and only one (hereafter not explicitly
   noted) WWW-Authenticate header containing a "reason" parameter in the
   challenge.  The challenge SHALL contain all of the parameters marked
   "mandatory" below and MAY contain those marked "non-mandatory".

   version:
      (mandatory extensive-token) should be the token "1".

   algorithm:
      (mandatory extensive-token) specifies the authentication algorithm
      to be used.  The value MUST be one of the tokens specified in
      [RFC8121] or another supplemental specification.





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   validation:
      (mandatory extensive-token) specifies the method of host
      validation.  The value MUST be one of the tokens described in
      Section 7 or the tokens specified in another supplemental
      specification.

   auth-scope:
      (non-mandatory string) specifies the authentication scope, i.e.,
      the set of hosts for which the authentication credentials are
      valid.  It MUST be one of the strings described in Section 5.  If
      the value is omitted, it is assumed to be the "single-server type"
      domain as described in Section 5.

   realm:
      (mandatory string) is a string representing the name of the
      authentication realm inside the authentication scope.  As
      specified in [RFC7235], this value MUST always be sent in the
      quoted-string form, and an encoding as specified in [RFC5987]
      MUST NOT be used.

      The realm value sent from the server SHOULD be an ASCII string.
      Clients MAY treat any non-ASCII value received in this field as a
      binary blob, an NFC-normalized UTF-8 string ("NFC" stands for
      "Normalization Form C"), or an error.

   reason:
      (mandatory extensive-token) SHALL be an extensive-token that
      describes the possible reason for the failed authentication or
      authorization.  Both servers and clients SHALL understand and
      support the following three tokens:

      *  initial: Authentication was not attempted because there was no
         Authorization header in the corresponding request.

      *  stale-session: The provided sid in the request was either
         unknown to the server or expired in the server.

      *  auth-failed: The authentication trial failed for some reason,
         possibly because of a bad authentication credential.












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      Implementations MAY support the following tokens or any
      extensive-tokens defined outside of this specification.  If
      clients receive any unknown tokens, they SHOULD treat them as if
      they were "auth-failed" or "initial".

      *  reauth-needed: The server-side application requires a new
         authentication trial, regardless of the current status.

      *  invalid-parameters: The server did not attempt authentication
         because some parameters were not acceptable.

      *  internal-error: The server did not attempt authentication
         because there are some problems on the server side.

      *  user-unknown: This is a special case of auth-failed; it
         suggests that the provided username is invalid.  Due to
         security implications, the use of this parameter is
         NOT RECOMMENDED, except for special-purpose applications where
         it would make sense to do so.

      *  invalid-credential: This is another special case of
         auth-failed; it suggests that the provided username was valid
         but authentication still failed.  For security reasons, the use
         of this parameter is NOT RECOMMENDED.

      *  authz-failed: Authentication was successful, but access to the
         specified resource is not authorized to the specific
         authenticated user.  (It might be used along with either a
         401 (Unauthorized) or 403 (Forbidden) status code to indicate
         that the authentication result is one of the existing reasons
         for the failed authorization.)

      It is RECOMMENDED that the reason for failure be recorded to some
      type of diagnostic log, shown to the client user immediately, or
      both.  It will be helpful to find out later whether the reason for
      the failure is technical or caused by user error.

   The algorithm specified in this header will determine the types
   (among those defined in Section 3) and the values for K_c1, K_s1,
   VK_c, and VK_s.

   Among these messages, any messages with the "reason" parameter value
   "stale-session" will be called "401-STALE" messages hereafter,
   because these messages have a special meaning in the protocol flow.
   Messages with any other "reason" parameters will be called "401-INIT"
   messages.





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4.2.  req-KEX-C1

   Every req-KEX-C1 message SHALL be a valid HTTP request message
   containing an Authorization header with a credential containing a
   "kc1" parameter.

   The credential SHALL contain the parameters with the following names:

   version:
      (mandatory, extensive-token) should be the token "1".

   algorithm, validation, auth-scope, realm:
      MUST be the same values as those received from the server.

   user:
      (mandatory, string) is the UTF-8 encoded name of the user.  The
      string SHOULD be prepared according to the method presented in
      Section 9.

   kc1:
      (mandatory, algorithm-determined) is the client-side key exchange
      value K_c1, which is specified by the algorithm that is used.

4.3.  401-KEX-S1

   Every 401-KEX-S1 message SHALL be a valid HTTP 401 (Unauthorized)
   status response message containing a WWW-Authenticate header with a
   challenge containing a "ks1" parameter.

   The challenge SHALL contain the parameters with the following names:

   version:
      (mandatory, extensive-token) should be the token "1".

   algorithm, validation, auth-scope, realm:
      MUST be the same values as those received from the client.

   sid:
      (mandatory, hex-fixed-number) MUST be a session identifier, which
      is a random integer.  The sid SHOULD have uniqueness of at least
      80 bits or the square of the maximum estimated transactions
      concurrently available in the session table, whichever is larger.
      See Section 6 for more details.

   ks1:
      (mandatory, algorithm-determined) is the server-side key exchange
      value K_s1, which is specified by the algorithm.




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   nc-max:
      (mandatory, integer) is the maximum value of nonce numbers that
      the server accepts.

   nc-window:
      (mandatory, integer) is the number of available nonce number slots
      that the server will accept.  It is RECOMMENDED that the value of
      the "nc-window" parameter be 128 or more.

   time:
      (mandatory, integer) represents the suggested time (in seconds)
      that the client can reuse the session represented by the sid.  It
      is RECOMMENDED that the time be set to at least 60 (seconds).
      However, the server is not required to guarantee that the session
      represented by the sid will be available (e.g., alive, usable) for
      the time specified in this parameter.

   path:
      (non-mandatory, string) specifies to which path in the URI space
      the same authentication is expected to be applied.  The value is a
      space-separated list of URIs, in the same format as that specified
      in the "domain" parameter [RFC7616] for Digest authentications.
      All path elements contained in the "path" parameter MUST be inside
      the specified auth-scope; if not, clients SHOULD ignore such
      elements.  For better performance, it is important that clients
      recognize and use this parameter.

4.4.  req-VFY-C

   Every req-VFY-C message SHALL be a valid HTTP request message
   containing an Authorization header with a credential containing a
   "vkc" parameter.

   The parameters contained in the header are as follows:

   version:
      (mandatory, extensive-token) should be the token "1".

   algorithm, validation, auth-scope, realm:
      MUST be the same values as those received from the server for the
      session.

   sid:
      (mandatory, hex-fixed-number) MUST be one of the sid values that
      was received from the server for the same authentication realm.






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   nc:
      (mandatory, integer) is a nonce request number that is unique
      among the requests sharing the same sid.  The values of the nonce
      numbers SHOULD satisfy the properties outlined in Section 6.

   vkc:
      (mandatory, algorithm-determined) is the client-side
      authentication verification value VK_c, which is specified by the
      algorithm.

4.5.  200-VFY-S

   Every 200-VFY-S message SHALL be a valid HTTP message that does not
   have a 401 (Unauthorized) status code and SHALL contain an
   Authentication-Info header with a "vks" parameter.

   The parameters contained in the header are as follows:

   version:
      (mandatory, extensive-token) should be the token "1".

   sid:
      (mandatory, hex-fixed-number) MUST be the value received from the
      client.

   vks:
      (mandatory, algorithm-determined) is the server-side
      authentication verification value VK_s, which is specified by the
      algorithm.

   The header MUST be sent before the content body; it MUST NOT be sent
   in the trailer of a chunked-encoded response.  If a "100 (Continue)"
   [RFC7231] response is sent from the server, the Authentication-Info
   header SHOULD be included in that response instead of the final
   response.

5.  Authentication Realms

   In this protocol, an authentication realm is defined as a set of
   resources (URIs) for which the same set of usernames and passwords is
   valid.  If the server requests authentication for an authentication
   realm for which the client is already authenticated, the client will
   automatically perform the authentication using the already-known
   credentials.  However, for different authentication realms, clients
   MUST NOT automatically reuse usernames and passwords for another
   realm.





