One document matched: draft-sheffer-emu-eap-eke-03.xml


<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE rfc SYSTEM "rfc2629.dtd" []>
<rfc category="std" ipr="trust200811"
docName="draft-sheffer-emu-eap-eke-03">
  <?xml-stylesheet type='text/xsl' href='rfc2629.xslt' ?>
  <?rfc toc="yes" ?>
  <?rfc symrefs="yes" ?>
  <?rfc sortrefs="yes"?>
  <?rfc iprnotified="no" ?>
  <?rfc strict="yes" ?>
  <?rfc compact="yes" ?>
  <front>
    <title abbrev="The EAP-EKE Method">An EAP Authentication Method Based on the EKE Protocol</title>
    <author initials="Y." surname="Sheffer" fullname="Yaron Sheffer">
      <organization abbrev="Check Point">Check Point Software Technologies Ltd.</organization>
      <address>
        <postal>
          <street>5 Hasolelim St.</street>
          <city>Tel Aviv</city>
          <code>67897</code>
          <country>Israel</country>
        </postal>
        <email>yaronf@checkpoint.com</email>
      </address>
    </author>
    <author fullname="Glen Zorn" initials="G.Z." surname="Zorn">
      <organization>Network Zen</organization>
      <address>
        <postal>
          <street>1310 East Thomas Street</street>
          <street>#306</street>
          <city>Seattle</city>
          <region>Washington</region>
          <code>98102</code>
          <country>USA</country>
        </postal>
        <phone>+1 (206) 377-9035</phone>
        <email>gwz@net-zen.net</email>
      </address>
    </author>
    <author initials="H." surname="Tschofenig" fullname="Hannes Tschofenig">
      <organization>Nokia Siemens Networks</organization>
      <address>
    <postal>
     <street>Linnoitustie 6</street>
     <city>Espoo</city>
     <code>02600</code>
     <country>Finland</country>
    </postal>
    <phone>+358 (50) 4871445</phone>
    <email>Hannes.Tschofenig@gmx.net</email>
    <uri>http://www.tschofenig.priv.at</uri>
   </address>
    </author>
    <author initials="S." surname="Fluhrer" fullname="Scott Fluhrer">
      <organization abbrev="Cisco">Cisco Systems.</organization>
      <address>
        <postal>
          <street>1414 Massachusetts Ave.</street>
          <city>Boxborough, MA</city>
          <code>01719</code>
          <country>USA</country>
        </postal>
        <email>sfluhrer@cisco.com</email>
      </address>
    </author>
    <date year="2009"/>
    <abstract>
      <t>The Extensible Authentication Protocol (EAP) describes a framework that allows the use of
        multiple authentication mechanisms. This document defines an authentication mechanism for
        EAP called EAP-EKE, based on the Encrypted Key Exchange (EKE) protocol. This method provides
        mutual authentication through the use of a short, easy to remember password. Compared with other
        common authentication methods, EAP-EKE is not susceptible to dictionary attacks. Neither does
        it require the availability of public-key certificates.</t>
    </abstract>
  </front>
  <middle>
    <!-- ************************************************************************************ -->
    <section title="Introduction">
      <t>The predominant access method for the Internet today is that of a human using a username
        and password to authenticate to a computer enforcing access control. Proof of knowledge of
        the password authenticates the human to the computer.</t>
      <t>Typically, these passwords are not stored on a user's computer for security reasons and
        must be entered each time the human desires network access. Therefore, the passwords must be
        ones that can be repeatedly entered by a human with a low probability of error. They will
        likely not possess high entropy and it may be assumed that an adversary with access to a
        dictionary will have the ability to guess a user's password. It is therefore desirable to
        have a robust authentication method that is secure even when used with a weak password in
        the presence of a strong adversary.</t>
      <t>EAP-EKE is an EAP method <xref target="RFC3748"/> that addresses the problem of
        password-based authenticated key exchange, using a possibly weak password for authentication
        and to derive an authenticated and cryptographically strong shared secret. This problem was
        first described by Bellovin and Merritt in <xref target="BM92"/> and <xref target="BM93"/>.
        Subsequently, a number of other solution approaches have been proposed, for example <xref
          target="JAB96"/>, <xref target="LUC97"/>, <xref target="BMP00"/>, and others.</t>
      <t> This proposal is based on the original Encrypted Key Exchange (EKE) proposal, as described
        in <xref target="BM92"/>. Some of the variants of the original EKE have been attacked,
        see e.g. <xref target="PA97"/>,
        and improvements have been proposed.
        None of these subsequent improvements have been incorporated into the current protocol.
        However, we have used only the subset of <xref target="BM92"/> (namely the variant described
        in Section 3.1 of the paper) which has withstood the
        test of time and is believed secure as of this
        writing.</t>
    </section>
    <!-- ************************************************************************************ -->

    <section title="Terminology">
      <t>
      This document uses Encr(Ke, ...) to denote encrypted information, and Prot(Ke, Ki, ...) to denote
      encrypted and integrity protected information.
      </t>
      <t>The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT",
        "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in
          <xref target="RFC2119"/>.</t>
    </section>
    <!-- ************************************************************************************ -->
    <section title="Protocol" anchor="protocol">
      <section title="Protocol Overview">
        <t> EAP is a two-party protocol spoken between an EAP peer and an EAP server
        (also known as "authenticator"). An EAP method
          defines the specific authentication protocol being used by EAP. This memo defines a
          particular method and therefore defines the messages sent between the EAP server
          and the EAP peer for the purpose of authentication and key derivation. </t>
      </section>
      <section title="Message Flows">
        <t>EAP-EKE defines three message exchanges: an Identity exchange, a Commit exchange and a
          Confirm exchange. A successful authentication is shown in <xref target="message-flows"/>.</t>
        <t>The peer and server use the EAP-EKE Identity exchange to learn each other's identities
          and to agree upon a ciphersuite to use in the subsequent exchanges. In the Commit exchange
          the peer and server exchange information to generate a shared key and also to bind each
          other to a particular guess of the password. In the Confirm exchange the peer and server
          prove liveness and knowledge of the password by generating and verifying verification
          data.</t>
        <t>
          <figure anchor="message-flows" title="A Successful EAP-EKE Exchange">
            <artwork>
              <![CDATA[
           +--------+                                     +--------+
           |        |                  EAP-EKE-ID/Request |        |
           |  EAP   |<------------------------------------|  EAP   |
           |  peer  |                                     | server |
           |  (P)   | EAP-EKE-ID/Response                 |   (S)  |
           |        |------------------------------------>|        |
           |        |                                     |        |
           |        |              EAP-EKE-Commit/Request |        |
           |        |<------------------------------------|        |
           |        |                                     |        |
           |        | EAP-EKE-Commit/Response             |        |
           |        |------------------------------------>|        |
           |        |                                     |        |
           |        |             EAP-EKE-Confirm/Request |        |
           |        |<------------------------------------|        |
           |        |                                     |        |
           |        | EAP-EKE-Confirm/Response            |        |
           |        |------------------------------------>|        |
           |        |                                     |        |
           |        |          EAP-Success                |        |
           |        |<------------------------------------|        |
           +--------+                                     +--------+

