path: root/doc/rfc/rfc8696.txt

Internet Engineering Task Force (IETF)                        R. Housley
Request for Comments: 8696                                Vigil Security
Category: Standards Track                                  December 2019
ISSN: 2070-1721


  Using Pre-Shared Key (PSK) in the Cryptographic Message Syntax (CMS)

Abstract

   The invention of a large-scale quantum computer would pose a serious
   challenge for the cryptographic algorithms that are widely deployed
   today.  The Cryptographic Message Syntax (CMS) supports key transport
   and key agreement algorithms that could be broken by the invention of
   such a quantum computer.  By storing communications that are
   protected with the CMS today, someone could decrypt them in the
   future when a large-scale quantum computer becomes available.  Once
   quantum-secure key management algorithms are available, the CMS will
   be extended to support the new algorithms if the existing syntax does
   not accommodate them.  This document describes a mechanism to protect
   today's communication from the future invention of a large-scale
   quantum computer by mixing the output of key transport and key
   agreement algorithms with a pre-shared key.

Status of This Memo

   This is an Internet Standards Track document.

   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).  Further information on
   Internet Standards is available in 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
   https://www.rfc-editor.org/info/rfc8696.

Copyright Notice

   Copyright (c) 2019 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
   (https://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
     1.1.  Terminology
     1.2.  ASN.1
     1.3.  Version Numbers
   2.  Overview
   3.  keyTransPSK
   4.  keyAgreePSK
   5.  Key Derivation
   6.  ASN.1 Module
   7.  Security Considerations
   8.  Privacy Considerations
   9.  IANA Considerations
   10. References
     10.1.  Normative References
     10.2.  Informative References
   Appendix A.  Key Transport with PSK Example
     A.1.  Originator Processing Example
     A.2.  ContentInfo and AuthEnvelopedData
     A.3.  Recipient Processing Example
   Appendix B.  Key Agreement with PSK Example
     B.1.  Originator Processing Example
     B.2.  ContentInfo and AuthEnvelopedData
     B.3.  Recipient Processing Example
   Acknowledgements
   Author's Address

1.  Introduction

   The invention of a large-scale quantum computer would pose a serious
   challenge for the cryptographic algorithms that are widely deployed
   today [S1994].  It is an open question whether or not it is feasible
   to build a large-scale quantum computer and, if so, when that might
   happen [NAS2019].  However, if such a quantum computer is invented,
   many of the cryptographic algorithms and the security protocols that
   use them would become vulnerable.

   The Cryptographic Message Syntax (CMS) [RFC5652][RFC5083] supports
   key transport and key agreement algorithms that could be broken by
   the invention of a large-scale quantum computer [C2PQ].  These
   algorithms include RSA [RFC8017], Diffie-Hellman [RFC2631], and
   Elliptic Curve Diffie-Hellman (ECDH) [RFC5753].  As a result, an
   adversary that stores CMS-protected communications today could
   decrypt those communications in the future when a large-scale quantum
   computer becomes available.

   Once quantum-secure key management algorithms are available, the CMS
   will be extended to support them if the existing syntax does not
   already accommodate the new algorithms.

   In the near term, this document describes a mechanism to protect
   today's communication from the future invention of a large-scale
   quantum computer by mixing the output of existing key transport and
   key agreement algorithms with a pre-shared key (PSK).  Secure
   communication can be achieved today by mixing a strong PSK with the
   output of an existing key transport algorithm, like RSA [RFC8017], or
   an existing key agreement algorithm, like Diffie-Hellman [RFC2631] or
   Elliptic Curve Diffie-Hellman (ECDH) [RFC5753].  A security solution
   that is believed to be quantum resistant can be achieved by using a
   PSK with sufficient entropy along with a quantum-resistant key
   derivation function (KDF), like an HMAC-based key derivation function
   (HKDF) [RFC5869], and a quantum-resistant encryption algorithm, like
   256-bit AES [AES].  In this way, today's CMS-protected communication
   can be resistant to an attacker with a large-scale quantum computer.

   In addition, there may be other reasons for including a strong PSK
   besides protection against the future invention of a large-scale
   quantum computer.  For example, there is always the possibility of a
   cryptoanalytic breakthrough on one or more classic public key
   algorithms, and there are longstanding concerns about undisclosed
   trapdoors in Diffie-Hellman parameters [FGHT2016].  Inclusion of a
   strong PSK as part of the overall key management offers additional
   protection against these concerns.

   Note that the CMS also supports key management techniques based on
   symmetric key-encryption keys and passwords, but they are not
   discussed in this document because they are already quantum
   resistant.  The symmetric key-encryption key technique is quantum
   resistant when used with an adequate key size.  The password
   technique is quantum resistant when used with a quantum-resistant key
   derivation function and a sufficiently large password.

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
   BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all
   capitals, as shown here.

1.2.  ASN.1

   CMS values are generated using ASN.1 [X680], which uses the Basic
   Encoding Rules (BER) and the Distinguished Encoding Rules (DER)
   [X690].

1.3.  Version Numbers

   The major data structures include a version number as the first item
   in the data structure.  The version number is intended to avoid ASN.1
   decode errors.  Some implementations do not check the version number
   prior to attempting a decode; then, if a decode error occurs, the
   version number is checked as part of the error-handling routine.
   This is a reasonable approach; it places error processing outside of
   the fast path.  This approach is also forgiving when an incorrect
   version number is used by the sender.

   Whenever the structure is updated, a higher version number will be
   assigned.  However, to ensure maximum interoperability, the higher
   version number is only used when the new syntax feature is employed.
   That is, the lowest version number that supports the generated syntax
   is used.

2.  Overview

   The CMS enveloped-data content type [RFC5652] and the CMS
   authenticated-enveloped-data content type [RFC5083] support both key
   transport and key agreement public key algorithms to establish the
   key used to encrypt the content.  No restrictions are imposed on the
   key transport or key agreement public key algorithms, which means
   that any key transport or key agreement algorithm can be used,
   including algorithms that are specified in the future.  In both
   cases, the sender randomly generates the content-encryption key, and
   then all recipients obtain that key.  All recipients use the sender-
   generated symmetric content-encryption key for decryption.

   This specification defines two quantum-resistant ways to establish a
   symmetric key-encryption key, which is used to encrypt the sender-
   generated content-encryption key.  In both cases, the PSK is used as
   one of the inputs to a key-derivation function to create a quantum-
   resistant key-encryption key.  The PSK MUST be distributed to the
   sender and all of the recipients by some out-of-band means that does
   not make it vulnerable to the future invention of a large-scale
   quantum computer, and an identifier MUST be assigned to the PSK.  It
   is best if each PSK has a unique identifier; however, if a recipient
   has more than one PSK with the same identifier, the recipient can try
   each of them in turn.  A PSK is expected to be used with many
   messages, with a lifetime of weeks or months.

   The content-encryption key or content-authenticated-encryption key is
   quantum resistant, and the sender establishes it using these steps:

   When using a key transport algorithm:

   1.  The content-encryption key or the content-authenticated-
       encryption key, called "CEK", is generated at random.

   2.  The key-derivation key, called "KDK", is generated at random.

   3.  For each recipient, the KDK is encrypted in the recipient's
       public key, then the KDF is used to mix the PSK and the KDK to
       produce the key-encryption key, called "KEK".

   4.  The KEK is used to encrypt the CEK.

   When using a key agreement algorithm:

   1.  The content-encryption key or the content-authenticated-
       encryption key, called "CEK", is generated at random.

   2.  For each recipient, a pairwise key-encryption key, called "KEK1",
       is established using the recipient's public key and the sender's
       private key.  Note that KEK1 will be used as a key-derivation
       key.