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   As is the case for the Basic and Digest access authentication
   protocols, the Mutual authentication protocol supports multiple,
   separate protection spaces to be set up inside each host.
   Furthermore, the protocol allows a single authentication realm to
   span several hosts within the same Internet domain.

   Each authentication realm is defined and distinguished by the triple
   of an authentication algorithm, an authentication scope, and a
   "realm" parameter.  However, it is NOT RECOMMENDED that server
   operators use the same pair of an authentication scope and a realm
   with different authentication algorithms.

   The "realm" parameter is a string as defined in Section 4.
   Authentication scopes are described in the remainder of this section.

   An authentication scope specifies the range of hosts spanned by the
   authentication realm.  In this protocol, it MUST be one of the
   following kinds of strings:

   o  Single-server type: A string in the format "<scheme>://<host>" or
      "<scheme>://<host>:<port>", where <scheme>, <host>, and <port> are
      the corresponding URI parts of the request URI.  If the default
      port (i.e., 80 for HTTP and 443 for HTTPS) is used for the
      underlying HTTP communications, the port part MUST be omitted,
      regardless of whether it was present in the request URI.  In all
      other cases, the port part MUST be present, and it MUST NOT
      contain leading zeros.  Use this format when authentication is
      only valid for a specific protocol (such as HTTPS).  This format
      is equivalent to the ASCII serialization of a Web origin, as
      presented in Section 6.2 of [RFC6454].

   o  Single-host type: The "host" part of the requested URI.  This is
      the default value.  Authentication realms within this kind of
      authentication scope will span several protocols (e.g., HTTP and
      HTTPS) and ports but will not span different hosts.

   o  Wildcard-domain type: A string in the format "*.<domain-postfix>",
      where <domain-postfix> is either the host part of the requested
      URI or any domain in which the requested host is included (this
      means that the specification "*.example.com" is valid for all of
      hosts "www.example.com", "web.example.com",
      "www.sales.example.com", and "example.com").  The domain-postfix
      sent by the servers MUST be equal to or included in a valid
      Internet domain assigned to a specific organization; if clients
      know, via some means such as a blacklist for HTTP cookies
      [RFC6265], that the specified domain is not to be assigned to any
      specific organization (e.g., "*.com" or "*.jp"), it is RECOMMENDED
      that clients reject the authentication request.



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   In the above specifications, every "scheme", "host", and "domain"
   MUST be in lower case, and any internationalized domain names beyond
   the ASCII character set SHALL be represented in the way they are sent
   in the underlying HTTP protocol, represented in lowercase characters,
   i.e., these domain names SHALL be in the form of LDH ("letters,
   digits, hyphen") labels as defined in the Internationalized Domain
   Names for Applications (IDNA) specification [RFC5890].  A "port" MUST
   be given in shortest unsigned decimal number notation.  Not obeying
   these requirements will cause valid authentication attempts to fail.

5.1.  Resolving Ambiguities

   In the above definitions of authentication scopes, several scopes may
   overlap each other.  If a client has already been authenticated to
   several realms applicable to the same server, the client may have
   multiple lists of the "path" parameters received with the
   "401-KEX-S1" message (see Section 4).  If these path lists have any
   overlap, a single URI may belong to multiple possible candidate
   realms to which the client can be authenticated.  In such cases,
   clients face an ambiguous choice regarding which credentials to send
   for a new request (see Steps 3 and 4 of the decision procedure
   presented in Section 10).

   In such cases, a client MAY freely send requests that belong to any
   of these candidate realms, or it MAY simply send an unauthenticated
   request and see for which realm the server requests an
   authentication.  It is RECOMMENDED that server operators provide
   properly configured "path" parameters (more precisely, disjoint path
   sets for each realm) for clients so that such ambiguities will not
   occur.

   The following procedure is one possible tactic for resolving
   ambiguities in such cases:

   o  If the client has previously sent a request to the same URI and it
      remembers the authentication realm requested by the 401-INIT
      message at that time, use that realm.

   o  In other cases, use one of the authentication realms representing
      the most-specific authentication scopes.  The list of possible
      domain specifications shown above is given from most specific to
      least specific.

      If there are several choices with different wildcard-domain
      specifications, the one that has the longest domain-postfix has
      priority over those with shorter domain-postfixes.





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   o  If there are realms with the same authentication scope, there is
      no defined priority; the client MAY choose any one of the possible
      choices.

6.  Session Management

   In the Mutual authentication protocol, a session represented by
   an sid is set up using four messages (first request, 401-INIT,
   req-KEX-C1, and 401-KEX-S1), after which a session secret (z)
   associated with the session is established.  After mutually
   establishing a session secret, this session, along with the secret,
   can be used for one or more requests for resources protected by the
   same realm on the same server.  Note that session management is only
   an inside detail of the protocol and usually not visible to normal
   users.  If a session expires, the client and server SHOULD
   automatically re-establish another session without informing
   the user.

   Sessions and session identifiers are local to each server (defined by
   scheme, host, and port), even if an authentication scope covers
   multiple servers; clients MUST establish separate sessions for each
   port of a host to be accessed.  Furthermore, sessions and identifiers
   are also local to each authentication realm, even if they are
   provided by the same server.  The same session identifiers provided
   either from different servers or for different realms MUST be treated
   as being independent of each other.

   The server SHOULD accept at least one req-VFY-C request for each
   session if the request reaches the server in a time window specified
   by the "timeout" parameter in the 401-KEX-S1 message and if there are
   no emergent reasons (such as flooding attacks) to forget the session.
   After that, the server MAY discard any session at any time and MAY
   send 401-STALE messages for any further req-VFY-C requests received
   for that session.

   The client MAY send two or more requests using a single session
   specified by the sid.  However, for all such requests, each value of
   the nonce number (in the "nc" parameter) MUST satisfy the following
   conditions:

   o  It is a natural number.

   o  The same nonce number was not sent within the same session.

   o  It is not larger than the nc-max value that was sent from the
      server in the session represented by the sid.





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   o  It is larger than (largest-nc - nc-window), where largest-nc is
      the largest value of nc that was previously sent in the session
      and nc-window is the value of the "nc-window" parameter that was
      received from the server for the session.

   The last condition allows servers to reject any nonce numbers that
   are "significantly" smaller than the "current" value (defined by the
   value of nc-window) of the nonce number used in the session involved.
   In other words, servers MAY treat such nonce numbers as "already
   received".  This restriction enables servers to implement
   duplicate-nonce detection in a constant amount of memory for each
   session.

   Servers MUST check for duplication of the received nonce numbers, and
   if any duplication is detected, the server MUST discard the session
   and respond with a 401-STALE message, as outlined in Section 11.  The
   server MAY also reject other invalid nonce numbers (such as those
   above the nc-max limit) by sending a 401-STALE message.

   For example, assume that the nc-window value of the current session
   is 128 and nc-max is 400, and that the client has already used the
   following nonce numbers: {1-120, 122, 124, 130-238, 255-360,
   363-372}.  The nonce number that can then be used for the next
   request is a number from the following set: {245-254, 361, 362,
   373-400}.  The values {0, 121, 123, 125-129, 239-244} MAY be rejected
   by the server because they are not above the current "window limit"
   (244 = 372 - 128).

   Typically, clients can ensure the above property by using a
   monotonically increasing integer counter that counts from zero up to
   the value of nc-max.

   The values of the nonce numbers and any nonce-related values MUST
   always be treated as natural numbers within an infinite range.
   Implementations that use fixed-width integer representations,
   fixed-precision floating-point numbers, or similar representations
   SHOULD NOT reject any larger values that overflow such representative
   limits and MUST NOT silently truncate them using any modulus-like
   rounding operation (e.g., by mod 2^32).  Instead, the whole protocol
   is carefully designed so that recipients MAY replace any such
   overflowing values (e.g., 2^80) with some reasonably large maximum
   representative integer (e.g., 2^31 - 1 or others).