]]>
            </artwork>
          </figure>
        </t>
        <t> Schematically, the original exchange as described in <xref target="BM92"/> (and with the
          roles reversed) is: <figure>
            <artwork>
              <![CDATA[
Server                              Peer
------                              ----

E(Password, Y_S)) ->

                      <- E(Password, Y_P), E(SharedSecret, Nonce_P)

E(SharedSecret, Nonce_S | Nonce_P) ->

                                        <- E(SharedSecret, Nonce_S)
]]>
            </artwork>
          </figure>
          Where:
          <list style="symbols">
          <t>Y_S and Y_P are the server's (and respectively, the peer's) ephemeral public key,
          i.e. g^x (mod p), g^y (mod p).</t>
          <t>Nonce_S, Nonce_P are random strings generated by the server and the peer as
          cryptographic challenges.</t>
          <t>SharedSecret is the secret created by the Diffie-Hellman algorithm,
          namely g^(x*y) (mod p).</t>
          </list>
          The current protocol extends the basic cryptographic protocol, and the regular
          successful exchange becomes: <figure>
            <artwork>
              <![CDATA[
   Message                   Server                       Peer
  ---------                 --------                     ------
ID/Request         ID_S, CryptoProposals ->

ID/Response                                 <- ID_P, CryptoSelection

Commit/Request     Encr(Password, Y_S)) ->

Commit/Response        <- Encr(Password, Y_P), Prot(Ke, Ki, Nonce_P)

Confirm/Request    Prot(Ke, Ki, Nonce_S | Nonce_P), Auth_S ->

Confirm/Response                    <- Prot(Ke, Ki, Nonce_S), Auth_P
]]>
            </artwork>
          </figure> As shown in the exchange above, the following information elements have been added to
          the original protocol: identity values for both protocol parties (ID_S, ID_P), negotiation of
          cryptographic protocols, and signature fields to protect the integrity of the negotiated
          parameters (Auth_S, Auth_P). In addition the shared secret is not used directly.
          Note that a few details have been omitted for clarity. </t>
      </section>
    </section>
    <!-- ************************************************************************************ -->
    <section title="Packet Formats">
      <section anchor="eap-eke-header-sec" title="EAP-EKE Header">
        <t>The EAP-EKE header consists of the standard EAP header (see Section 4 of <xref
            target="RFC3748"/>), followed an EAP-EKE exchange type. The header has the following
          structure:</t>
        <t>
          <figure anchor="eap-eke-header" title="EAP-EKE Header">
            <artwork>
              <![CDATA[
 0                   1                   2                   3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|     Code      |  Identifier   |             Length            |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|     Type      |   EKE-Exch    |              Data            ...
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
]]>
            </artwork>
          </figure>
        </t>
        <t> The Code, Identifier, Length, and Type fields are all part of the EAP header, and
          defined in <xref target="RFC3748"/>. The Type field in the EAP header MUST be the value
          allocated by IANA for EAP-EKE version 1. </t>
        <t> The EKE-Exch (EKE Exchange) field identifies the type of EAP-EKE payload encapsulated in the Data
          field. This document defines the following values for the EKE-Exch field: <list
            style="symbols">
            <t>0x00: Reserved</t>
            <t>0x01: EAP-EKE-ID exchange</t>
            <t>0x02: EAP-EKE-Commit exchange</t>
            <t>0x03: EAP-EKE-Confirm exchange</t>
            <t>0x04: EAP-EKE-Failure message</t>
          </list></t>
        <t>Further values of this EKE-Exch field are available via IANA registration. </t>
      </section>
      <section title="EAP-EKE Payloads">
        <t>EAP-EKE payloads all contain the EAP-EKE header and encoded information, which differs
          for the different exchanges.</t>
      </section>
      <section title="EAP-EKE-ID">
        <t>
          <figure anchor="eap-eke-id-payload" title="EAP-EKE-ID Payload">
            <artwork>
              <![CDATA[
  0                   1                   2                   3
  0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 | NumProposals  |   Reserved    |           Proposal           ...
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
...    Proposal                  |    IDType     |  Identity    ...
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

       ]]>
            </artwork>
          </figure>
        </t>
        <t>The EAP-EKE-ID payload contains the following fields:</t>
        <t>
          <list style="hanging">
            <t hangText="NumProposals:">
              <vspace blankLines="1"/>The NumProposals field contains the number of Proposal fields
              subsequently contained in the payload. In the EAP-EKE-ID/Request the NumProposals
              field MUST NOT be set to zero (0) and in the EAP-EKE-ID/Response message the NumProposals
              field MUST be set to one (1). The offered proposals in the Request are listed
              contiguously in priority order, most preferable first. The selected proposal in the
              Response MUST be fully identical with one of the offered proposals.<vspace
                blankLines="1"/></t>
            <t hangText="Proposal:"><vspace blankLines="1"/>Each proposal consists of four one-octet
              fields, in this order: <vspace blankLines="1"/>
              <list style="hanging">
                <t hangText="Group Description:"><vspace blankLines="1"/>This field's value is taken
                  from the IANA registry for Diffie-Hellman groups defined in <xref
                    target="iana-group"/>.<vspace blankLines="1"/></t>
                <t hangText="Encryption:"><vspace blankLines="1"/>This field's value is taken from
                  the IANA registry for encryption algorithms defined in <xref target="iana-enc"
                    />.<vspace blankLines="1"/></t>
                <t hangText="PRF:"><vspace blankLines="1"/>This field's value is taken from the IANA
                  registry for pseudo random functions defined in <xref target="iana-prf"/>.<vspace
                    blankLines="1"/></t>
                <t hangText="MAC:"><vspace blankLines="1"/>This field's value is taken from the IANA
                  registry for keyed message digest algorithms defined in <xref target="iana-mac"/>.
                  <vspace blankLines="1"/></t>
              </list></t>
            <t hangText="IDType:"><vspace blankLines="1"/>Denotes the Identity type. This is taken
              from the IANA registry defined in <xref target="iana"/>. The server and the peer MAY
              use different identity types.</t>
          </list>
        </t>
        <t>The meaning of the Identity field depends on the values of the Code
          and IDType fields. It is RECOMMENDED that the Identity field be printable.</t>
        <t>
          <list style="symbols">
            <t>EAP-EKE-ID/Request: server ID</t>
            <t>EAP-EKE-ID/Response: peer ID</t>
          </list>
        </t>
        <t>To allow for "channel binding", The server SHOULD assert its own identity
        (e.g. its host name).</t>
        <t>The length of the Identity field is computed from the Length field in the EAP header.</t>
      </section>
      <section title="EAP-EKE-Commit">
        <t>In this exchange both parties send their encrypted ephemeral public key, and the peer
          also includes a Challenge.
          In addition, a small amount of protected data can be included, which
          may be used for channel binding.</t>
        <t>
          <figure anchor="eap-eke-commit-payload" title="EAP-EKE-Commit Payload">
            <artwork>
              <![CDATA[
 0                   1                   2                   3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|         DHComponent                                           ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|          Commit_P                                             ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|          CBValue*                                             ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