   3.  For each recipient, the KDF is used to mix the PSK and the
       pairwise KEK1, and the result is called "KEK2".

   4.  For each recipient, the pairwise KEK2 is used to encrypt the CEK.

   As specified in Section 6.2.5 of [RFC5652], recipient information for
   additional key management techniques is represented in the
   OtherRecipientInfo type.  Two key management techniques are specified
   in this document, and they are each identified by a unique ASN.1
   object identifier.

   The first key management technique, called "keyTransPSK" (see
   Section 3), uses a key transport algorithm to transfer the key-
   derivation key from the sender to the recipient, and then the key-
   derivation key is mixed with the PSK using a KDF.  The output of the
   KDF is the key-encryption key, which is used for the encryption of
   the content-encryption key or content-authenticated-encryption key.

   The second key management technique, called "keyAgreePSK" (see
   Section 4), uses a key agreement algorithm to establish a pairwise
   key-encryption key.  This pairwise key-encryption key is then mixed
   with the PSK using a KDF to produce a second pairwise key-encryption
   key, which is then used to encrypt the content-encryption key or
   content-authenticated-encryption key.

3.  keyTransPSK

   Per-recipient information using keyTransPSK is represented in the
   KeyTransPSKRecipientInfo type, which is indicated by the id-ori-
   keyTransPSK object identifier.  Each instance of
   KeyTransPSKRecipientInfo establishes the content-encryption key or
   content-authenticated-encryption key for one or more recipients that
   have access to the same PSK.

   The id-ori-keyTransPSK object identifier is:

      id-ori OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840)
        rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) 13 }

      id-ori-keyTransPSK OBJECT IDENTIFIER ::= { id-ori 1 }

   The KeyTransPSKRecipientInfo type is:

      KeyTransPSKRecipientInfo ::= SEQUENCE {
        version CMSVersion,  -- always set to 0
        pskid PreSharedKeyIdentifier,
        kdfAlgorithm KeyDerivationAlgorithmIdentifier,
        keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
        ktris KeyTransRecipientInfos,
        encryptedKey EncryptedKey }

      PreSharedKeyIdentifier ::= OCTET STRING

      KeyTransRecipientInfos ::= SEQUENCE OF KeyTransRecipientInfo

   The fields of the KeyTransPSKRecipientInfo type have the following
   meanings:

   *  version is the syntax version number.  The version MUST be 0.  The
      CMSVersion type is described in Section 10.2.5 of [RFC5652].

   *  pskid is the identifier of the PSK used by the sender.  The
      identifier is an OCTET STRING, and it need not be human readable.

   *  kdfAlgorithm identifies the key-derivation algorithm and any
      associated parameters used by the sender to mix the key-derivation
      key and the PSK to generate the key-encryption key.  The
      KeyDerivationAlgorithmIdentifier is described in Section 10.1.6 of
      [RFC5652].

   *  keyEncryptionAlgorithm identifies a key-encryption algorithm used
      to encrypt the content-encryption key.  The
      KeyEncryptionAlgorithmIdentifier is described in Section 10.1.3 of
      [RFC5652].

   *  ktris contains one KeyTransRecipientInfo type for each recipient;
      it uses a key transport algorithm to establish the key-derivation
      key.  That is, the encryptedKey field of KeyTransRecipientInfo
      contains the key-derivation key instead of the content-encryption
      key.  KeyTransRecipientInfo is described in Section 6.2.1 of
      [RFC5652].

   *  encryptedKey is the result of encrypting the content-encryption
      key or the content-authenticated-encryption key with the key-
      encryption key.  EncryptedKey is an OCTET STRING.

4.  keyAgreePSK

   Per-recipient information using keyAgreePSK is represented in the
   KeyAgreePSKRecipientInfo type, which is indicated by the id-ori-
   keyAgreePSK object identifier.  Each instance of
   KeyAgreePSKRecipientInfo establishes the content-encryption key or
   content-authenticated-encryption key for one or more recipients that
   have access to the same PSK.

   The id-ori-keyAgreePSK object identifier is:

      id-ori-keyAgreePSK OBJECT IDENTIFIER ::= { id-ori 2 }
   The KeyAgreePSKRecipientInfo type is:

      KeyAgreePSKRecipientInfo ::= SEQUENCE {
        version CMSVersion,  -- always set to 0
        pskid PreSharedKeyIdentifier,
        originator [0] EXPLICIT OriginatorIdentifierOrKey,
        ukm [1] EXPLICIT UserKeyingMaterial OPTIONAL,
        kdfAlgorithm KeyDerivationAlgorithmIdentifier,
        keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
        recipientEncryptedKeys RecipientEncryptedKeys }

   The fields of the KeyAgreePSKRecipientInfo type have the following
   meanings:

   *  version is the syntax version number.  The version MUST be 0.  The
      CMSVersion type is described in Section 10.2.5 of [RFC5652].

   *  pskid is the identifier of the PSK used by the sender.  The
      identifier is an OCTET STRING, and it need not be human readable.

   *  originator is a CHOICE with three alternatives specifying the
      sender's key agreement public key.  Implementations MUST support
      all three alternatives for specifying the sender's public key.
      The sender uses their own private key and the recipient's public
      key to generate a pairwise key-encryption key.  A KDF is used to
      mix the PSK and the pairwise key-encryption key to produce a
      second key-encryption key.  The OriginatorIdentifierOrKey type is
      described in Section 6.2.2 of [RFC5652].

   *  ukm is optional.  With some key agreement algorithms, the sender
      provides a User Keying Material (UKM) to ensure that a different
      key is generated each time the same two parties generate a
      pairwise key.  Implementations MUST accept a
      KeyAgreePSKRecipientInfo SEQUENCE that includes a ukm field.
      Implementations that do not support key agreement algorithms that
      make use of UKMs MUST gracefully handle the presence of UKMs.  The
      UserKeyingMaterial type is described in Section 10.2.6 of
      [RFC5652].

   *  kdfAlgorithm identifies the key-derivation algorithm and any
      associated parameters used by the sender to mix the pairwise key-
      encryption key and the PSK to produce a second key-encryption key
      of the same length as the first one.  The
      KeyDerivationAlgorithmIdentifier is described in Section 10.1.6 of
      [RFC5652].

   *  keyEncryptionAlgorithm identifies a key-encryption algorithm used
      to encrypt the content-encryption key or the content-
      authenticated-encryption key.  The
      KeyEncryptionAlgorithmIdentifier type is described in
      Section 10.1.3 of [RFC5652].

   *  recipientEncryptedKeys includes a recipient identifier and
      encrypted key for one or more recipients.  The
      KeyAgreeRecipientIdentifier is a CHOICE with two alternatives
      specifying the recipient's certificate, and thereby the
      recipient's public key, that was used by the sender to generate a
      pairwise key-encryption key.  The encryptedKey is the result of
      encrypting the content-encryption key or the content-
      authenticated-encryption key with the second pairwise key-
      encryption key.  EncryptedKey is an OCTET STRING.  The
      RecipientEncryptedKeys type is defined in Section 6.2.2 of
      [RFC5652].

5.  Key Derivation

   Many KDFs internally employ a one-way hash function.  When this is
   the case, the hash function that is used is indirectly indicated by
   the KeyDerivationAlgorithmIdentifier.  HKDF [RFC5869] is one example
   of a KDF that makes use of a hash function.

   Other KDFs internally employ an encryption algorithm.  When this is
   the case, the encryption that is used is indirectly indicated by the
   KeyDerivationAlgorithmIdentifier.  For example, AES-128-CMAC can be
   used for randomness extraction in a KDF as described in [NIST2018].

   A KDF has several input values.  This section describes the
   conventions for using the KDF to compute the key-encryption key for
   KeyTransPSKRecipientInfo and KeyAgreePSKRecipientInfo.  For
   simplicity, the terminology used in the HKDF specification [RFC5869]
   is used here.