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7.  Host Validation Methods

   The "validation method" specifies a method to "relate" (or "bind")
   the mutual authentication processed by this protocol with other
   authentications already performed in the underlying layers and to
   prevent man-in-the-middle attacks.  It determines the value vh that
   is an input to the authentication protocols.

   When HTTPS or another possible secure transport is used, this
   corresponds to the idea of "channel binding" as described in
   [RFC5929].  Even when HTTP is used, similar, but somewhat limited,
   "binding" is performed to prevent a malicious server from trying to
   authenticate itself to another server as a valid user by forwarding
   the received credentials.

   The valid tokens for the "validation" parameter and corresponding
   values of vh are as follows:

   host:
      hostname validation.  The value vh will be the ASCII string in the
      following format: "<scheme>://<host>:<port>", where <scheme>,
      <host>, and <port> are the URI components corresponding to the
      server-side resource currently being accessed.  The scheme and
      host are in lower case, and the port is listed in shortest decimal
      notation.  Even if the request URI does not have a port part, vh
      will include the default port number.

   tls-server-end-point:
      TLS endpoint (certificate) validation.  The value vh will be the
      octet string of the hash value of the server's public key
      certificate used in the underlying TLS [RFC5246] connection,
      processed as specified in Section 4.1 of [RFC5929].

   tls-unique:
      TLS shared-key validation.  The value vh will be the
      channel-binding material derived from the Finished messages,
      as defined in Section 3.1 of [RFC5929].  (Note: See Section 7.2
      for some security-related notes regarding this validation method.)

   If HTTP is used on a non-encrypted channel (TCP and the Stream
   Control Transmission Protocol (SCTP), for example), the validation
   type MUST be "host".  If HTTP/TLS [RFC2818] (HTTPS) is used with a
   server certificate, the validation type MUST be
   "tls-server-end-point".  If HTTP/TLS is used with an anonymous
   Diffie-Hellman key exchange, the validation type MUST be "tls-unique"
   (see the note below).





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   If the validation type "tls-server-end-point" is used, the server
   certificate provided in the TLS connection MUST be verified at least
   to make sure that the server actually owns the corresponding private
   key.  (Note: This verification is automatic in some RSA-based key
   exchanges but is NOT automatic in Diffie-Hellman-based key exchanges
   with separate exchanges for server verification.)

   Clients MUST validate this parameter upon receipt of 401-INIT
   messages.

   Note: The protocol defines two variants of validation on the TLS
   connections.  The "tls-unique" method is technically more secure.
   However, there are some situations where "tls-server-end-point" is
   preferable:

   o  When TLS accelerating proxies are used.  In this case, it is
      difficult for the authenticating server to acquire the TLS key
      information that is used between the client and the proxy.  This
      is not the case for client-side "tunneling" proxies using the HTTP
      CONNECT method.

   o  When a black-box implementation of the TLS protocol is used on
      either peer.

7.1.  Applicability Notes

   When the client is a Web browser with any scripting capabilities
   (support of dynamic contents), the underlying TLS channel used with
   HTTP/TLS MUST provide server identity verification.  This means that
   (1) anonymous Diffie-Hellman key exchange cipher suites MUST NOT be
   used and (2) verification of the server certificate provided by the
   server MUST be performed.  This is to prevent loading identity-
   unauthenticated scripts or dynamic contents, which are referenced
   from the authenticated page.

   For other systems, when the underlying TLS channel used with HTTP/TLS
   does not perform server identity verification, the client SHOULD
   ensure that all responses are validated using the Mutual
   authentication protocol, regardless of the existence of 401-INIT
   responses.











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7.2.  Notes on "tls-unique"

   As described in the interoperability note in Section 3.1 of
   [RFC5929], the "tls-unique" verification value will be changed by
   possible TLS renegotiation, causing an interoperability problem.  TLS
   renegotiations are used in several HTTPS server implementations for
   enforcing some security properties (such as cryptographic strength)
   for some specific responses.

   If an implementation supports the "tls-unique" verification method,
   the following precautions SHOULD be taken:

   o  Both peers must be aware that the vh values used for vkc (in
      req-VFY-C messages) and vks (in 200-VFY-S messages) may be
      different.  These values MUST be retrieved from underlying TLS
      libraries each time they are used.

   o  After calculating the values vh and vkc to send a req-VFY-C
      request, clients SHOULD NOT initiate TLS renegotiation until the
      end of the corresponding response header is received.  An
      exception is that clients can and SHOULD perform TLS renegotiation
      as a response to the server's request for TLS renegotiation,
      before receipt of the beginning of the response header.

   Also, implementers MUST take care of session resumption attacks
   regarding "tls-unique" channel-binding mechanisms and master secrets.
   As a mitigation, the TLS extension defined in [RFC7627] SHOULD be
   used when "tls-unique" host verification is to be used.

8.  Authentication Extensions

   It is RECOMMENDED that interactive clients (e.g., Web browsers)
   supporting this protocol support non-mandatory authentication and the
   Authentication-Control header defined in [RFC8053], except for the
   "auth-style" parameter.  This specification also proposes (but does
   not mandate) that the default "auth-style" be "non-modal".  Web
   applications SHOULD, however, consider the security impacts of the
   behavior of clients that do not support these headers.

   Authentication-initializing messages with the
   Optional-WWW-Authenticate header are used only where the 401-INIT
   response is valid.  It will not replace other 401-type messages such
   as 401-STALE and 401-KEX-S1.  That is, the "reason" field of such a
   message MUST be "initial" (or any extensive-tokens NOT defined in
   Section 4.1).






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9.  String Preparation

   For interoperability reasons, it is important that usernames and
   passwords used in this protocol be binary-comparable, regardless of
   the user's input methods and/or environments.  To ensure this, the
   following preparation SHOULD be performed:

   o  Usernames received from users SHOULD be prepared using the
      "UsernameCasePreserved" profile defined in Section 3.3 of
      [RFC7613].

   o  Passwords received from users SHOULD be prepared using the
      "OpaqueString" profile defined in Section 4.2 of [RFC7613].

   In both cases, it is the sender's duty to correctly prepare the
   character strings.  If any non-prepared character string is received
   from the other peer of the communication, the behavior of its
   recipient is not defined; the recipient MAY either accept or reject
   such input.

   Server applications SHOULD also prepare usernames and passwords
   accordingly upon registration of user credentials.

   In addition, binary-based "interfaces" of implementations MAY require
   and assume that the string is already prepared accordingly; when a
   string is already stored as a binary Unicode string form,
   implementations MAY omit preparation and Unicode normalization
   (performing UTF-8 encoding only) before using it.  When a string is
   already stored as an octet blob, implementations MAY send it as is.

10.  Decision Procedure for Clients

10.1.  General Principles and Requirements

   To securely implement the protocol, the client must be careful about
   accepting the authenticated responses from the server.  This also
   holds true for the reception of a "normal response" (a response that
   does not contain mutual-authentication-related headers) from HTTP
   servers.












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   Per typical HTTP authentication, a single user-level request may
   result in the exchange of two or more HTTP requests and responses in
   sequence.  The following normative rules MUST be followed by the
   clients implementing this protocol:

   o  Any kind of "normal response" MUST only be accepted for the very
      first request in the sequence.  Any "normal response" returned for
      the second or subsequent requests in the sequence SHALL be
      considered invalid.

   o  By the same principle, if any response is related to an
      authentication realm that is different from that of the client's
      request (for example, a 401-INIT message requesting authentication
      on another realm), it MUST only be accepted for the very first
      request in the sequence.  Such a response returned for a second or
      subsequent request in the sequence SHALL be considered invalid.

   o  A req-KEX-C1 message MAY be sent as either an initial request or a
      response to a 401-INIT or 401-STALE message.  However, to avoid
      infinite loops of messages, the req-KEX-C1 message SHOULD NOT be
      sent more than once in the sequence for a single authentication
      realm.  A 401-KEX-S1 response MUST be accepted only when the
      corresponding request is req-KEX-C1.

   o  A req-VFY-C message MAY be sent if there is a valid session secret
      shared between the client and the server, as established by
      req-KEX-C1 and 401-KEX-S1 messages.  If any response with a
      401 status code is returned for such a message, the corresponding
      session secret SHOULD be discarded as unusable.