       ]]>
            </artwork>
          </figure>
        </t>
        <t>
          <list style="hanging">
            <t hangText="DHComponent:">
              <vspace blankLines="1"/>This field contains the password-encrypted Diffie-Hellman
              public key, see <xref target="commit-request"/>.<vspace blankLines="1"/></t>
            <t hangText="Commit_P:">
              <vspace blankLines="1"/>This field only appears in the response, and contains the
              encrypted and integrity-protected challenge value sent by the peer.
              See <xref target="commit-response"/>.<vspace blankLines="1"/></t>
            <t hangText="CBValue:">
              <vspace blankLines="1"/>This structure MAY be included both in the request and in
              the response, and MAY be repeated multiple times, once per each value transmitted.
              See <xref target="channel-bindings"/>.</t>
          </list>
        </t>
      </section>
      <section title="EAP-EKE-Confirm">
        <t>In this exchange both parties complete the authentication by generating a shared
          temporary key, authenticating the entire protocol, and generating key material for the EAP
          consumer protocol.</t>
        <t>
          <figure anchor="eap-eke-confirm-payload" title="EAP-EKE-Confirm Payload">
            <artwork>
              <![CDATA[
 0                   1                   2                   3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|          Confirm_?                                            ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|          Auth_?                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

       ]]>
            </artwork>
          </figure>
        </t>
        <t>
          <list style="hanging">
            <t hangText="Confirm_S/Confirm_P:">
              <vspace blankLines="1"/>This field contains the encrypted and integrity-protected
              response to the other party's
              challenge, see <xref target="confirm-request"/> and <xref target="confirm-response"
                />.<vspace blankLines="1"/></t>
            <t hangText="Auth_S/Auth_P:">
              <vspace blankLines="1"/>This field signs the preceeding messages,
              including the Identity and the negotiated fields. This prevents various possible attacks, such as
              algorithm downgrade attacks. See <xref target="confirm-request"/> and <xref
                target="confirm-response"/>.</t>
          </list>
        </t>
      </section>

      <section anchor="eap-eke-failure" title="EAP-EKE-Failure">

        <t> The EAP-EKE-Failure message format is defined as follows: <figure
            title="EAP-EKE-Failure Payload">
            <artwork>
              <![CDATA[
 0                   1                   2                   3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                         Failure-Code                          |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
       ]]>
            </artwork>
          </figure>
        </t>

        <t>The following Failure-Code values are defined:</t>
        <texttable>
        <ttcol>Value</ttcol>
        <ttcol>Name</ttcol>
        <ttcol>Meaning</ttcol>
        <c>0x00000000</c><c>Reserved</c><c></c>
        <c>0x00000001</c><c>No Error</c><c>This code is used for failure acknowledgement, see below.</c>
        <c>0x00000002</c><c>Protocol Error</c><c>A failure to parse or understand a protocol message or one
        of its payloads.</c>
        <c>0x00000003</c><c>Password Not Found</c><c>The password for
        a particular user could not be located, making
          authentication impossible. For security reasons, implementations MAY choose to eliminate
          this error code and return "Authentication Failure" also in this case.</c>
        <c>0x00000004</c><c>Authentication Failure</c><c>Failure in the cryptographic
          computation most likely caused by an incorrect password, or an inappropriate identity type.</c>
        <c>0x00000005</c><c>Authorization Failure</c><c>
          While the password being used is correct, the user is not authorized to connect.</c>
        <c>0x00000006</c><c>No Proposal Chosen</c><c>The peer is unwilling to select any of the
          cryptographic proposals offered by the server.</c>
        </texttable>
        <t>Additional values of this field are available via IANA registration. </t>
          <t>
          When the peer encounters an error situation, it MUST respond with EAP-EKE-Failure.
          The server MUST send an EAP-Failure message to end the exchange.
          </t>
          <t>
          When the server encounters an error situation, it MUST respond with EAP-EKE-Failure.
          The peer MUST send back an EAP-EKE-Failure message containing a "No Error"
          failure code. Then the server MUST send an EAP-Failure message to end the exchange.
          </t>
      </section>

      <section anchor="protected-fields-sec" title="Protected Fields">
      <t>Several fields are encrypted and integrity-protected.
      They are denoted Prot(...).
      Their general structure is as follows:</t>
        <t>
          <figure anchor="protected-field" title="Protected Field Structure">
            <artwork>
              <![CDATA[
 0                   1                   2                   3
 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|         Initialization Vector (IV) (optional)                 |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                        Encrypted Data                         ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~                                                               ~
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
~               |            Random Padding                     |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
|                  Integrity Check Value (ICV)                  |
+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
       ]]>
            </artwork>
          </figure>
        </t>
        <t>The protected field is a concatenation of four octet strings:</t>
        <t>
        <list style="symbols">
        <t>An optional IV, required when the encryption algorithm/mode necessitates it,
        e.g. for CBC encryption. A randomly chosen value whose length is
      equal to the block length of the encryption algorithm.
      The sender SHOULD pick this
      value pseudo-randomly and independently for each protected field.</t>
        <t>The encrypted data.</t>
        <t>Random padding of the minimal length (possibly zero) required to complete
        the length of the encrypted
        data to the encryption algorithm's block size. This field is encrypted along with the
        preceding data.</t>
        <t>ICV, a cryptographic checksum of the
        encrypted data, including the padding.  The checksum is computed over the
        encrypted, rather than the plaintext, data.
        Its length is determined by the integrity algorithm negotiated.</t>
        </list>
        </t>
      </section>

      <section anchor="encrypted-fields-sec" title="Encrypted Fields">
      <t>
      Two fields are encrypted but not integrity protected. They are denoted Encr(...).
      Their format is identical to
      a protected field (<xref target="protected-fields-sec"/>),
      except that the Integrity Check Value is omitted.
      </t>
      </section>