   The KDF inputs are:

   *  IKM is the input keying material; it is the symmetric secret input
      to the KDF.  For KeyTransPSKRecipientInfo, it is the key-
      derivation key.  For KeyAgreePSKRecipientInfo, it is the pairwise
      key-encryption key produced by the key agreement algorithm.

   *  salt is an optional non-secret random value.  Many KDFs do not
      require a salt, and the KeyDerivationAlgorithmIdentifier
      assignments for HKDF [RFC8619] do not offer a parameter for a
      salt.  If a particular KDF requires a salt, then the salt value is
      provided as a parameter of the KeyDerivationAlgorithmIdentifier.

   *  L is the length of output keying material in octets; the value
      depends on the key-encryption algorithm that will be used.  The
      algorithm is identified by the KeyEncryptionAlgorithmIdentifier.
      In addition, the OBJECT IDENTIFIER portion of the
      KeyEncryptionAlgorithmIdentifier is included in the next input
      value, called "info".

   *  info is optional context and application specific information.
      The DER encoding of CMSORIforPSKOtherInfo is used as the info
      value, and the PSK is included in this structure.  Note that
      EXPLICIT tagging is used in the ASN.1 module that defines this
      structure.  For KeyTransPSKRecipientInfo, the ENUMERATED value of
      5 is used.  For KeyAgreePSKRecipientInfo, the ENUMERATED value of
      10 is used.  CMSORIforPSKOtherInfo is defined by the following
      ASN.1 structure:

         CMSORIforPSKOtherInfo ::= SEQUENCE {
           psk                    OCTET STRING,
           keyMgmtAlgType         ENUMERATED {
             keyTrans               (5),
             keyAgree               (10) },
           keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
           pskLength              INTEGER (1..MAX),
           kdkLength              INTEGER (1..MAX) }

   The fields of type CMSORIforPSKOtherInfo have the following meanings:

   *  psk is an OCTET STRING; it contains the PSK.

   *  keyMgmtAlgType is either set to 5 or 10.  For
      KeyTransPSKRecipientInfo, the ENUMERATED value of 5 is used.  For
      KeyAgreePSKRecipientInfo, the ENUMERATED value of 10 is used.

   *  keyEncryptionAlgorithm is the KeyEncryptionAlgorithmIdentifier,
      which identifies the algorithm and provides algorithm parameters,
      if any.

   *  pskLength is a positive integer; it contains the length of the PSK
      in octets.

   *  kdkLength is a positive integer; it contains the length of the
      key-derivation key in octets.  For KeyTransPSKRecipientInfo, the
      key-derivation key is generated by the sender.  For
      KeyAgreePSKRecipientInfo, the key-derivation key is the pairwise
      key-encryption key produced by the key agreement algorithm.

   The KDF output is:

   *  OKM is the output keying material, which is exactly L octets.  The
      OKM is the key-encryption key that is used to encrypt the content-
      encryption key or the content-authenticated-encryption key.

   An acceptable KDF MUST accept IKM, L, and info inputs; an acceptable
   KDF MAY also accept salt and other inputs.  All of these inputs MUST
   influence the output of the KDF.  If the KDF requires a salt or other
   inputs, then those inputs MUST be provided as parameters of the
   KeyDerivationAlgorithmIdentifier.

6.  ASN.1 Module

   This section contains the ASN.1 module for the two key management
   techniques defined in this document.  This module imports types from
   other ASN.1 modules that are defined in [RFC5912] and [RFC6268].

   <CODE BEGINS>
   CMSORIforPSK-2019
     { iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs-9(9)
       smime(16) modules(0) id-mod-cms-ori-psk-2019(69) }

   DEFINITIONS EXPLICIT TAGS ::=
   BEGIN

   -- EXPORTS All

   IMPORTS

   AlgorithmIdentifier{}, KEY-DERIVATION
     FROM AlgorithmInformation-2009  -- [RFC5912]
       { iso(1) identified-organization(3) dod(6) internet(1)
         security(5) mechanisms(5) pkix(7) id-mod(0)
         id-mod-algorithmInformation-02(58) }

   OTHER-RECIPIENT, OtherRecipientInfo, CMSVersion,
   KeyTransRecipientInfo, OriginatorIdentifierOrKey,
   UserKeyingMaterial, RecipientEncryptedKeys, EncryptedKey,
   KeyDerivationAlgorithmIdentifier, KeyEncryptionAlgorithmIdentifier
     FROM CryptographicMessageSyntax-2010  -- [RFC6268]
       { iso(1) member-body(2) us(840) rsadsi(113549)
         pkcs(1) pkcs-9(9) smime(16) modules(0)
         id-mod-cms-2009(58) } ;
   --
   -- OtherRecipientInfo Types (ori-)
   --

   SupportedOtherRecipInfo OTHER-RECIPIENT ::= {
     ori-keyTransPSK |
     ori-keyAgreePSK,
     ... }

   --
   -- Key Transport with Pre-Shared Key
   --

   ori-keyTransPSK OTHER-RECIPIENT ::= {
     KeyTransPSKRecipientInfo IDENTIFIED BY id-ori-keyTransPSK }

   id-ori OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840)
     rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) 13 }

   id-ori-keyTransPSK OBJECT IDENTIFIER ::= { id-ori 1 }

   KeyTransPSKRecipientInfo ::= SEQUENCE {
     version CMSVersion,  -- always set to 0
     pskid PreSharedKeyIdentifier,
     kdfAlgorithm KeyDerivationAlgorithmIdentifier,
     keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
     ktris KeyTransRecipientInfos,
     encryptedKey EncryptedKey }

   PreSharedKeyIdentifier ::= OCTET STRING

   KeyTransRecipientInfos ::= SEQUENCE OF KeyTransRecipientInfo

   --
   -- Key Agreement with Pre-Shared Key
   --

   ori-keyAgreePSK OTHER-RECIPIENT ::= {
     KeyAgreePSKRecipientInfo IDENTIFIED BY id-ori-keyAgreePSK }

   id-ori-keyAgreePSK OBJECT IDENTIFIER ::= { id-ori 2 }
   KeyAgreePSKRecipientInfo ::= SEQUENCE {
     version CMSVersion,  -- always set to 0
     pskid PreSharedKeyIdentifier,
     originator [0] EXPLICIT OriginatorIdentifierOrKey,
     ukm [1] EXPLICIT UserKeyingMaterial OPTIONAL,
     kdfAlgorithm KeyDerivationAlgorithmIdentifier,
     keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
     recipientEncryptedKeys RecipientEncryptedKeys }

   --
   -- Structure to provide 'info' input to the KDF,
   -- including the Pre-Shared Key
   --

   CMSORIforPSKOtherInfo ::= SEQUENCE {
     psk                    OCTET STRING,
     keyMgmtAlgType         ENUMERATED {
       keyTrans               (5),
       keyAgree               (10) },
     keyEncryptionAlgorithm KeyEncryptionAlgorithmIdentifier,
     pskLength              INTEGER (1..MAX),
     kdkLength              INTEGER (1..MAX) }

   END
   <CODE ENDS>

7.  Security Considerations

   The security considerations related to the CMS enveloped-data content
   type in [RFC5652] and the security considerations related to the CMS
   authenticated-enveloped-data content type in [RFC5083] continue to
   apply.

   Implementations of the key derivation function must compute the
   entire result, which, in this specification, is a key-encryption key,
   before outputting any portion of the result.  The resulting key-
   encryption key must be protected.  Compromise of the key-encryption
   key may result in the disclosure of all content-encryption keys or
   content-authenticated-encryption keys that were protected with that
   keying material; this, in turn, may result in the disclosure of the
   content.  Note that there are two key-encryption keys when a PSK with
   a key agreement algorithm is used, with similar consequences for the
   compromise of either one of these keys.