      In particular, upon the reception of a 401-STALE response, the
      client SHOULD try to establish a new session by sending a
      req-KEX-C1 message, but only once within the request/response
      sequence.

   o  A 200-VFY-S message MUST be accepted only as a response to a
      req-VFY-C message and nothing else.  The VK_s values of such
      response messages MUST always be checked against the correct
      value, and if it is incorrect, the whole response SHOULD be
      considered invalid.











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   The final status of the client request following the message exchange
   sequence shall be determined as follows:

   o  AUTH-SUCCEED: A 200-VFY-S message with the correct VK_s value was
      returned in response to the req-VFY-C request in the sequence.

   o  AUTH-REQUIRED: Two cases exist:

      *  A 401-INIT message was returned from the server, and the client
         does not know how to authenticate to the given authentication
         realm.

      *  A 401-INIT response was returned for a req-VFY-C (or
         req-KEX-C1) message, which means that the user-supplied
         authentication credentials were not accepted.

   o  UNAUTHENTICATED: A "normal response" is returned for an initial
      request of any kind in the sequence.

   Any kind of response (including a "normal response") other than those
   explicitly allowed in the above rules SHOULD be interpreted as a
   fatal communication error.  In such cases, the clients MUST NOT
   process any data (the response body and other content-related
   headers) sent from the server.  However, to handle exceptional error
   cases, clients MAY accept a message without an Authentication-Info
   header if it has a Server Error (5xx) status code.  In such cases,
   they SHOULD be careful about processing the body of the content
   (ignoring it is still RECOMMENDED, as it may possibly be forged by
   intermediate attackers), and the client will then have a status of
   "UNAUTHENTICATED".

   If a request is a sub-request for a resource included in another
   resource (e.g., embedded images, style sheets, frames), clients MAY
   treat an AUTH-REQUESTED status the same way they would treat an
   UNAUTHENTICATED status.  In other words, the client MAY ignore the
   server's request to start authentication with new credentials via
   sub-requests.

10.2.  State Machine for the Client (Informative)

   The following state machine describes the possible request-response
   sequences derived from the above normative rules.  If implementers
   are not quite sure of the security consequences of the above rules,
   we strongly advise that the decision procedure below be followed.  In
   particular, clients SHOULD NOT accept "normal responses" unless
   explicitly allowed in the rules.  The labels in the steps below are





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   for informational purposes only.  Action entries within each step are
   checked in top-to-bottom order, and the first clause satisfied is to
   be followed.

   Step 1 (step_new_request):
       If the client software needs to access a new Web resource, check
       to see whether the resource is expected to be inside some
       authentication realm for which the user has already been
       authenticated via the Mutual authentication scheme.  If yes,
       go to Step 2.  Otherwise, go to Step 5.

   Step 2:
       Check to see whether there is an available sid for the expected
       authentication realm.  If there is one, go to Step 3.  Otherwise,
       go to Step 4.

   Step 3 (step_send_vfy_1):
       Send a req-VFY-C request.

       *  If a 401-INIT message is received with a different
          authentication realm than expected, go to Step 6.

       *  If a 401-STALE message is received, go to Step 9.

       *  If a 401-INIT message is received, go to Step 13.

       *  If a 200-VFY-S message is received, go to Step 14.

       *  If a "normal response" is received, go to Step 11.

   Step 4 (step_send_kex1_1):
       Send a req-KEX-C1 request.

       *  If a 401-INIT message is received with a different
          authentication realm than expected, go to Step 6.

       *  If a 401-KEX-S1 message is received, go to Step 10.

       *  If a 401-INIT message is received with the same authentication
          realm, go to Step 13 (see Note 1).

       *  If a "normal response" is received, go to Step 11.









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   Step 5 (step_send_normal_1):
       Send a request without any mutual-authentication headers.

       *  If a 401-INIT message is received, go to Step 6.

       *  If a "normal response" is received, go to Step 11.

   Step 6 (step_rcvd_init):
       Check to see whether the user's password for the requested
       authentication realm is known.  If yes, go to Step 7.  Otherwise,
       go to Step 12.

   Step 7:
       Check to see whether there is an available sid for the expected
       authentication realm.  If there is one, go to Step 8.  Otherwise,
       go to Step 9.

   Step 8 (step_send_vfy):
       Send a req-VFY-C request.

       *  If a 401-STALE message is received, go to Step 9.

       *  If a 401-INIT message is received, go to Step 13.

       *  If a 200-VFY-S message is received, go to Step 14.

   Step 9 (step_send_kex1):
       Send a req-KEX-C1 request.

       *  If a 401-KEX-S1 message is received, go to Step 10.

       *  If a 401-INIT message is received, go to Step 13 (see Note 1).

   Step 10 (step_rcvd_kex1):
       Send a req-VFY-C request.

       *  If a 401-INIT message is received, go to Step 13.

       *  If a 200-VFY-S message is received, go to Step 14.

   Step 11 (step_rcvd_normal):
       The requested resource is out of the authenticated area.  The
       client will be in the "UNAUTHENTICATED" status.  If the response
       contains a request for authentication other than Mutual
       authentication, it MAY be handled normally.






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   Step 12 (step_rcvd_init_unknown):
       The requested resource requires Mutual authentication, and the
       user is not yet authenticated.  The client will be in the
       "AUTH-REQUESTED" status; it is RECOMMENDED that the client
       process the content sent from the server and ask the user for a
       username and password.  When those are supplied by the user,
       go to Step 9.

   Step 13 (step_rcvd_init_failed):
       The authentication failed for some reason, possibly because the
       password or username is invalid for the authenticated resource.
       Forget the user-provided credentials for the authentication
       realm, and go to Step 12.

   Step 14 (step_rcvd_vfy):
       The received message is the 200-VFY-S message, which always
       contains a "vks" field.  Check the validity of the received VK_s
       value.  If it is equal to the expected value, then the mutual
       authentication succeeded.  The client will be in the
       "AUTH-SUCCEED" status.

       An unexpected value is interpreted as a fatal communication
       error.

       If a user explicitly asks to log out (via the user interface),
       the client MUST forget the user's password, go to Step 5, and
       reload the current resource without an authentication header.

   Note 1:  These transitions MAY be accepted by clients, but it is
       NOT RECOMMENDED that servers initiate them.

   Figure 5 shows an informative diagram of the client state.



















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         ===========                                  -(11)------------
         NEW REQUEST                                 ( UNAUTHENTICATED )
         ===========                                  -----------------
              |                                              ^ normal
              v                                              | response
   +(1)-------------------+ NO                         +(5)----------+
   | The requested URI    |--------------------------->| send normal |
   | known to be auth'ed? |                            |   request   |
   +----------------------+                            +-------------+
          YES |   401-INIT                            401-INIT|
              |   with a different realm                      |
              |          -----------------------------------. |
              |         /                                   v v
              |        |       -(12)------------    NO  +(6)--------+
              |        |      ( AUTH-REQUESTED  )<------| user/pass |
              |        |       -----------------        |   known?  |
              |        |                                +-----------+
              |        |                                      |YES
              v        |                                      v
        +(2)--------+  |                                +(7)--------+
        | session   |  |                                | session   | NO
    NO /| available?|  |                                | available?|\
      / +-----------+  |                                +-----------+ |
     /        |YES     |                                      |YES    |
    |         |       /|                                      |       |
    |         v      / |  401-                   401-         v       |
    |   +(3)--------+  |  INIT --(13)----------  INIT   +(8)--------+ |
    |   |   send    |--+----->/ AUTH-REQUESTED \<-------|   send    | |
    |  /| req-VFY-C |  |      \forget password /        | req-VFY-C | |
     \/ +-----------+ /        ----------------        /+-----------+ |
     /\           \ \/                 ^ 401-INIT     |     |401-     |
    |  ------      \/\  401-STALE      |              |     | STALE  /
    |        \     /\ -----------------+--------------+---. |       /
    |         |   /  \                 |              |   | |      /
    |         v  /    | 401-           |       401-   |   v v     v
    |   +(4)--------+ | KEX-S1   +(10)-------+ KEX-S1 | +(9)--------+
    |   |   send    |-|--------->|   send    |<-------+-|   send    |
    | --| req-KEX-C1| |          | req-VFY-C |        | | req-KEX-C1|
    |/  +-----------+ |          +-----------+        | +-----------+
    |                 |200-VFY-S      |      200-VFY-S|       ^
    |normal           |               |200-VFY-S     /        |
    |response         |               v             / ==================
    v                  \         -(14)---------    /  USER/PASS INPUTTED
    -(11)------------   ------->( AUTH-SUCCEED )<--   ==================
   ( UNAUTHENTICATED )           --------------
    -----------------