    <section anchor="channel-bindings" title="Channel Binding Values">
      <t>
      This protocol allows higher level protocols that are using it to transmit opaque information
      between the peer and the server. This information is integrity protected but not encrypted,
      and may be used to ensure that protocol peers are identical at different protocol layers.
      EAP-EKE is not aware of the transmitted information. The information MUST NOT be used by
      the consumer protocol until it is verified in the EAP-EKE-Confirm exchange (specifically,
      it is signed by the Auth_S, Auth_P payloads).
      Consequently, it MUST NOT be relied upon in case an error occurs at the EAP-EKE level.
      </t>
      <t>Each Channel Binding Value is encoded using a simple TLV structure:</t>
        <t>
          <figure anchor="cb-payload" title="Channel Binding Value">
            <artwork>
              <![CDATA[
  0                   1                   2                   3
  0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 |          CBType               |           Length              |
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
 |          Value                                               ...
 +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
       ]]>
            </artwork>
          </figure>
        </t>
        <t>
          <list style="hanging">
            <t hangText="CBType:">
              <vspace blankLines="1"/>This is the Channel Binding Value's type. This document defines
              the value 0x0000 as reserved. Other values are left for IANA allocation.
              <vspace blankLines="1"/></t>
            <t hangText="Length:">
              <vspace blankLines="1"/>This field is the total length in octets of the
              structure, including the CBType and Length fields.</t>
          </list>
        </t>
        <t>This facility should be used with care, since EAP-EKE does not provide for
        message fragmentation. It SHOULD NOT be used to transmit data other than that
        required to positively identify the protocol peers.</t>
        </section>
    </section>
    <!-- ************************************************************************************ -->
    <section title="Protocol Sequence">
      <section anchor="commit-request" title="EAP-EKE-Commit/Request">
        <t>The server computes </t>
        <t>
          <list style="empty">
            <t>Y_S = g^x mod N,</t>
          </list>
        </t>
        <t>where 'x' is a randomly chosen number in the range 2 .. N-1. The randomly chosen number
          is the private key, and the calculated field is the corresponding public key.
          Each of the peers MUST use a
          fresh, random value for this field on each run of the protocol.</t>
          <t>Note: If Elliptic Curve Diffie-Hellman is used, the corresponding additive
          group operations are to be understood.</t>
        <t>The server transmits the encrypted field (<xref target="encrypted-fields-sec"/>)</t>
        <t>
          <list style="empty">
            <t>DHComponent_S = Encr(prf+(password, "EAP-EKE Password"), Y_S),</t>
          </list>
        </t>
        <t>where the literal string is encoded using ASCII with no zero terminator.
        See <xref target="gen-key-material"/> for the prf+ notation.
        When using block ciphers, it may be necessary to pad Y_S on the right, to fit
          the encryption algorithm's block size. In such cases, random padding MUST be used, and
          this randomness is critical to the security of the protocol. Randomness recommendations
          can be found in <xref target="RFC4086"/>. When decrypting this field, the real length of
          Y_S is determined according to the negotiated Diffie Hellman group.</t>
        <t>If the password needs to be stored on the server, it is RECOMMENDED to store the
          randomized password value, i.e. prf+(password, ...), as a password-equivalent, rather than
          the cleartext password.</t>
        <t>
          If the password is non-ASCII, it SHOULD be normalized by the sender before the EAP-EKE
          message is constructed. The normalization method is SASLprep, <xref target="RFC4013"/>.
          Note that the password is not null-terminated.
          </t>
      </section>
      <section anchor="commit-response" title="EAP-EKE-Commit/Response">
        <t>The peer computes</t>
        <t>
          <list style="empty">
            <t>Y_P = g^y mod N</t>
          </list>
        </t>
        <t>and sends</t>
        <t>
          <list style="empty">
            <t>DHComponent_P = Encr(prf+(password, "EAP-EKE Password"), Y_P)</t>
          </list>
        </t>
        <t>formatted as an encrypted field (<xref target="encrypted-fields-sec"/>).
        </t>
        <t>Both sides calculate </t>
        <t>
          <list style="empty">
            <t>SharedSecret = prf(0+, g^(x*y) mod N)</t>
          </list>
        </t>
        <t>where the first argument to "prf" is a string of zero octets whose length
        is the output size of the base hash algorithm,
        e.g. 20 octets for HMAC-SHA1; the result is of the same length.
        This extra
        application of the pseudo-random function is the "extraction step" of
        <xref target="I-D.krawczyk-hkdf"/>. Note that the peer needs to compute the SharedSecret value
        before sending out its response.
        </t>
        <t>
        The encryption key is computed: </t>
        <t>
          <list style="empty">
            <t>Ke = prf+(SharedSecret, "EAP-EKE Ke" | ID_S | ID_P)</t>
          </list>
        </t>
        <t>The integrity protection key is computed:</t>
        <t>
          <list style="empty">
            <t>Ki = prf+(SharedSecret, "EAP-EKE Ki" | ID_S | ID_P)</t>
          </list>
        </t>
        <t>And the peer generates </t>
        <t>
          <list style="empty">
            <t>Commit_P = Prot(Ke, Ki, Nonce_P),</t>
          </list>
        </t>
        <t>where Nonce_P is a randomly generated binary string. Nonce_P has length equal to the
          block size of the negotiated encryption algorithm for block ciphers,
          or 32 octets if this algorithm is a stream cipher.
          The peer sends this value as a protected field (<xref target="protected-fields-sec"/>),
          encrypted using Ke and signed using Ki with the negotiated MAC algorithm.</t>
      </section>
      <section anchor="confirm-request" title="EAP-EKE-Confirm/Request">
        <t>The server sends:</t>
        <t>
          <list style="empty">
            <t>Confirm_S = Prot(Ke, Ki, Nonce_P | Nonce_S),</t>
          </list>
        </t>
        <t>as a protected field, where Nonce_S is a randomly generated string, similar to Nonce_P.</t>
        <t>It computes: </t>
        <t>
          <list style="empty">
            <t>Ka = prf+(SharedSecret, "EAP-EKE Ka" | ID_S | ID_P | Nonce_P | Nonce_S)</t>
          </list>
        </t>
        <t>And sends:</t>
        <t>
          <list style="empty">
            <t>Auth_S = prf(Ka, "EAP-EKE server" | EAP-EKE-ID/Request | EAP-EKE-ID/Response |
              EAP-EKE-Commit/Request | EAP-EKE-Commit/Response).</t>
          </list>
        </t>
        <t>The messages are
          included in full, starting with the EAP header, and including any possible future
          extensions.</t>
      </section>
      <section anchor="confirm-response" title="EAP-EKE-Confirm/Response">
        <t>The peer computes Ka, and sends:</t>
        <t>
          <list style="empty">
            <t>Confirm_P = Prot(Ke, Ki, Nonce_S)</t>
          </list>
          </t>
          <t>as a protected field, and</t>
          <t>
          <list style="empty">
            <t>Auth_P = prf(Ka, "EAP-EKE peer" | EAP-EKE-ID/Request | EAP-EKE-ID/Response |
              EAP-EKE-Commit/Request | EAP-EKE-Commit/Response)</t>
          </list>
        </t>
      </section>
      <section title="MSK and EMSK">
        <t>Following the last message of the protocol, both sides compute and export the shared
          keys, each 512 bits in length:</t>
        <t>
          <list style="empty">
            <t>MSK = prf+(SharedSecret, "EAP-EKE MSK" | ID_S | ID_P | Nonce_P | Nonce_S)</t>
            <t>EMSK = prf+(SharedSecret, "EAP-EKE EMSK" | ID_S | ID_P | Nonce_P | Nonce_S)</t>
          </list>
        </t>
        <t>
               When the RADIUS attributes specified in <xref target="RFC2548"/> are used to
        transport keying material, then the first 32 bytes of the MSK
        correspond to MS-MPPE-RECV-KEY and the second 32 bytes to
        MS-MPPE-SEND-KEY.  In this case, only 64 bytes of keying material
        (the MSK) are used.
        </t>
      </section>
    </section>