   Implementations must protect the PSK, key transport private key,
   agreement private key, and key-derivation key.  Compromise of the PSK
   will make the encrypted content vulnerable to the future invention of
   a large-scale quantum computer.  Compromise of the PSK and either the
   key transport private key or the agreement private key may result in
   the disclosure of all contents protected with that combination of
   keying material.  Compromise of the PSK and the key-derivation key
   may result in the disclosure of all contents protected with that
   combination of keying material.

   A large-scale quantum computer will essentially negate the security
   provided by the key transport algorithm or the key agreement
   algorithm, which means that the attacker with a large-scale quantum
   computer can discover the key-derivation key.  In addition, a large-
   scale quantum computer effectively cuts the security provided by a
   symmetric key algorithm in half.  Therefore, the PSK needs at least
   256 bits of entropy to provide 128 bits of security.  To match that
   same level of security, the key derivation function needs to be
   quantum resistant and produce a key-encryption key that is at least
   256 bits in length.  Similarly, the content-encryption key or
   content-authenticated-encryption key needs to be at least 256 bits in
   length.

   When using a PSK with a key transport or a key agreement algorithm, a
   key-encryption key is produced to encrypt the content-encryption key
   or content-authenticated-encryption key.  If the key-encryption
   algorithm is different than the algorithm used to protect the
   content, then the effective security is determined by the weaker of
   the two algorithms.  If, for example, content is encrypted with
   256-bit AES and the key is wrapped with 128-bit AES, then, at most,
   128 bits of protection are provided.  Implementers must ensure that
   the key-encryption algorithm is as strong or stronger than the
   content-encryption algorithm or content-authenticated-encryption
   algorithm.

   The selection of the key-derivation function imposes an upper bound
   on the strength of the resulting key-encryption key.  The strength of
   the selected key-derivation function should be at least as strong as
   the key-encryption algorithm that is selected.  NIST SP 800-56C
   Revision 1 [NIST2018] offers advice on the security strength of
   several popular key-derivation functions.

   Implementers should not mix quantum-resistant key management
   algorithms with their non-quantum-resistant counterparts.  For
   example, the same content should not be protected with
   KeyTransRecipientInfo and KeyTransPSKRecipientInfo.  Likewise, the
   same content should not be protected with KeyAgreeRecipientInfo and
   KeyAgreePSKRecipientInfo.  Doing so would make the content vulnerable
   to the future invention of a large-scale quantum computer.

   Implementers should not send the same content in different messages,
   one using a quantum-resistant key management algorithm and the other
   using a non-quantum-resistant key management algorithm, even if the
   content-encryption key is generated independently.  Doing so may
   allow an eavesdropper to correlate the messages, making the content
   vulnerable to the future invention of a large-scale quantum computer.

   This specification does not require that PSK be known only by the
   sender and recipients.  The PSK may be known to a group.  Since
   confidentiality depends on the key transport or key agreement
   algorithm, knowledge of the PSK by other parties does not inherently
   enable eavesdropping.  However, group members can record the traffic
   of other members and then decrypt it if they ever gain access to a
   large-scale quantum computer.  Also, when many parties know the PSK,
   there are many opportunities for theft of the PSK by an attacker.
   Once an attacker has the PSK, they can decrypt stored traffic if they
   ever gain access to a large-scale quantum computer in the same manner
   as a legitimate group member.

   Sound cryptographic key hygiene is to use a key for one and only one
   purpose.  Use of the recipient's public key for both the traditional
   CMS and the PSK-mixing variation specified in this document would be
   a violation of this principle; however, there is no known way for an
   attacker to take advantage of this situation.  That said, an
   application should enforce separation whenever possible.  For
   example, a purpose identifier for use in the X.509 extended key usage
   certificate extension [RFC5280] could be identified in the future to
   indicate that a public key should only be used in conjunction with or
   without a PSK.

   Implementations must randomly generate key-derivation keys as well as
   content-encryption keys or content-authenticated-encryption keys.
   Also, the generation of public/private key pairs for the key
   transport and key agreement algorithms rely on random numbers.  The
   use of inadequate pseudorandom number generators (PRNGs) to generate
   cryptographic keys can result in little or no security.  An attacker
   may find it much easier to reproduce the PRNG environment that
   produced the keys, searching the resulting small set of
   possibilities, rather than brute-force searching the whole key space.
   The generation of quality random numbers is difficult.  [RFC4086]
   offers important guidance in this area.

   Implementers should be aware that cryptographic algorithms become
   weaker with time.  As new cryptanalysis techniques are developed and
   computing performance improves, the work factor to break a particular
   cryptographic algorithm will be reduced.  Therefore, cryptographic
   algorithm implementations should be modular, allowing new algorithms
   to be readily inserted.  That is, implementers should be prepared for
   the set of supported algorithms to change over time.

   The security properties provided by the mechanisms specified in this
   document can be validated using formal methods.  A ProVerif proof in
   [H2019] shows that an attacker with a large-scale quantum computer
   that is capable of breaking the Diffie-Hellman key agreement
   algorithm cannot disrupt the delivery of the content-encryption key
   to the recipient and that the attacker cannot learn the content-
   encryption key from the protocol exchange.

8.  Privacy Considerations

   An observer can see which parties are using each PSK simply by
   watching the PSK key identifiers.  However, the addition of these key
   identifiers does not really weaken the privacy situation.  When key
   transport is used, the RecipientIdentifier is always present, and it
   clearly identifies each recipient to an observer.  When key agreement
   is used, either the IssuerAndSerialNumber or the
   RecipientKeyIdentifier is always present, and these clearly identify
   each recipient.

9.  IANA Considerations

   One object identifier for the ASN.1 module in Section 6 was assigned
   in the "SMI Security for S/MIME Module Identifier
   (1.2.840.113549.1.9.16.0)" registry [IANA]:

      id-mod-cms-ori-psk-2019 OBJECT IDENTIFIER ::= {
         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)
         pkcs-9(9) smime(16) mod(0) 69 }

   One new entry has been added in the "SMI Security for S/MIME Mail
   Security (1.2.840.113549.1.9.16)" registry [IANA]:

      id-ori OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840)
        rsadsi(113549) pkcs(1) pkcs-9(9) smime(16) 13 }

   A new registry titled "SMI Security for S/MIME Other Recipient Info
   Identifiers (1.2.840.113549.1.9.16.13)" has been created.

   Updates to the new registry are to be made according to the
   Specification Required policy as defined in [RFC8126].  The expert is
   expected to ensure that any new values identify additional
   RecipientInfo structures for use with the CMS.  Object identifiers
   for other purposes should not be assigned in this arc.

   Two assignments were made in the new "SMI Security for S/MIME Other
   Recipient Info Identifiers (1.2.840.113549.1.9.16.13)" registry
   [IANA] with references to this document:

      id-ori-keyTransPSK OBJECT IDENTIFIER ::= {
         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)
         pkcs-9(9) smime(16) id-ori(13) 1 }

      id-ori-keyAgreePSK OBJECT IDENTIFIER ::= {
         iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1)
         pkcs-9(9) smime(16) id-ori(13) 2 }

10.  References

10.1.  Normative References

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

   [RFC5083]  Housley, R., "Cryptographic Message Syntax (CMS)
              Authenticated-Enveloped-Data Content Type", RFC 5083,
              DOI 10.17487/RFC5083, November 2007,
              <https://www.rfc-editor.org/info/rfc5083>.