                    Figure 5: State Diagram for Clients



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11.  Decision Procedure for Servers

   Each server SHOULD have a table of session states.  This table need
   not be persistent over the long term; it MAY be cleared upon server
   restart, reboot, or for other reasons.  Each entry in the table
   SHOULD contain at least the following information:

   o  The session identifier, which is the value of the "sid" parameter.

   o  The algorithm used.

   o  The authentication realm.

   o  The state of the protocol: one of "key exchanging",
      "authenticated", "rejected", or "inactive".

   o  The username received from the client.

   o  A boolean flag indicating whether or not the session is fake.

   o  When the state is "key exchanging", the values of K_c1 and S_s1.

   o  When the state is "authenticated", the following information:

      *  The value of the session secret (z).

      *  The largest nc received from the client (largest-nc).

      *  For each possible nc value between (largest-nc - nc-window + 1)
         and max_nc, a boolean flag indicating whether or not a request
         with the corresponding nc has been received.

   The table MAY contain other information.

   Servers SHOULD respond to the client requests according to the
   following procedure (see Note 1 below regarding 401-INIT messages
   with a plus sign):

   o  When the server receives a "normal request":

      *  If the requested resource is not protected by the Mutual
         authentication, send a "normal response".

      *  If the resource is protected by the Mutual authentication, send
         a 401-INIT response.






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   o  When the server receives a req-KEX-C1 request:

      *  If the requested resource is not protected by the Mutual
         authentication, send a "normal response".

      *  If the authentication realm specified in the req-KEX-C1 request
         is not the expected realm, send a 401-INIT response.

      *  If the server cannot validate the parameter "kc1", send a
         401-INIT (+) response.

      *  If the received username is either invalid, unknown, or
         unacceptable, create a new session, mark it as a "fake"
         session, compute a random value as K_s1, and send a fake
         401-KEX-S1 response (see Note 2).

      *  Otherwise, create a new session, compute K_s1, and send a
         401-KEX-S1 response.  The created session is marked as not
         fake, and its largest-nc value is initialized to zero.

      The created session is in the "key exchanging" state.

   o  When the server receives a req-VFY-C request:

      *  If the requested resource is not protected by the Mutual
         authentication, send a "normal response".

      *  If the authentication realm specified in the req-VFY-C request
         is not the expected realm, send a 401-INIT response.

      If none of the above holds true, the server will look up the
      session corresponding to the received sid and the authentication
      realm.

      *  If the session corresponding to the received sid could not be
         found or it is in the "inactive" state, send a 401-STALE
         response.

      *  If the session is in the "rejected" state, send either a
         401-INIT (+) response or a 401-STALE message.

      *  If the nc value in the request is larger than the "nc-max"
         parameter sent from the server or it is not larger than
         (largest-nc - nc-window) (when in the "authenticated" state),
         the server MAY (but is not REQUIRED to; see Note 3) send a
         401-STALE message.  The session is changed to the "inactive"
         state if the 401-STALE message was sent.




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      *  If the session is in the "authenticated" state and the request
         has an nc value that was previously received from the client,
         send a 401-STALE message.  The session is changed to the
         "inactive" state.

      *  If the session is a "fake" session or the received vkc is
         incorrect, then send a 401-INIT (+) response.  If the session
         is in the "key exchanging" state, it MUST be changed to the
         "rejected" state; otherwise, it MAY be either changed to the
         "rejected" state or kept in the previous state.

      *  Otherwise, send a 200-VFY-S response.  If the session was in
         the "key exchanging" state, the session SHOULD be changed to
         the "authenticated" state.  The maximum nc and nc flags of the
         state MUST be updated appropriately.

   At any time, the server MAY change any state entries with both the
   "rejected" and "authenticated" states to the "inactive" state and MAY
   discard any "inactive" states from the table.  Entries with the "key
   exchanging" state SHOULD be kept unless there is an emergency
   situation such as a server reboot or a table capacity overflow.

   Note 1: In relation to, and following the specification of, the
   optional authentication defined in [RFC8053], the 401-INIT messages
   marked with plus signs cannot be replaced with a successful response
   with an Optional-WWW-Authenticate header.  Every other 401-INIT can
   be a response with an Optional-WWW-Authenticate header.

   Note 2: The server SHOULD NOT send a 401-INIT response in this case,
   because it will leak the information to the client that the specified
   username will not be accepted.  Instead, postpone it until the
   response to the next req-VFY-C request.

   Note 3: If the request is not rejected in this clause, the server
   will be required, in the next step, to determine whether the same nc
   value was previously received from the client.  If that is
   impossible, the server MUST send a 401-STALE response in this step.
   If the server does not remember the whole history of the nc values
   received from the client, the server MUST send a 401-STALE message in
   this clause.











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12.  Authentication Algorithms

   Cryptographic authentication algorithms that are used with this
   protocol will be defined separately.  The algorithm definition MUST
   at least provide definitions for the following functions:

   o  The server-side authentication credential J, derived from the
      client-side authentication credential pi.

   o  Key exchange values K_c1, K_s1 (exchanged on the wire) and
      S_c1, S_s1 (kept secret in each peer).

   o  Shared session secret (z), to be computed by both server and
      client.

   o  A hash function H to be used with the protocol, along with its
      output size hSize.

   o  The value nIterPi, the number of iterations for the key derivation
      operation.

   Specifications for cryptographic algorithms used with this framework
   MUST specify whether those algorithms will (1) use the default
   functions defined below for values pi, VK_c, and VK_s or (2) define
   their own comparable functions.

   All algorithms used with this protocol SHOULD provide secure mutual
   authentication between clients and servers and generate a
   cryptographically strong shared secret value (z) that is equally
   strong or stronger than the hash function H.  If any passwords (or
   passphrases or any equivalents, i.e., weak secrets) are involved,
   these SHOULD NOT be guessable from any data transmitted in the
   protocol, even if an attacker (either an eavesdropper or an active
   server) knows the possible thoroughly searchable candidate list of
   passwords.  Furthermore, it is RECOMMENDED that the function J for
   deriving the server-side authentication credential J(pi) be one-way,
   if possible, so that pi cannot be easily computed from J(pi).

12.1.  Support Functions and Notations

   In this section, we define several support functions and notations to
   be shared by several algorithm definitions.

   The integers in the specification are in decimal, or in hexadecimal
   when prefixed with "0x".






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   The function octet(i) generates an octet string containing a single
   octet of value i.  The operator "|", when applied to octet strings,
   denotes the concatenation of two operands.

   The function VI encodes natural numbers into octet strings in the
   following manner: numbers are represented as big-endian radix-128
   strings, where each digit is represented by an octet within the range
   0x80-0xff, except for the last digit, which is represented by an
   octet within the range 0x00-0x7f.  The first octet MUST NOT be 0x80.
   For example, VI(i) = octet(i) for i < 128, and
   VI(i) = octet(0x80 + (i >> 7)) | octet(i & 127) for 128 <= i < 16384.
   This encoding is the same as the encoding used for the subcomponents
   of object identifiers in ASN.1 encoding [ITU.X690.2015] and is
   available as a "w" conversion in the "pack" function of several
   scripting languages.

   The function VS encodes a variable-length octet string into a
   uniquely decoded, self-delimited octet string in the following
   manner:

   VS(s) = VI(length(s)) | s

   where length(s) is a number of octets (not characters) in s.