    <!-- ************************************************************************************ -->
<section title="Cryptographic Details">
      <section anchor="gen-key-material" title="Generating Keying Material">
        <t>Keying material is derived as the output of the negotiated prf algorithm.
          Since the amount of keying material needed may be greater than the size of the output of
          the prf algorithm, we will use the prf iteratively. We denote by "prf+"
          the function that outputs a pseudo-random stream based on the inputs to a prf as
          follows (where | indicates concatenation):</t>
        <t>
          <list style="empty">
            <t>prf+ (K, S) = T1 | T2 | T3 | T4 | ...</t>
          </list>
        </t>
        <t> where: <list style="empty">
            <t>T1 = prf(K, S | 0x01)</t>
            <t>T2 = prf(K, T1 | S | 0x02)</t>
            <t>T3 = prf(K, T2 | S | 0x03)</t>
            <t>T4 = prf(K, T3 | S | 0x04)</t>
          </list>
        </t>
        <t> continuing as needed to compute all required keys. The keys are taken from the output
          string without regard to boundaries (e.g., if the required keys are a 256-bit Advanced
          Encryption Standard (AES) key and a 160-bit HMAC key, and the prf function generates 160
          bits, the AES key will come from T1 and the beginning of T2, while the HMAC key will come
          from the rest of T2 and the beginning of T3). </t>
        <t> The constant concatenated to the end of each string feeding the prf is a single octet.
          prf+ in this document is not defined beyond 255 times the size of the prf output. </t>
      </section>

    <section anchor="dh-groups" title="Diffie-Hellman Groups">
      <t>
Many of the commonly used Diffie Hellman groups are inappropriate for use in EKE.
Most of these groups use a generator which is not a primitive element of the group.
As a result, an attacker running a dictionary attack would be able to learn at least
1 bit of information for each decrypted password guess.
      </t>
      <t>
      Any MODP Diffie Hellman group defined for use in this protocol MUST have the following properties,
      to ensure that it does not leak a usable amount of information about the password:
      <list style="numbers">
      <t>The generator is a primitive element of the group.</t>
      <t>The most significant 64 bits of the prime number are 1.</t>
      <t>The group's order p is a "safe prime", i.e. (p-1)/2 is also prime.
      </t>
      </list>
      </t>
      <t>
      The last requirement is related to the strength of the Diffie Hellman algorithm,
      rather than the password encryption. It also makes it easy to verify that the
      generator is primitive.
      </t>
      <t>
      We have defined the following groups:
      <list style="symbols">
      <t>DHGROUP_EKE_14 is defined as: the prime number of Group 14 <xref target="RFC3526"/>,
      with the generator 11 (decimal).</t>
      <t>Additional groups may be defined by future versions of this document, or through IANA
      assignment.</t>
      </list>
      </t>
      </section>
      <section title="Mandatory Algorithms">
        <t>To facilitate interoperability, the following algorithms are mandatory to implement:</t>
        <t>
          <list style="symbols">
            <t>ENCR_AES128_CBC (encryption algorithm)</t>
            <t>PRF_HMAC_SHA1 (pseudo random function and keyed message digest)</t>
            <t>DHGROUP_EKE_14 (DH-group)</t>
          </list>
        </t>
      </section>
    </section>
    <!-- ************************************************************************************ -->
    <section title="IANA Considerations" anchor="iana">
      <t>IANA has allocated the EAP method type XXX, for "EAP-EKE Version 1".</t>

      <t>This document requests that IANA create the registries described in the following sub-sections.
        Values can be added or modified in these registries per
        Specification Required <xref target="RFC5226"/>. </t>

      <section toc="exclude" anchor="iana-enc" title="Encryption Algorithm Registry">
        <t>This section defines an IANA registry for encryption algorithms: <figure>
            <artwork>
              <![CDATA[
+-----------------+---------+----------------------------------+
| Name            | Value   | Definition                       |
+-----------------+---------+----------------------------------+
| Reserved        | 0       |                                  |
| ENCR_AES128_CBC | 1       | AES with a 128-bit key, CBC mode |
|                 | 2-127   | Available for allocation via IANA|
|                 | 128-255 | Reserved for private use         |
+-----------------+---------+----------------------------------+
                  ]]>
            </artwork>
          </figure>
        </t>
      </section>

      <section toc="exclude" anchor="iana-prf" title="Pseudo Random Function Registry">
        <t>This section defines an IANA registry for pseudo random function algorithms: <figure>
            <artwork>
              <![CDATA[
+-----------------+---------+-------------------------------------+
| Name            | Value   | Definition                          |
+-----------------+---------+-------------------------------------+
| Reserved        | 0       |                                     |
| PRF_HMAC_SHA1   | 1       | HMAC SHA-1, as defined in [RFC2104] |
| PRF_HMAC_SHA256 | 2       | HMAC SHA-256                        |
|                 | 3-127   | Available for allocation via IANA   |
|                 | 128-255 | Reserved for private use            |
+-----------------+---------+-------------------------------------+
                  ]]>
            </artwork>
          </figure>
        </t>
        <t>A pseudo-random function takes two parameters K and S, and must be defined for all lengths
        of K including zero.</t>
      </section>
      <section toc="exclude" anchor="iana-mac" title="Keyed Message Digest Registry">
        <t>This section defines an IANA registry for keyed message digest algorithms:
        <figure>
            <artwork>
              <![CDATA[
+-----------------+---------+-------------------------------------+
| Name            | Value   | Definition                          |
+-----------------+---------+-------------------------------------+
| Reserved        | 0       |                                     |
| PRF_HMAC_SHA1   | 1       | HMAC SHA-1, as defined in [RFC2104] |
| PRF_HMAC_SHA256 | 2       | HMAC SHA-256                        |
|                 | 3-127   | Available for allocation via IANA   |
|                 | 128-255 | Reserved for private use            |
+-----------------+---------+-------------------------------------+
                  ]]>
            </artwork>
          </figure>
        </t>
      </section>