   [RFC5652]  Housley, R., "Cryptographic Message Syntax (CMS)", STD 70,
              RFC 5652, DOI 10.17487/RFC5652, September 2009,
              <https://www.rfc-editor.org/info/rfc5652>.

   [RFC5912]  Hoffman, P. and J. Schaad, "New ASN.1 Modules for the
              Public Key Infrastructure Using X.509 (PKIX)", RFC 5912,
              DOI 10.17487/RFC5912, June 2010,
              <https://www.rfc-editor.org/info/rfc5912>.

   [RFC6268]  Schaad, J. and S. Turner, "Additional New ASN.1 Modules
              for the Cryptographic Message Syntax (CMS) and the Public
              Key Infrastructure Using X.509 (PKIX)", RFC 6268,
              DOI 10.17487/RFC6268, July 2011,
              <https://www.rfc-editor.org/info/rfc6268>.

   [RFC8126]  Cotton, M., Leiba, B., and T. Narten, "Guidelines for
              Writing an IANA Considerations Section in RFCs", BCP 26,
              RFC 8126, DOI 10.17487/RFC8126, June 2017,
              <https://www.rfc-editor.org/info/rfc8126>.

   [RFC8174]  Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC
              2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174,
              May 2017, <https://www.rfc-editor.org/info/rfc8174>.

   [X680]     ITU-T, "Information technology -- Abstract Syntax Notation
              One (ASN.1): Specification of basic notation",
              ITU-T Recommendation X.680, August 2015.

   [X690]     ITU-T, "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, August 2015.

10.2.  Informative References

   [AES]      National Institute of Standards and Technology, "Advanced
              Encryption Standard (AES)", DOI 10.6028/NIST.FIPS.197,
              NIST PUB 197, November 2001,
              <https://doi.org/10.6028/NIST.FIPS.197>.

   [C2PQ]     Hoffman, P., "The Transition from Classical to Post-
              Quantum Cryptography", Work in Progress, Internet-Draft,
              draft-hoffman-c2pq-06, 25 November 2019,
              <https://tools.ietf.org/html/draft-hoffman-c2pq-06>.

   [FGHT2016] Fried, J., Gaudry, P., Heninger, N., and E. Thome, "A
              kilobit hidden SNFS discrete logarithm computation",
              Cryptology ePrint Archive Report 2016/961, October 2016,
              <https://eprint.iacr.org/2016/961.pdf>.

   [H2019]    Hammell, J., "Subject: [lamps] WG Last Call for draft-
              ietf-lamps-cms-mix-with-psk"", message to the IETF mailing
              list, May 2019, <https://mailarchive.ietf.org/arch/msg/
              spasm/_6d_4jp3sOprAnbU2fp_yp_-6-k>.

   [IANA]     IANA, "Structure of Management Information (SMI) Numbers
              (MIB Module Registrations)",
              <https://www.iana.org/assignments/smi-numbers>.

   [NAS2019]  National Academies of Sciences, Engineering, and Medicine,
              "Quantum Computing: Progress and Prospects",
              DOI 10.17226/25196, 2019,
              <https://doi.org/10.17226/25196>.

   [NIST2018] Barker, E., Chen, L., and R. Davis, "Recommendation for
              Key-Derivation Methods in Key-Establishment Schemes", NIST
              Special Publication 800-56C Revision 1, April 2018,
              <https://nvlpubs.nist.gov/nistpubs/SpecialPublications/
              NIST.SP.800-56Cr1.pdf>.

   [RFC2631]  Rescorla, E., "Diffie-Hellman Key Agreement Method",
              RFC 2631, DOI 10.17487/RFC2631, June 1999,
              <https://www.rfc-editor.org/info/rfc2631>.

   [RFC4086]  Eastlake 3rd, D., Schiller, J., and S. Crocker,
              "Randomness Requirements for Security", BCP 106, RFC 4086,
              DOI 10.17487/RFC4086, June 2005,
              <https://www.rfc-editor.org/info/rfc4086>.

   [RFC5280]  Cooper, D., Santesson, S., Farrell, S., Boeyen, S.,
              Housley, R., and W. Polk, "Internet X.509 Public Key
              Infrastructure Certificate and Certificate Revocation List
              (CRL) Profile", RFC 5280, DOI 10.17487/RFC5280, May 2008,
              <https://www.rfc-editor.org/info/rfc5280>.

   [RFC5753]  Turner, S. and D. Brown, "Use of Elliptic Curve
              Cryptography (ECC) Algorithms in Cryptographic Message
              Syntax (CMS)", RFC 5753, DOI 10.17487/RFC5753, January
              2010, <https://www.rfc-editor.org/info/rfc5753>.

   [RFC5869]  Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand
              Key Derivation Function (HKDF)", RFC 5869,
              DOI 10.17487/RFC5869, May 2010,
              <https://www.rfc-editor.org/info/rfc5869>.

   [RFC8017]  Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch,
              "PKCS #1: RSA Cryptography Specifications Version 2.2",
              RFC 8017, DOI 10.17487/RFC8017, November 2016,
              <https://www.rfc-editor.org/info/rfc8017>.

   [RFC8619]  Housley, R., "Algorithm Identifiers for the HMAC-based
              Extract-and-Expand Key Derivation Function (HKDF)",
              RFC 8619, DOI 10.17487/RFC8619, June 2019,
              <https://www.rfc-editor.org/info/rfc8619>.

   [S1994]    Shor, P., "Algorithms for Quantum Computation: Discrete
              Logarithms and Factoring", Proceedings of the 35th Annual
              Symposium on Foundations of Computer Science, pp.
              124-134", November 1994.

Appendix A.  Key Transport with PSK Example

   This example shows the establishment of an AES-256 content-encryption
   key using:

   *  a pre-shared key of 256 bits;

   *  key transport using RSA PKCS#1 v1.5 with a 3072-bit key;

   *  key derivation using HKDF with SHA-384; and

   *  key wrap using AES-256-KEYWRAP.

   In real-world use, the originator would encrypt the key-derivation
   key in their own RSA public key as well as the recipient's public
   key.  This is omitted in an attempt to simplify the example.

A.1.  Originator Processing Example

   The pre-shared key known to Alice and Bob, in hexadecimal, is:

      c244cdd11a0d1f39d9b61282770244fb0f6befb91ab7f96cb05213365cf95b15

   The identifier assigned to the pre-shared key is:

      ptf-kmc:13614122112

   Alice obtains Bob's public key:

      -----BEGIN PUBLIC KEY-----
      MIIBojANBgkqhkiG9w0BAQEFAAOCAY8AMIIBigKCAYEA3ocW14cxncPJ47fnEjBZ
      AyfC2lqapL3ET4jvV6C7gGeVrRQxWPDwl+cFYBBR2ej3j3/0ecDmu+XuVi2+s5JH
      Keeza+itfuhsz3yifgeEpeK8T+SusHhn20/NBLhYKbh3kiAcCgQ56dpDrDvDcLqq
      vS3jg/VO+OPnZbofoHOOevt8Q/roahJe1PlIyQ4udWB8zZezJ4mLLfbOA9YVaYXx
      2AHHZJevo3nmRnlgJXo6mE00E/6qkhjDHKSMdl2WG6mO9TCDZc9qY3cAJDU6Ir0v
      SH7qUl8/vN13y4UOFkn8hM4kmZ6bJqbZt5NbjHtY4uQ0VMW3RyESzhrO02mrp39a
      uLNnH3EXdXaV1tk75H3qC7zJaeGWMJyQfOE3YfEGRKn8fxubji716D8UecAxAzFy
      FL6m1JiOyV5acAiOpxN14qRYZdHnXOM9DqGIGpoeY1UuD4Mo05osOqOUpBJHA9fS
      whSZG7VNf+vgNWTLNYSYLI04KiMdulnvU6ds+QPz+KKtAgMBAAE=
      -----END PUBLIC KEY-----