   Some examples:

      VI(0) = "\000" (in C string notation)

      VI(100) = "d"

      VI(10000) = "\316\020"

      VI(1000000) = "\275\204@"

      VS("") = "\000"

      VS("Tea") = "\003Tea"

      VS("Caf<e acute>" [in UTF-8]) = "\005Caf\303\251"

      VS([10000 "a"s]) = "\316\020aaaaa..." (10002 octets)

   (Note: Unlike the colon-separated format used in the Basic and Digest
   HTTP authentication schemes, the string generated by a concatenation
   of the VS-encoded strings will be unique, regardless of the
   characters included in the strings to be encoded.)





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   The function OCTETS converts an integer into the corresponding
   radix-256 big-endian octet string having its natural length.  See
   Section 3.2.3 for the definition of "natural length".

   The function INT converts an octet string into a natural number,
   where the input string is treated as being in radix-256 big-endian
   notation.  The identity INT(OCTETS(n)) = n always holds for any
   natural number n.

12.2.  Default Functions for Algorithms

   The functions defined in this section are common default functions
   among authentication algorithms.

   The client-side password-based (credential) pi used by this
   authentication is a natural number derived in the following manner:

      pi = INT(PBKDF2(HMAC_H, password, VS(algorithm) | VS(auth-scope) |
      VS(realm) | VS(username), nIterPi, hSize / 8))

   where

   o  PBKDF2 is the password-based key derivation function defined in
      [RFC8018],

   o  HMAC_H is the Hashed Message Authentication Code (HMAC) function,
      defined in [RFC2104], composed from the hash function H, and

   o  hSize is the output size of hash H in bits.

   The values of algorithm, realm, and auth-scope are taken from the
   values contained in the 401-INIT message.  If the password comes from
   user input, it SHOULD first be prepared according to the method
   presented in Section 9.  Then, the password SHALL be encoded as a
   UTF-8 string.

   The values VK_c and VK_s are derived via the following equations:

      VK_c = INT(H(octet(4) | OCTETS(K_c1) | OCTETS(K_s1) | OCTETS(z) |
      VI(nc) | VS(vh)))

      VK_s = INT(H(octet(3) | OCTETS(K_c1) | OCTETS(K_s1) | OCTETS(z) |
      VI(nc) | VS(vh)))








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13.  Application Channel Binding

   Applications and upper-layer communication protocols may need
   authentication binding to the HTTP-layer authenticated user.  Such
   applications MAY use the following values as a standard shared
   secret.

   These values are parameterized with an optional octet string (t),
   which may be arbitrarily chosen by each application or protocol.  If
   there is no appropriate value to be specified, use an empty string
   for t.

   For applications requiring binding to either an authenticated user or
   a shared-key session (to ensure that the requesting client is
   authenticated), the following value b_1 MAY be used:

      b_1 = H(H(octet(6) | OCTETS(K_c1) | OCTETS(K_s1) | OCTETS(z) |
      VI(0) | VS(vh)) | VS(t))

   For applications requiring binding to a specific request (to ensure
   that the payload data is generated for the exact HTTP request), the
   following value b_2 MAY be used:

      b_2 = H(H(octet(7) | OCTETS(K_c1) | OCTETS(K_s1) | OCTETS(z) |
      VI(nc) | VS(vh)) | VS(t))

   Note: Channel bindings to lower-layer transports (TCP and TLS) are
   defined in Section 7.

14.  Application for Proxy Authentication

   The authentication scheme defined in the previous sections can be
   applied (with modifications) to proxy authentication.  In such cases,
   the following alterations MUST be applied:

   o  The 407 (Proxy Authentication Required) status code is to be sent
      and recognized in places where the 401 status code is used,

   o  The Proxy-Authenticate header is to be used in places where the
      WWW-Authenticate header is used,

   o  The Proxy-Authorization header is to be used in places where the
      Authorization header is used,

   o  The Proxy-Authentication-Info header is to be used in places where
      the Authentication-Info header is used,





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   o  The "auth-scope" parameter is fixed to the hostname of the proxy,
      which means that it covers all requests processed by the specific
      proxy,

   o  The limitation for the paths contained in the "path" parameter of
      401-KEX-S1 messages is disregarded,

   o  The omission of the "path" parameter of 401-KEX-S1 messages means
      that the authentication realm will potentially cover all requests
      processed by the proxy,

   o  The scheme, hostname, and port of the proxy are used for host
      validation tokens, and

   o  Authentication extensions defined in [RFC8053] are not applicable.

15.  Methods to Extend This Protocol

   If a private extension to this protocol is implemented, it MUST use
   the extension-tokens defined in Section 3 to avoid conflicts with
   this protocol and other extensions.  (Standardized extensions, as
   well as extensions that are in the process of being standardized, MAY
   use either bare-tokens or extension-tokens.)

   Specifications defining authentication algorithms MAY use other
   representations for the parameters "kc1", "ks1", "vkc", and "vks";
   replace those parameter names; and/or add parameters to the messages
   containing those parameters in supplemental specifications, provided
   that syntactic and semantic requirements in Section 3 of this
   document, [RFC7230], and [RFC7235] are satisfied.  Any parameters
   starting with "kc", "ks", "vkc", or "vks" and followed by decimal
   natural numbers (e.g., kc2, ks0, vkc1, vks3) are reserved for this
   purpose.  If those specifications use names other than those
   mentioned above, it is RECOMMENDED that extension-tokens be used to
   avoid any parameter-name conflicts with future extensions to this
   protocol.

   Extension-tokens MAY be freely used for any non-standard, private,
   and/or experimental uses for those parameters provided that the
   domain part in the token is used in the manner defined in Section 3.











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16.  IANA Considerations

16.1.  Addition to HTTP Authentication Schemes Registry

   IANA has added the following entry to the "HTTP Authentication
   Schemes" registry:

   o  Authentication Scheme Name: Mutual

   o  Reference: RFC 8120

16.2.  Registry for Authentication Algorithms

   This document establishes the "HTTP Mutual Authentication Algorithms"
   registry.  The registry manages case-insensitive ASCII strings.  The
   strings MUST follow the extensive-token syntax defined in Section 3.

   When bare-tokens are used for the authentication-algorithm parameter,
   they MUST be allocated by IANA.  To acquire registered tokens, the
   usage of such tokens MUST be reviewed by a Designated Expert, as
   outlined in [RFC5226].

   Registrations for an authentication algorithm are required to include
   descriptions of the authentication algorithms.  Reviewers assigned by
   the IESG are advised to examine minimum security requirements and
   consistency of the key exchange algorithm descriptions.

   It is advised that new registrations provide the following
   information:

   o  Token: A token used in HTTP headers for identifying the algorithm.

   o  Description: A brief description of the algorithm.

   o  Specification: A reference for a specification defining the
      algorithm.

   [RFC8121] defines the initial contents of this registry.













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16.3.  Registry for Validation Methods

   This document establishes the "HTTP Mutual Authentication Host
   Validation Methods" registry.  The registry manages case-insensitive
   ASCII strings.  The strings MUST follow the extensive-token syntax
   defined in Section 3.

   When bare-tokens are used for the validation parameter, they MUST be
   allocated by IANA.  To acquire registered tokens, the usage of such
   tokens MUST be reviewed by a Designated Expert, as outlined in
   [RFC5226].

   Registrations for a validation method are required to include a
   description of the validation method.  Reviewers assigned by the IESG
   are advised to examine its use-case requirements and any security
   consequences related to its introduction.

   It is advised that new registrations provide the following
   information:

   o  Token: A token used in HTTP headers for identifying the method.

   o  Description: A brief description of the method.

   o  Specification: A reference for a specification defining the
      method.