      <section toc="exclude" anchor="iana-group" title="Diffie-Hellman Group Registry">
        <t>This section defines an IANA registry for Diffie-Hellman groups: <figure>
            <artwork>
              <![CDATA[
+----------------+---------+-------------------------------------------+
| Name           | Value   | Definition                                |
+----------------+---------+-------------------------------------------+
| Reserved       | 0       |                                           |
| DHGROUP_EKE_14 | 1       | 2048-bit MODP Group defined in this       |
|                |         | document                                  |
|                | 2-127   | Available for allocation via IANA         |
|                | 128-255 | Reserved for private use                  |
+----------------+---------+-------------------------------------------+
                  ]]>
            </artwork>
          </figure>
        </t>
      </section>
      <section toc="exclude" anchor="iana-identity" title="Identity Type Registry">
        <t>In addition, an identity type registry is defined: <figure>
            <artwork>
              <![CDATA[
   +-----------+---------+---------------------------------------------+
   | Name      | Value   | Definition                                  |
   +-----------+---------+---------------------------------------------+
   | Reserved  | 0       |                                             |
   | ID_OPAQUE | 1       | A printable UTF-8 string whose format is    |
   |           |         | undefined                                   |
   | ID_NAI    | 2       | A Network Access Identifier, as defined in  |
   |           |         | [RFC4282] (mandatory to implement)          |
   | ID_IPv4   | 3       | An IPv4 address, in binary format           |
   | ID_IPv6   | 4       | An IPv6 address, in binary format           |
   | ID_FQDN   | 5       | A fully qualified domain name (mandatory to |
   |           |         | implement)                                  |
   |           | 6-127   | Available for allocation via IANA           |
   |           | 128-255 | Reserved for private use                    |
   +-----------+---------+---------------------------------------------+
                  ]]>
            </artwork>
          </figure>
        </t>
      </section>


      <section toc="exclude" title="Exchange Registry">
        <t>This section defines an IANA registry for the EAP-EKE Exchange registry, an 8-bit long code.
        Initial values are defined in <xref target="eap-eke-header-sec"/>. All values up to 0x80 are
        available for allocation via IANA. The remaining values
        up to 0xff are available for private use.
        </t>
      </section>

      <section toc="exclude" title="Failure-Code Registry">
        <t>This section defines an IANA registry for the Failure-Code registry, a 32-bit long code.
        Initial values are defined in <xref target="eap-eke-failure"/>. All values up to 0xff000000 are
        available for allocation via IANA. The remaining values
        up to 0xffffffff are available for private use.
        </t>
      </section>

      <section toc="exclude" title="Channel Binding Type Registry">
        <t>This section defines an IANA registry for the Channel Binding Type registry,
        a 16-bit long code.
        The value 0x0000 has been defined as Reserved. All other values up to 0xff00 are
        available for allocation via IANA. The remaining values
        up to 0xffff are available for private use.
        </t>
      </section>

    </section>
    <!-- ************************************************************************************ -->
    <section title="Security Considerations" anchor="security">

      <t>Any protocol that claims to solve the problem of password-authenticated key exchange must
        be resistant to active, passive and dictionary attack and have the quality of forward
        secrecy. These characteristics are discussed further in the following paragraphs.</t>
      <t>
        <list style="hanging">
          <t hangText="Resistance to Passive Attack"> A passive attacker is one that merely relays
            messages back and forth between the peer and server, faithfully, and without
            modification. The contents of the messages are available for inspection, but that is
            all. To achieve resistance to passive attack, such an attacker must not be able to
            obtain any information about the password or anything about the resulting shared secret
            from watching repeated runs of the protocol. Even if a passive attacker is able to learn
            the password, she will not be able to determine any information about the resulting
            secret shared by the peer and server.</t>
          <t hangText="Resistance to Active Attack"> An active attacker is able to modify, add,
            delete, and replay messages sent between protocol participants. For this protocol to be
            resistant to active attack, the attacker must not be able to obtain any information
            about the password or the shared secret by using any of its capabilities. In addition,
            the attacker must not be able to fool a protocol participant into thinking that the
            protocol completed successfully. It is always possible for an active attacker to deny
            delivery of a message critical in completing the exchange. This is no different than
            dropping all messages and is not an attack against the protocol.</t>
          <t hangText="Resistance to Dictionary Attack"> For this protocol to be resistant to
            dictionary attack any advantage an adversary can gain must be directly related to the
            number of interactions she makes with an honest protocol participant and not through
            computation. The adversary will not be able to obtain any information about the password
            except whether a single guess from a single protocol run is correct or incorrect.</t>
          <t hangText="Forward Secrecy"> Compromise of the password must not provide any information
            about the secrets generated by earlier runs of the protocol.</t>
        </list>
      </t>