   Bob's RSA public key has the following key identifier:

      9eeb67c9b95a74d44d2f16396680e801b5cba49c

   Alice randomly generates a content-encryption key:

      c8adc30f4a3e20ac420caa76a68f5787c02ab42afea20d19672fd963a5338e83

   Alice randomly generates a key-derivation key:

      df85af9e3cebffde6e9b9d24263db31114d0a8e33a0d50e05eb64578ccde81eb

   Alice encrypts the key-derivation key in Bob's public key:

      52693f12140c91dea2b44c0b7936f6be46de8a7bfab072bcb6ecfd56b06a9f65
      1bd4669d336aef7b449e5cd9b151893b7c7a3b8e364394840b0a5434cbf10e1b
      5670aefd074faf380665d204fb95153543346f36c2125dba6f4d23d2bc61434b
      5e36ff72b3eafe57c6cf7f74924c309f174b0b8753554b58ed33a8848d707a98
      c0c2b1ddcfd09e31fe213ca0a48dd157bd7d842e85cc76f77710d58efeaa0525
      c651bcd1410fb47534ecabaf5ab7daabed809d4b97220caf6d4929c5fb684f7b
      b8692e6e70332ff9b3f7c11d6cac51d4a35593173d48f80ca843b89789d625e7
      997ad7d674d25a2a7d165a5f39b3cb6358e937bdb02ac8a524ac93113cedd9ad
      c68263025c0bb0997d716e58d4d7b69739bf591f3e71c7678dc0df96f3df9e8a
      a5738f4f9ce21489f300e040891b20b2ab6d9051b3c2e68efa2fa9799a706878
      d5f462018c021d6669ed649f9acdf78476810198bfb8bd41ffedc585eafa957e
      ea1d3625e4bed376e7ae49718aee2f575c401a26a29941d8da5b7ee9aca36471

   Alice produces a 256-bit key-encryption key with HKDF using SHA-384;
   the secret value is the key-derivation key; and the 'info' is the
   DER-encoded CMSORIforPSKOtherInfo structure with the following
   values:

    0   56: SEQUENCE {
    2   32:   OCTET STRING
          :     C2 44 CD D1 1A 0D 1F 39 D9 B6 12 82 77 02 44 FB
          :     0F 6B EF B9 1A B7 F9 6C B0 52 13 36 5C F9 5B 15
   36    1:   ENUMERATED 5
   39   11:   SEQUENCE {
   41    9:     OBJECT IDENTIFIER aes256-wrap (2 16 840 1 101 3 4 1 45)
          :     }
   52    1:   INTEGER 32
   55    1:   INTEGER 32
          :   }

   The DER encoding of CMSORIforPSKOtherInfo produces 58 octets:

      30380420c244cdd11a0d1f39d9b61282770244fb0f6befb91ab7f96cb0521336
      5cf95b150a0105300b060960864801650304012d020120020120

   The HKDF output is 256 bits:

     f319e9cebb35f1c6a7a9709b8760b9d0d3e30e16c5b2b69347e9f00ca540a232

   Alice uses AES-KEY-WRAP to encrypt the 256-bit content-encryption key
   with the key-encryption key:

      ea0947250fa66cd525595e52a69aaade88efcf1b0f108abe291060391b1cdf59
      07f36b4067e45342

   Alice encrypts the content using AES-256-GCM with the content-
   encryption key.  The 12-octet nonce used is:

      cafebabefacedbaddecaf888

   The content plaintext is:

      48656c6c6f2c20776f726c6421

   The resulting ciphertext is:

      9af2d16f21547fcefed9b3ef2d

   The resulting 12-octet authentication tag is:

      a0e5925cc184e0172463c44c

A.2.  ContentInfo and AuthEnvelopedData

   Alice encodes the AuthEnvelopedData and the ContentInfo and sends the
   result to Bob.  The resulting structure is:

        0  650: SEQUENCE {
        4   11:  OBJECT IDENTIFIER
              :   authEnvelopedData (1 2 840 113549 1 9 16 1 23)
       17  633:  [0] {
       21  629:   SEQUENCE {
       25    1:    INTEGER 0
       28  551:    SET {
       32  547:     [4] {
       36   11:      OBJECT IDENTIFIER
              :       keyTransPSK (1 2 840 113549 1 9 16 13 1)
       49  530:      SEQUENCE {
       53    1:       INTEGER 0
       56   19:       OCTET STRING 'ptf-kmc:13614122112'
       77   13:       SEQUENCE {
       79   11:        OBJECT IDENTIFIER
              :         hkdf-with-sha384 (1 2 840 113549 1 9 16 3 29)
              :         }
       92   11:       SEQUENCE {
       94    9:        OBJECT IDENTIFIER
              :         aes256-wrap (2 16 840 1 101 3 4 1 45)
              :         }
      105  432:       SEQUENCE {
      109  428:        SEQUENCE {
      113    1:         INTEGER 2
      116   20:         [0]
              :          9E EB 67 C9 B9 5A 74 D4 4D 2F 16 39 66 80 E8 01
              :          B5 CB A4 9C
      138   13:         SEQUENCE {
      140    9:          OBJECT IDENTIFIER
              :           rsaEncryption (1 2 840 113549 1 1 1)
      151    0:          NULL
              :          }
      153  384:         OCTET STRING
              :          52 69 3F 12 14 0C 91 DE A2 B4 4C 0B 79 36 F6 BE
              :          46 DE 8A 7B FA B0 72 BC B6 EC FD 56 B0 6A 9F 65
              :          1B D4 66 9D 33 6A EF 7B 44 9E 5C D9 B1 51 89 3B
              :          7C 7A 3B 8E 36 43 94 84 0B 0A 54 34 CB F1 0E 1B
              :          56 70 AE FD 07 4F AF 38 06 65 D2 04 FB 95 15 35
              :          43 34 6F 36 C2 12 5D BA 6F 4D 23 D2 BC 61 43 4B
              :          5E 36 FF 72 B3 EA FE 57 C6 CF 7F 74 92 4C 30 9F
              :          17 4B 0B 87 53 55 4B 58 ED 33 A8 84 8D 70 7A 98
              :          C0 C2 B1 DD CF D0 9E 31 FE 21 3C A0 A4 8D D1 57
              :          BD 7D 84 2E 85 CC 76 F7 77 10 D5 8E FE AA 05 25
              :          C6 51 BC D1 41 0F B4 75 34 EC AB AF 5A B7 DA AB
              :          ED 80 9D 4B 97 22 0C AF 6D 49 29 C5 FB 68 4F 7B
              :          B8 69 2E 6E 70 33 2F F9 B3 F7 C1 1D 6C AC 51 D4
              :          A3 55 93 17 3D 48 F8 0C A8 43 B8 97 89 D6 25 E7
              :          99 7A D7 D6 74 D2 5A 2A 7D 16 5A 5F 39 B3 CB 63
              :          58 E9 37 BD B0 2A C8 A5 24 AC 93 11 3C ED D9 AD
              :          C6 82 63 02 5C 0B B0 99 7D 71 6E 58 D4 D7 B6 97
              :          39 BF 59 1F 3E 71 C7 67 8D C0 DF 96 F3 DF 9E 8A
              :          A5 73 8F 4F 9C E2 14 89 F3 00 E0 40 89 1B 20 B2
              :          AB 6D 90 51 B3 C2 E6 8E FA 2F A9 79 9A 70 68 78
              :          D5 F4 62 01 8C 02 1D 66 69 ED 64 9F 9A CD F7 84
              :          76 81 01 98 BF B8 BD 41 FF ED C5 85 EA FA 95 7E
              :          EA 1D 36 25 E4 BE D3 76 E7 AE 49 71 8A EE 2F 57
              :          5C 40 1A 26 A2 99 41 D8 DA 5B 7E E9 AC A3 64 71
              :          }
              :         }
      541   40:       OCTET STRING
              :        EA 09 47 25 0F A6 6C D5 25 59 5E 52 A6 9A AA DE
              :        88 EF CF 1B 0F 10 8A BE 29 10 60 39 1B 1C DF 59
              :        07 F3 6B 40 67 E4 53 42
              :        }
              :       }
              :      }
      583   55:    SEQUENCE {
      585    9:     OBJECT IDENTIFIER data (1 2 840 113549 1 7 1)
      596   27:     SEQUENCE {
      598    9:      OBJECT IDENTIFIER
              :       aes256-GCM (2 16 840 1 101 3 4 1 46)
      609   14:      SEQUENCE {
      611   12:       OCTET STRING
              :        CA FE BA BE FA CE DB AD DE CA F8 88
              :        }
              :       }
      625   13:     [0]
              :      9A F2 D1 6F 21 54 7F CE FE D9 B3 EF 2D
              :      }
      640   12:    OCTET STRING A0 E5 92 5C C1 84 E0 17 24 63 C4 4C
              :    }
              :   }
              :  }