   The initial contents of this registry are as follows:

   +----------------------+------------------------+----------------+
   | Token                | Description            | Reference      |
   +----------------------+------------------------+----------------+
   | host                 | Hostname verification  | RFC 8120,      |
   |                      | only                   | Section 7      |
   |                      |                        |                |
   | tls-server-end-point | TLS certificate-based  | RFC 8120,      |
   |                      |                        | Section 7      |
   |                      |                        |                |
   | tls-unique           | TLS unique key-based   | RFC 8120,      |
   |                      |                        | Section 7      |
   +----------------------+------------------------+----------------+










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17.  Security Considerations

17.1.  Security Properties

   o  The protocol is secure against passive eavesdropping and replay
      attacks.  However, the protocol relies on transport security
      (including DNS integrity) for data secrecy and integrity.
      HTTP/TLS SHOULD be used where transport security is not assured
      and/or data confidentiality is important.

   o  When used with HTTP/TLS, if TLS server certificates are reliably
      verified, the protocol provides true protection against active
      man-in-the-middle attacks.

   o  Even if the server certificate is not used or is unreliable, the
      protocol provides protection against active man-in-the-middle
      attacks for each HTTP request/response pair.  However, in such
      cases, JavaScript or similar scripts that are not authenticated by
      this authentication mechanism can affect mutually authenticated
      contents to circumvent the protection.  This is why this protocol
      stipulates that valid TLS server certificates MUST be shown from
      the server to the client (Section 7).

17.2.  Secrecy of Credentials

   The client-side password credential MUST always be kept secret and
   SHOULD NOT be used for any other (possibly insecure) authentication
   purposes.  Loss of control of the credential will directly affect the
   control of the corresponding server-side account.

   The use of a client-side credential with THIS authentication scheme
   is always safe, even if the connected server peer is not trustworthy
   (e.g., a phishing scenario).  However, if it is used with other
   authentication schemes (such as Web forms) and the recipient is
   rogue, the result will be obvious.

   It is also important that the server-side password credential (J) be
   kept secret.  If it is stolen and the client's choice of password is
   not strong, anyone who is aware of the server-side password
   credential can employ an offline dictionary attack to search for the
   client's password.  However, if the client has chosen a strong
   password so that an attacker cannot guess the client's password from
   dictionary candidates, the client is still well protected from any
   attacks.







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   The shared session secret (z) MUST be kept secret inside the
   server/client software; if it is lost and the session is still
   active, session hijacking will result.  After the session expires,
   the key is of no value to attackers.

17.3.  Denial-of-Service Attacks on Servers

   The protocol requires a server-side table of active sessions, which
   may become a critical point for server resource consumption.  For
   proper operation, the protocol requires that at least one key
   verification request be processed for each session identifier.  After
   that, servers MAY discard sessions internally at any time without
   causing any operational problems for clients.  Clients will then
   silently re-establish a new session.

   However, if a malicious client sends too many requests for key
   exchanges (req-KEX-C1 messages) only, resource starvation might
   occur.  In such critical situations, servers MAY discard any kind of
   existing sessions, regardless of their statuses.  One way to mitigate
   such attacks is that servers MAY set number and time limits for
   unverified, pending key exchange requests (in the "key exchanging"
   state).

   This is a common weakness of authentication protocols with almost any
   kind of negotiations or states, including the Digest authentication
   scheme and most cookie-based authentication implementations.
   However, regarding resource consumption, the situation for the
   Mutual authentication scheme is slightly better than that for Digest,
   because HTTP requests without any kind of authentication requests
   will not generate any kind of sessions.  Session identifiers are only
   generated after a client starts a key negotiation, so that simple
   clients such as Web crawlers will not accidentally consume
   server-side resources for session management.

17.3.1.  Online Active Password Attacks

   Although the protocol provides very strong protection against offline
   dictionary attacks from eavesdropped traffic, the protocol, by its
   nature, cannot prevent active password attacks in which an attacker
   sends so many authentication trial requests for every possible
   password.

   Possible countermeasures for preventing such attacks may be the
   rate-limiting of password authentication trials, statistics-based
   intrusion-detection measures, or similar protection schemes.  If the
   server operators assume that the passwords of users are not strong
   enough, it may be desirable to introduce such ad hoc countermeasures.




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17.4.  Communicating the Status of Mutual Authentication with Users

   This protocol is designed with two goals in mind.  The first goal is
   simply to provide a secure alternative to existing Basic and Digest
   authentication schemes.  The second goal is to provide users with a
   way to detect forged rogue servers imitating (e.g., via a phishing
   attack) a user's registered account on a server.

   For this protocol to effectively work as a countermeasure against
   such attacks, it is very important that end users of clients be
   notified of the result of mutual authentication performed by this
   protocol, especially the three states "AUTH-SUCCEED",
   "AUTH-REQUIRED", and "UNAUTHENTICATED" as defined in Section 10.  The
   design of secure user interfaces for HTTP interactive clients is out
   of scope for this document, but if possible, having some kind of UI
   indication for the three states above will be desirable from the
   standpoint of providing user security.

   Of course, in such cases, the user interfaces for requesting
   passwords for this authentication shall be protected against
   imitation (for example, by other insecure password input fields, such
   as forms).  If the passwords are known to malicious attackers outside
   of the protocol, the protocol cannot work as an effective security
   measure.

17.5.  Implementation Considerations

   o  To securely implement the protocol, the Authentication-Info
      headers in the 200-VFY-S messages MUST always be validated by the
      client.  If the validation fails, the client MUST NOT process any
      content sent with the message, including other headers and the
      body part.  Non-compliance with this requirement will allow
      phishing attacks.

   o  For HTTP/TLS communications, when a Web form is submitted from
      mutually authenticated pages via the "tls-server-end-point"
      validation method to a URI that is protected by the same realm
      (so indicated by the "path" parameter), if the server certificate
      has been changed since the pages were received, it is RECOMMENDED
      that the peer be revalidated using a req-KEX-C1 message with an
      "Expect: 100-continue" header.  The same applies when the page is
      received via the "tls-unique" validation method and when the TLS
      session has expired.

   o  For better protection against possible password database stealing,
      server-side storage of user passwords should contain the values
      encrypted by the one-way function J(pi) instead of the real
      passwords or those hashed by pi.



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   o  If TLS 1.2 [RFC5246] is used for underlying HTTP/TLS
      communications, follow the best practices specified in [RFC7525].

17.6.  Usage Considerations

   o  The usernames inputted by a user may be sent automatically to any
      servers sharing the same auth-scope.  This means that when a
      host-type auth-scope is used for authentication on an HTTPS site
      and an HTTP server on the same host requests the Mutual
      authentication scheme within the same realm, the client will send
      the username in clear text.  If usernames have to be kept secret
      (protected from eavesdroppers), the server must use the
      full-scheme-type "auth-scope" parameter and HTTPS.  Passwords, on
      the other hand, are not exposed to eavesdroppers, even in HTTP
      requests.

   o  If the server provides several ways to store server-side password
      secrets in the password database, it is desirable, for purposes of
      better security, to store the values encrypted by using the
      one-way function J(pi) instead of the real passwords or those
      hashed by pi.

18.  References

18.1.  Normative References

   [RFC2104]  Krawczyk, H., Bellare, M., and R. Canetti, "HMAC:
              Keyed-Hashing for Message Authentication", RFC 2104,
              DOI 10.17487/RFC2104, February 1997,
              <http://www.rfc-editor.org/info/rfc2104>.

   [RFC2119]  Bradner, S., "Key words for use in RFCs to Indicate
              Requirement Levels", BCP 14, RFC 2119,
              DOI 10.17487/RFC2119, March 1997,
              <http://www.rfc-editor.org/info/rfc2119>.

   [RFC3629]  Yergeau, F., "UTF-8, a transformation format of
              ISO 10646", STD 63, RFC 3629, DOI 10.17487/RFC3629,
              November 2003, <http://www.rfc-editor.org/info/rfc3629>.

   [RFC4648]  Josefsson, S., "The Base16, Base32, and Base64 Data
              Encodings", RFC 4648, DOI 10.17487/RFC4648, October 2006,
              <http://www.rfc-editor.org/info/rfc4648>.