      <t>
        <xref target="RFC3748"/> requires that documents describing new EAP methods clearly
        articulate the security properties of the method. In addition, for use with wireless LANs,
          <xref target="RFC4017"/> mandates and recommends several of these. The claims are: <list
          style="numbers">
          <t>Mechanism: password.</t>
          <t>Claims: <list style="symbols">
              <t>Mutual authentication: the peer and server both authenticate each other by proving
                possession of a shared password. This is REQUIRED by <xref target="RFC4017"/>.</t>
              <t>Forward secrecy: compromise of the password does not reveal the secret keys (MSK
                and EMSK) from earlier runs of the protocol.</t>
              <t>Replay protection: an attacker is unable to replay messages from a previous
                exchange either to learn the password or a key derived by the exchange. Similarly
                the attacker is unable to induce either the peer or server to believe the exchange
                has successfully completed when it hasn't.</t>
              <t>Key derivation: a shared secret is derived by performing a group operation in a
                finite cyclic group (e.g. exponentiation) using secret data contributed by both the
                peer and server. An MSK and EMSK are derived from that shared secret. This is
                REQUIRED by <xref target="RFC4017"/>.</t>
              <t>Dictionary attack resistance: an attacker can only make one password guess per
                active attack, and the protocol is designed so that the attacker does not
                gain any confirmation of her guess by observing the decrypted Y_x value (see below).
                The advantage she can gain is through interaction not through
                computation. This is REQUIRED by <xref target="RFC4017"/>.</t>
              <t>Session independence: this protocol is resistant to active and passive attacks and
                does not enable compromise of subsequent or prior MSKs or EMSKs from either passive
                or active attacks.</t>
              <t>Denial of Service resistance: it is possible for an attacker to cause a server to
                allocate state and consume CPU. Such an attack is gated, though, by the requirement
                that the attacker first obtain connectivity through a lower-layer protocol (e.g.
                802.11 authentication followed by 802.11 association, or 802.3 "link-up") and
                respond to two EAP messages: the EAP-ID/Request and the EAP-EKE-ID/Request.</t>
              <t>Man-in-the-Middle Attack resistance: this exchange is resistant to active attack,
                which is a requirement for launching a man-in-the-middle attack. This is REQUIRED by
                  <xref target="RFC4017"/>.</t>
              <t>Shared state equivalence: upon completion of EAP-EKE the peer and server both agree
                on MSK, EMSK. The peer has authenticated the server based on the Server_ID and the
                server has authenticated the peer based on the Peer_ID. This is due to the fact that
                Peer_ID, Server_ID, and the generated shared secret are all combined to make the
                authentication element which must be shared between the peer and server for the
                exchange to complete. This is REQUIRED by <xref target="RFC4017"/>.</t>
              <t>Fragmentation: this protocol does not define a technique for fragmentation and
                reassembly.</t>
              <t>Resistance to "Denning-Sacco" attack: learning keys distributed from an earlier run
                of the protocol, such as the MSK or EMSK, will not help an adversary learn the
                password.</t>
            </list></t>
          <t>Key strength: the strength of the resulting key depends on the finite cyclic group
            chosen. Sufficient key strength is REQUIRED by <xref target="RFC4017"/>.</t>
          <t>Key hierarchy: MSKs and EMSKs are derived from the secret values generated during the
            protocol run, using a negotiated pseudo-random function.</t>
          <t>Vulnerabilities (note that none of these are REQUIRED by <xref target="RFC4017"/>):
              <list style="symbols">
              <t>Protected ciphersuite negotiation: the ciphersuite proposal made by the server is
                not protected from tampering by an active attacker. However if a proposal was
                modified by an active attacker it would result in a failure to confirm the message
                sent by the other party, since the proposal is bound by each side into its Confirm
                message, and the protocol would fail as a result. Note that this assumes that none
                of the proposed ciphersuites enables an attacker to perform real-time cryptanalysis.</t>
              <t>Confidentiality: none of the messages sent in this protocol are encrypted.</t>
              <t>Integrity protection: all messages in this protocol are integrity protected.</t>
              <t>Channel binding: this protocol enables the exchange of integrity-protected
                channel information that can be compared with values communicated via out-of-band
                mechanisms.</t>
              <t>Fast reconnect: this protocol does not provide a fast reconnect capability.</t>
              <t>Cryptographic binding: this protocol is not a tunneled EAP method and therefore has
                no cryptographic information to bind.</t>
              <t>Identity protection: the EAP-EKE-ID exchange is not protected. An attacker will see
                the server's identity in the EAP-EKE-ID/Request and see the peer's identity in
                EAP-EKE-ID/ Response. However see <xref target="id-protection"/>.</t>
            </list></t>
        </list></t>
      <!--
      <t>Here's a few, more to come:</t>
      <t>
        <list style="symbols">
          <t>No identity protection.</t>
          <t>The encrypted pieces are not authenticated, do they have to be?</t>
          <t>Password salt, to be sent by server.</t>
          <t>Denial-of-service resistance, e.g. an anti clogging token.</t>
          <t>Binding of EAP-EKE identity with EAP identity.</t>
        </list>
      </t>

      -->
    <section title="Cryptographic Analysis">
    <t>
    When analyzing the Commit exchange, it should be noted that the base security assumptions are
    different from "normal" cryptology.  Normally, we assume that the key has strong
    security properties, and that the data may have little.  Here, we assume that the key has
    weak security properties (the attacker may have a list of possible keys), and hence we need
    to ensure that the data has strong properties (indistinguishable from random).
    This difference may mean that conventional wisdom in cryptology might not apply in this case. This
    also imposes severe constraints on the protocol, e.g. the mandatory use of random padding, and
    the need to define specific finite groups.
    </t>
    </section>
    <section title="Diffie Hellman Group Considerations">
    <t>
    It is fundamental to the dictionary attack resistance that the Diffie Hellman
    public values Y_S and Y_P are indistinguishable from a random string.
    If this condition is not met, then a passive attacker can do trial-decryption of
    the encrypted DHComponent_P, DHComponent_S values based on a password guess,
    and if they decrypt to a value which in not a valid public value,
    they know that the password guess was incorrect.
    </t>
    <t>
For MODP groups, <xref target="dh-groups"/> gives conditions on the group to make sure that
this criterion is met.  For other groups (for example, Elliptic Curve groups),
some other means of ensuring this must be employed.  The standard way of expressing
Elliptic Curve public values does not meet this criterion, as a valid Elliptic Curve X
coordinate can be distinguished from a random string with probability approximately 0.5.
    </t>
    <t>
    A future version of this document might introduce a group representation, and/or
    a slight modification of the password encryption scheme, so that Elliptic Curve groups
    can be accommodated. <xref target="BR02"/> presents several alternative solutions for this problem.
    </t>
    </section>

    <section title="Resistance to Active Attacks">
    <t>
    An attacker, impersonating either the peer or the server, can always try to enumerate
    all possible passwords, for example by using a dictionary. To counter this likely attack vector,
    both peer and server MUST implement rate-limiting mechanisms.
    </t>
    </section>

    <section anchor="id-protection" title="Identity Protection, Anonymity and Pseudonymity">
    <t>
    By default, the EAP-EKE-ID exchange is unprotected, and an eavesdropper can observe
    both parties' identities. However the parties may prefer to use a temporary identity
    at this stage in order to hide the true identity from the attacker. A similar technique
    is widely used when authenticating GSM subscribers. Note that in this respect
    EAP-EKE differs from tunneled methods, which typically provide unconditional
    identity protection to one of the peers by encrypting the identity exchange (but reveal information
    in the other peer's certicifate).
    </t>
    </section>