A.3.  Recipient Processing Example

   Bob's private key is:

      -----BEGIN RSA PRIVATE KEY-----
      MIIG5AIBAAKCAYEA3ocW14cxncPJ47fnEjBZAyfC2lqapL3ET4jvV6C7gGeVrRQx
      WPDwl+cFYBBR2ej3j3/0ecDmu+XuVi2+s5JHKeeza+itfuhsz3yifgeEpeK8T+Su
      sHhn20/NBLhYKbh3kiAcCgQ56dpDrDvDcLqqvS3jg/VO+OPnZbofoHOOevt8Q/ro
      ahJe1PlIyQ4udWB8zZezJ4mLLfbOA9YVaYXx2AHHZJevo3nmRnlgJXo6mE00E/6q
      khjDHKSMdl2WG6mO9TCDZc9qY3cAJDU6Ir0vSH7qUl8/vN13y4UOFkn8hM4kmZ6b
      JqbZt5NbjHtY4uQ0VMW3RyESzhrO02mrp39auLNnH3EXdXaV1tk75H3qC7zJaeGW
      MJyQfOE3YfEGRKn8fxubji716D8UecAxAzFyFL6m1JiOyV5acAiOpxN14qRYZdHn
      XOM9DqGIGpoeY1UuD4Mo05osOqOUpBJHA9fSwhSZG7VNf+vgNWTLNYSYLI04KiMd
      ulnvU6ds+QPz+KKtAgMBAAECggGATFfkSkUjjJCjLvDk4aScpSx6+Rakf2hrdS3x
      jwqhyUfAXgTTeUQQBs1HVtHCgxQd+qlXYn3/qu8TeZVwG4NPztyi/Z5yB1wOGJEV
      3k8N/ytul6pJFFn6p48VM01bUdTrkMJbXERe6g/rr6dBQeeItCaOK7N5SIJH3Oqh
      9xYuB5tH4rquCdYLmt17Tx8CaVqU9qPY3vOdQEOwIjjMV8uQUR8rHSO9KkSj8AGs
      Lq9kcuPpvgJc2oqMRcNePS2WVh8xPFktRLLRazgLP8STHAtjT6SlJ2UzkUqfDHGK
      q/BoXxBDu6L1VDwdnIS5HXtL54ElcXWsoOyKF8/ilmhRUIUWRZFmlS1ok8IC5IgX
      UdL9rJVZFTRLyAwmcCEvRM1asbBrhyEyshSOuN5nHJi2WVJ+wSHijeKl1qeLlpMk
      HrdIYBq4Nz7/zXmiQphpAy+yQeanhP8O4O6C8e7RwKdpxe44su4Z8fEgA5yQx0u7
      8yR1EhGKydX5bhBLR5Cm1VM7rT2BAoHBAP/+e5gZLNf/ECtEBZjeiJ0VshszOoUq
      haUQPA+9Bx9pytsoKm5oQhB7QDaxAvrn8/FUW2aAkaXsaj9F+/q30AYSQtExai9J
      fdKKook3oimN8/yNRsKmhfjGOj8hd4+GjX0qoMSBCEVdT+bAjjry8wgQrqReuZnu
      oXU85dmb3jvv0uIczIKvTIeyjXE5afjQIJLmZFXsBm09BG87Ia5EFUKly96BOMJh
      /QWEzuYYXDqOFfzQtkAefXNFW21Kz4Hw2QKBwQDeiGh4lxCGTjECvG7fauMGlu+q
      DSdYyMHif6t6mx57eS16EjvOrlXKItYhIyzW8Kw0rf/CSB2j8ig1GkMLTOgrGIJ1
      0322o50FOr5oOmZPueeR4pOyAP0fgQ8DD1L3JBpY68/8MhYbsizVrR+Ar4jM0f96
      W2bF5Xj3h+fQTDMkx6VrCCQ6miRmBUzH+ZPs5n/lYOzAYrqiKOanaiHy4mjRvlsy
      mjZ6z5CG8sISqcLQ/k3Qli5pOY/v0rdBjgwAW/UCgcEAqGVYGjKdXCzuDvf9EpV4
      mpTWB6yIV2ckaPOn/tZi5BgsmEPwvZYZt0vMbu28Px7sSpkqUuBKbzJ4pcy8uC3I
      SuYiTAhMiHS4rxIBX3BYXSuDD2RD4vG1+XM0h6jVRHXHh0nOXdVfgnmigPGz3jVJ
      B8oph/jD8O2YCk4YCTDOXPEi8Rjusxzro+whvRR+kG0gsGGcKSVNCPj1fNISEte4
      gJId7O1mUAAzeDjn/VaS/PXQovEMolssPPKn9NocbKbpAoHBAJnFHJunl22W/lrr
      ppmPnIzjI30YVcYOA5vlqLKyGaAsnfYqP1WUNgfVhq2jRsrHx9cnHQI9Hu442PvI
      x+c5H30YFJ4ipE3eRRRmAUi4ghY5WgD+1hw8fqyUW7E7l5LbSbGEUVXtrkU5G64T
      UR91LEyMF8OPATdiV/KD4PWYkgaqRm3tVEuCVACDTQkqNsOOi3YPQcm270w6gxfQ
      SOEy/kdhCFexJFA8uZvmh6Cp2crczxyBilR/yCxqKOONqlFdOQKBwFbJk5eHPjJz
      AYueKMQESPGYCrwIqxgZGCxaqeVArHvKsEDx5whI6JWoFYVkFA8F0MyhukoEb/2x
      2qB5T88Dg3EbqjTiLg3qxrWJ2OxtUo8pBP2I2wbl2NOwzcbrlYhzEZ8bJyxZu5i1
      sYILC8PJ4Qzw6jS4Qpm4y1WHz8e/ElW6VyfmljZYA7f9WMntdfeQVqCVzNTvKn6f
      hg6GSpJTzp4LV3ougi9nQuWXZF2wInsXkLYpsiMbL6Fz34RwohJtYA==
      -----END RSA PRIVATE KEY-----

   Bob decrypts the key-derivation key with his RSA private key:

      df85af9e3cebffde6e9b9d24263db31114d0a8e33a0d50e05eb64578ccde81eb

   Bob produces a 256-bit key-encryption key with HKDF using SHA-384;
   the secret value is the key-derivation key; and the 'info' is the
   DER-encoded CMSORIforPSKOtherInfo structure with the same values as
   shown in Appendix A.1.  The HKDF output is 256 bits:

      f319e9cebb35f1c6a7a9709b8760b9d0d3e30e16c5b2b69347e9f00ca540a232

   Bob uses AES-KEY-WRAP to decrypt the content-encryption key with the
   key-encryption key; the content-encryption key is:

      c8adc30f4a3e20ac420caa76a68f5787c02ab42afea20d19672fd963a5338e83

   Bob decrypts the content using AES-256-GCM with the content-
   encryption key and checks the received authentication tag.  The
   12-octet nonce used is:

      cafebabefacedbaddecaf888

   The 12-octet authentication tag is:

      a0e5925cc184e0172463c44c

   The received ciphertext content is:

      9af2d16f21547fcefed9b3ef2d

   The resulting plaintext content is:

      48656c6c6f2c20776f726c6421

Appendix B.  Key Agreement with PSK Example

   This example shows the establishment of an AES-256 content-encryption
   key using:

   *  a pre-shared key of 256 bits;

   *  key agreement using ECDH on curve P-384 and X9.63 KDF with SHA-
      384;

   *  key derivation using HKDF with SHA-384; and

   *  key wrap using AES-256-KEYWRAP.