   [RFC5234]  Crocker, D., Ed., and P. Overell, "Augmented BNF for
              Syntax Specifications: ABNF", STD 68, RFC 5234,
              DOI 10.17487/RFC5234, January 2008,
              <http://www.rfc-editor.org/info/rfc5234>.



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   [RFC5246]  Dierks, T. and E. Rescorla, "The Transport Layer Security
              (TLS) Protocol Version 1.2", RFC 5246,
              DOI 10.17487/RFC5246, August 2008,
              <http://www.rfc-editor.org/info/rfc5246>.

   [RFC5987]  Reschke, J., "Character Set and Language Encoding for
              Hypertext Transfer Protocol (HTTP) Header Field
              Parameters", RFC 5987, DOI 10.17487/RFC5987, August 2010,
              <http://www.rfc-editor.org/info/rfc5987>.

   [RFC7230]  Fielding, R., Ed., and J. Reschke, Ed., "Hypertext
              Transfer Protocol (HTTP/1.1): Message Syntax and Routing",
              RFC 7230, DOI 10.17487/RFC7230, June 2014,
              <http://www.rfc-editor.org/info/rfc7230>.

   [RFC7235]  Fielding, R., Ed., and J. Reschke, Ed., "Hypertext
              Transfer Protocol (HTTP/1.1): Authentication", RFC 7235,
              DOI 10.17487/RFC7235, June 2014,
              <http://www.rfc-editor.org/info/rfc7235>.

   [RFC7613]  Saint-Andre, P. and A. Melnikov, "Preparation,
              Enforcement, and Comparison of Internationalized Strings
              Representing Usernames and Passwords", RFC 7613,
              DOI 10.17487/RFC7613, August 2015,
              <http://www.rfc-editor.org/info/rfc7613>.

   [RFC7615]  Reschke, J., "HTTP Authentication-Info and
              Proxy-Authentication-Info Response Header Fields",
              RFC 7615, DOI 10.17487/RFC7615, September 2015,
              <http://www.rfc-editor.org/info/rfc7615>.

   [RFC8018]  Moriarty, K., Ed., Kaliski, B., and A. Rusch, "PKCS #5:
              Password-Based Cryptography Specification Version 2.1",
              RFC 8018, DOI 10.17487/RFC8018, January 2017,
              <http://www.rfc-editor.org/info/rfc8018>.

   [RFC8053]  Oiwa, Y., Watanabe, H., Takagi, H., Maeda, K., Hayashi,
              T., and Y. Ioku, "HTTP Authentication Extensions for
              Interactive Clients", RFC 8053, DOI 10.17487/RFC8053,
              January 2017, <http://www.rfc-editor.org/info/rfc8053>.

   [Unicode]  The Unicode Consortium, "The Unicode Standard",
              <http://www.unicode.org/versions/latest/>.








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18.2.  Informative References

   [ITU.X690.2015]
              International Telecommunication Union, "Information
              Technology - ASN.1 encoding rules: Specification of Basic
              Encoding Rules (BER), Canonical Encoding Rules (CER) and
              Distinguished Encoding Rules (DER)", ITU-T Recommendation
              X.690, ISO/IEC 8825-1, August 2015,
              <https://www.itu.int/rec/T-REC-X.690/>.

   [RFC1939]  Myers, J. and M. Rose, "Post Office Protocol - Version 3",
              STD 53, RFC 1939, DOI 10.17487/RFC1939, May 1996,
              <http://www.rfc-editor.org/info/rfc1939>.

   [RFC2818]  Rescorla, E., "HTTP Over TLS", RFC 2818,
              DOI 10.17487/RFC2818, May 2000,
              <http://www.rfc-editor.org/info/rfc2818>.

   [RFC5226]  Narten, T. and H. Alvestrand, "Guidelines for Writing an
              IANA Considerations Section in RFCs", BCP 26, RFC 5226,
              DOI 10.17487/RFC5226, May 2008,
              <http://www.rfc-editor.org/info/rfc5226>.

   [RFC5890]  Klensin, J., "Internationalized Domain Names for
              Applications (IDNA): Definitions and Document Framework",
              RFC 5890, DOI 10.17487/RFC5890, August 2010,
              <http://www.rfc-editor.org/info/rfc5890>.

   [RFC5929]  Altman, J., Williams, N., and L. Zhu, "Channel Bindings
              for TLS", RFC 5929, DOI 10.17487/RFC5929, July 2010,
              <http://www.rfc-editor.org/info/rfc5929>.

   [RFC6265]  Barth, A., "HTTP State Management Mechanism", RFC 6265,
              DOI 10.17487/RFC6265, April 2011,
              <http://www.rfc-editor.org/info/rfc6265>.

   [RFC6454]  Barth, A., "The Web Origin Concept", RFC 6454,
              DOI 10.17487/RFC6454, December 2011,
              <http://www.rfc-editor.org/info/rfc6454>.

   [RFC7231]  Fielding, R., Ed., and J. Reschke, Ed., "Hypertext
              Transfer Protocol (HTTP/1.1): Semantics and Content",
              RFC 7231, DOI 10.17487/RFC7231, June 2014,
              <http://www.rfc-editor.org/info/rfc7231>.







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   [RFC7486]  Farrell, S., Hoffman, P., and M. Thomas, "HTTP
              Origin-Bound Authentication (HOBA)", RFC 7486,
              DOI 10.17487/RFC7486, March 2015,
              <http://www.rfc-editor.org/info/rfc7486>.

   [RFC7525]  Sheffer, Y., Holz, R., and P. Saint-Andre,
              "Recommendations for Secure Use of Transport Layer
              Security (TLS) and Datagram Transport Layer Security
              (DTLS)", BCP 195, RFC 7525, DOI 10.17487/RFC7525,
              May 2015, <http://www.rfc-editor.org/info/rfc7525>.

   [RFC7616]  Shekh-Yusef, R., Ed., Ahrens, D., and S. Bremer, "HTTP
              Digest Access Authentication", RFC 7616,
              DOI 10.17487/RFC7616, September 2015,
              <http://www.rfc-editor.org/info/rfc7616>.

   [RFC7627]  Bhargavan, K., Ed., Delignat-Lavaud, A., Pironti, A.,
              Langley, A., and M. Ray, "Transport Layer Security (TLS)
              Session Hash and Extended Master Secret Extension",
              RFC 7627, DOI 10.17487/RFC7627, September 2015,
              <http://www.rfc-editor.org/info/rfc7627>.

   [RFC8121]  Oiwa, Y., Watanabe, H., Takagi, H., Maeda, K., Hayashi,
              T., and Y. Ioku, "Mutual Authentication Protocol for HTTP:
              Cryptographic Algorithms Based on the Key Agreement
              Mechanism 3 (KAM3)", RFC 8121, DOI 10.17487/RFC8121,
              April 2017, <http://www.rfc-editor.org/info/rfc8121>.
























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Authors' Addresses

   Yutaka Oiwa
   National Institute of Advanced Industrial Science and Technology
   Information Technology Research Institute
   Tsukuba Central 1
   1-1-1 Umezono
   Tsukuba-shi, Ibaraki
   Japan
   Email: y.oiwa@aist.go.jp

   Hajime Watanabe
   National Institute of Advanced Industrial Science and Technology
   Information Technology Research Institute
   Tsukuba Central 1
   1-1-1 Umezono
   Tsukuba-shi, Ibaraki
   Japan
   Email: h-watanabe@aist.go.jp

   Hiromitsu Takagi
   National Institute of Advanced Industrial Science and Technology
   Information Technology Research Institute
   Tsukuba Central 1
   1-1-1 Umezono
   Tsukuba-shi, Ibaraki
   Japan
   Email: takagi.hiromitsu@aist.go.jp

   Kaoru Maeda
   Individual Contributor
   Email: kaorumaeda.ml@gmail.com

   Tatsuya Hayashi
   Lepidum Co. Ltd.
   Village Sasazuka 3, Suite #602
   1-30-3 Sasazuka
   Shibuya-ku, Tokyo
   Japan
   Email: hayashi@lepidum.co.jp

   Yuichi Ioku
   Individual Contributor
   Email: mutual-work@ioku.org







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