    </section>
    <!-- ************************************************************************************ -->
    <section title="Acknowledgements">
      <t>Much of this document was unashamedly picked from <xref target="I-D.harkins-emu-eap-pwd"/>
        and <xref target="I-D.ietf-pppext-eap-srp-03"/>, and we would like to acknowledge the
        authors of these documents: Dan Harkins, Glen Zorn, James Carlson, Bernard Aboba and Henry
        Haverinen.
        We would like to thank David Jacobson and Steve Bellovin for their useful comments.
        Lidar Herooty and Idan Ofrat implemented this protocol and helped
        us improve it by asking the right questions, and we would like to thank them both.
        </t>
    </section>
  </middle>
  <back>
    <references title="Normative References">
    <?rfc include="reference.RFC.2104.xml"?>
    <?rfc include="reference.RFC.2119.xml"?>
    <?rfc include="reference.RFC.2548.xml"?>
    <?rfc include="reference.RFC.3526.xml"?>
    <?rfc include="reference.RFC.3748.xml"?>
    <?rfc include="reference.RFC.4013.xml"?>
    <?rfc include="reference.RFC.4282.xml"?>
    </references>
    <references title="Informative References">
    <?rfc include="reference.RFC.4017.xml"?>
    <?rfc include="reference.RFC.4086.xml"?>
    <?rfc include="reference.RFC.5226.xml"?>
    <?rfc include="reference.I-D.harkins-emu-eap-pwd.xml"?>
    <?rfc include="reference.I-D.krawczyk-hkdf.xml"?>
      <reference
        anchor="I-D.ietf-pppext-eap-srp-03">
        <front>
          <title>EAP SRP-SHA1 Authentication Protocol</title>
          <author initials="J." surname="Carlson" fullname="James Carlson">
            <organization/>
          </author>
          <author initials="B." surname="Aboba" fullname="Bernard Aboba">
            <organization/>
          </author>
          <author initials="H." surname="Haverinen" fullname="Henry Haverinen">
            <organization/>
          </author>
          <date month="July" year="2001"/>
        </front>
        <seriesInfo name="Internet-Draft" value="draft-ietf-pppext-eap-srp-03"/>
      </reference>
      <reference anchor="BM92">
        <front>
          <title>Encrypted Key Exchange: Password-Based Protocols Secure Against Dictionary Attacks</title>
          <author initials="S." surname="Bellovin" fullname="Steven M. Bellovin">
            <organization/>
          </author>
          <author initials="M." surname="Merritt" fullname="Michael Merritt">
            <organization/>
          </author>
          <date month="May" year="1992"/>
        </front>
        <seriesInfo name="Proc. IEEE Symp. on Research in Security and Privacy" value=""/>
      </reference>
      <reference anchor="BM93">
        <front>
          <title>Augmented Encrypted Key Exchange: A Password-Based Protocol Secure against
            Dictionary Attacks and Password File Compromise</title>
          <author initials="S." surname="Bellovin" fullname="Steven M. Bellovin">
            <organization/>
          </author>
          <author initials="M." surname="Merritt" fullname="Michael Merritt">
            <organization/>
          </author>
          <date year="1993"/>
        </front>
        <seriesInfo name="Proc. 1st ACM Conference on Computer and Communication Security" value=""
        />
      </reference>
      <reference anchor="BMP00">
        <front>
          <title>Provably Secure Password Authenticated Key Exchange Using Diffie-Hellman</title>
          <author initials="V." surname="Boyko" fullname="Victor Boyko">
            <organization/>
          </author>
          <author initials="P." surname="MacKenzie" fullname="Philip MacKenzie">
            <organization/>
          </author>
          <author initials="S." surname="Patel" fullname="Sarvar Patel">
            <organization/>
          </author>
          <date year="2000"/>
        </front>
        <seriesInfo name="Advances in Cryptology, EUROCRYPT 2000"
          value=""/>
      </reference>
      <reference anchor="BR02">
        <front>
          <title>Ciphers with Arbitrary Finite Domains</title>
          <author initials="J." surname="Black" fullname="John Black">
            <organization/>
          </author>
          <author initials="P." surname="Rogaway" fullname="Phillip Rogaway">
            <organization/>
          </author>
          <date year="2002"/>
        </front>
        <seriesInfo name="Proc. of the RSA Cryptographer's Track (RSA CT '02), LNCS 2271"
          value=""/>
      </reference>
      <reference anchor="PA97">
        <front>
          <title>Number Theoretic Attacks On Secure Password Schemes</title>
          <author initials="S." surname="Patel" fullname="Sarvar Patel">
            <organization/>
          </author>
          <date year="1997"/>
        </front>
        <seriesInfo name="Proceedings of the 1997 IEEE Symposium on Security and Privacy"
          value=""/>
      </reference>
      <reference anchor="JAB96">
        <front>
          <title>Strong Password-Only Authenticated Key Exchange</title>
          <author initials="D." surname="Jablon" fullname="David P. Jablon">
            <organization/>
          </author>
          <date month="October" year="1996"/>
        </front>
        <seriesInfo name="ACM Computer Communications Review" value="Volume 1, Issue 5"/>
      </reference>
      <reference anchor="LUC97">
        <front>
          <title>Open Key Exchange: How to Defeat Dictionary Attacks Without Encrypting Public Keys</title>
          <author initials="S." surname="Lucks" fullname="Stefan Lucks">
            <organization/>
          </author>
          <date year="1997"/>
        </front>
        <seriesInfo name="Proc. of the Security Protocols Workshop" value="LNCS 1361"/>
      </reference></references>
    <section title="Change Log">
    <t>Note to RFC Editor: please remove this section before publication.</t>
      <section title="-03">
      <t>Added a provision for channel binding.</t>
      <t>Clarified the notation for protected vs. encrypted fields.</t>
      <t>Explained how pseudonymity can be provided.</t>
      <t>Implementations need not implement the "password not found" failure.</t>
      <t>Eliminated the Design Options appendix.</t>
      </section>
      <section title="-02">
      <t>Added text from EAP-SIM re: exporting MSK in RADIUS MPPE attributes.</t>
      <t>Eliminated protected failures: they are too rarely useful.</t>
      <t>Added the "extraction step" of HKDF.</t>
      <t>Removed the check for g^x != 0, since this can never happen for an honest peer,
      and otherwise requires an active password-guessing attacker,
      against which other protections are required. Added a related subsection
      about rate limiting.</t>
      <t>Added an Exchange Registry to the IANA Considerations.</t>
      <t>A general structure for protected (and merely encrypted) fields, which clarifies
      the protocol and also adds explicit integrity protection for the encrypted nonces,
      as recommended by <xref target="BM92"/>.</t>
      </section>
      <section title="-01">
      <t>Revised following comments raised on the CFRG mailing list. In particular, added security
      considerations and a new DH group definition, to resolve the vulnerability in case the group's
      generator is not a primitive element.</t>
      </section>
      <section title="-00">
        <t>Initial version.</t>
      </section>
    </section>
  </back>
</rfc>

PAFTECH AB 2003-20262026-04-24 04:05:18