   In real-world use, the originator would treat themselves as an
   additional recipient by performing key agreement with their own
   static public key and the ephemeral private key generated for this
   message.  This is omitted in an attempt to simplify the example.

B.1.  Originator Processing Example

   The pre-shared key known to Alice and Bob, in hexadecimal, is:

      4aa53cbf500850dd583a5d9821605c6fa228fb5917f87c1c078660214e2d83e4

   The identifier assigned to the pre-shared key is:

      ptf-kmc:216840110121

   Alice randomly generates a content-encryption key:

      937b1219a64d57ad81c05cc86075e86017848c824d4e85800c731c5b7b091033

   Alice obtains Bob's static ECDH public key:

      -----BEGIN PUBLIC KEY-----
      MHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEScGPBO9nmUwGrgbGEoFY9HR/bCo0WyeY
      /dePQVrwZmwN2yMJmO2d1kWCvLTz8U7atinxyIRe9CV54yau1KWU/wbkhPDnzuSM
      YkcpxMGo32z3JetEloW5aFOja13vv/W5
      -----END PUBLIC KEY-----

   It has a key identifier of:

      e8218b98b8b7d86b5e9ebdc8aeb8c4ecdc05c529

   Alice generates an ephemeral ECDH key pair on the same curve:

      -----BEGIN EC PRIVATE KEY-----
      MIGkAgEBBDCMiWLG44ik+L8cYVvJrQdLcFA+PwlgRF+Wt1Ab25qUh8OB7OePWjxp
      /b8P6IOuI6GgBwYFK4EEACKhZANiAAQ5G0EmJk/2ks8sXY1kzbuG3Uu3ttWwQRXA
      LFDJICjvYfr+yTpOQVkchm88FAh9MEkw4NKctokKNgpsqXyrT3DtOg76oIYENpPb
      GE5lJdjPx9sBsZQdABwlsU0Zb7P/7i8=
      -----END EC PRIVATE KEY-----

   Alice computes a shared secret called "Z" using Bob's static ECDH
   public key and her ephemeral ECDH private key; Z is:

      3f015ed0ff4b99523a95157bbe77e9cc0ee52fcffeb7e41eac79d1c11b6cc556
      19cf8807e6d800c2de40240fe0e26adc

   Alice computes the pairwise key-encryption key, called "KEK1", from Z
   using the X9.63 KDF with the ECC-CMS-SharedInfo structure with the
   following values:

    0   21: SEQUENCE {
    2   11:   SEQUENCE {
    4    9:     OBJECT IDENTIFIER aes256-wrap (2 16 840 1 101 3 4 1 45)
          :     }
   15    6:   [2] {
   17    4:     OCTET STRING 00 00 00 20
          :     }
          :   }

   The DER encoding of ECC-CMS-SharedInfo produces 23 octets:

      3015300b060960864801650304012da206040400000020

   The X9.63 KDF output is the 256-bit KEK1:

      27dc25ddb0b425f7a968ceada80a8f73c6ccaab115baafcce4a22a45d6b8f3da

   Alice produces the 256-bit KEK2 with HKDF using SHA-384; the secret
   value is KEK1; and the 'info' is the DER-encoded
   CMSORIforPSKOtherInfo structure with the following values:

    0   56: SEQUENCE {
    2   32:   OCTET STRING
          :     4A A5 3C BF 50 08 50 DD 58 3A 5D 98 21 60 5C 6F
          :     A2 28 FB 59 17 F8 7C 1C 07 86 60 21 4E 2D 83 E4
   36    1:   ENUMERATED 10
   39   11:   SEQUENCE {
   41    9:     OBJECT IDENTIFIER aes256-wrap (2 16 840 1 101 3 4 1 45)
          :      }
   52    1:   INTEGER 32
   55    1:   INTEGER 32
          :   }

   The DER encoding of CMSORIforPSKOtherInfo produces 58 octets:

      303804204aa53cbf500850dd583a5d9821605c6fa228fb5917f87c1c07866021
      4e2d83e40a010a300b060960864801650304012d020120020120

   The HKDF output is the 256-bit KEK2:

      7de693ee30ae22b5f8f6cd026c2164103f4e1430f1ab135dc1fb98954f9830bb

   Alice uses AES-KEY-WRAP to encrypt the content-encryption key with
   the KEK2; the wrapped key is:

      229fe0b45e40003e7d8244ec1b7e7ffb2c8dca16c36f5737222553a71263a92b
      de08866a602d63f4

   Alice encrypts the content using AES-256-GCM with the content-
   encryption key.  The 12-octet nonce used is:

      dbaddecaf888cafebabeface

   The plaintext is:

      48656c6c6f2c20776f726c6421

   The resulting ciphertext is:

      fc6d6f823e3ed2d209d0c6ffcf

   The resulting 12-octet authentication tag is:

      550260c42e5b29719426c1ff

B.2.  ContentInfo and AuthEnvelopedData

   Alice encodes the AuthEnvelopedData and the ContentInfo and sends the
   result to Bob.  The resulting structure is:

        0  327: SEQUENCE {
        4   11:  OBJECT IDENTIFIER
              :   authEnvelopedData (1 2 840 113549 1 9 16 1 23)
       17  310:  [0] {
       21  306:   SEQUENCE {
       25    1:    INTEGER 0
       28  229:    SET {
       31  226:     [4] {
       34   11:      OBJECT IDENTIFIER
              :       keyAgreePSK (1 2 840 113549 1 9 16 13 2)
       47  210:      SEQUENCE {
       50    1:       INTEGER 0
       53   20:       OCTET STRING 'ptf-kmc:216840110121'
       75   85:       [0] {
       77   83:        [1] {
       79   19:         SEQUENCE {
       81    6:          OBJECT IDENTIFIER
              :           ecdhX963KDF-SHA256 (1 3 132 1 11 1)
       89    9:          OBJECT IDENTIFIER
              :           aes256-wrap (2 16 840 1 101 3 4 1 45)
              :           }
      100   60:         BIT STRING, encapsulates {
      103   57:          OCTET STRING
              :          1B 41 26 26 4F F6 92 CF 2C 5D 8D 64 CD BB 86 DD
              :          4B B7 B6 D5 B0 41 15 C0 2C 50 C9 20 28 EF 61 FA
              :          FE C9 3A 4E 41 59 1C 86 6F 3C 14 08 7D 30 49 30
              :          E0 D2 9C B6 89 0A 36 0A 6C
              :          }
              :         }
              :        }
      162   13:       SEQUENCE {
      164   11:        OBJECT IDENTIFIER
              :         hkdf-with-sha384 (1 2 840 113549 1 9 16 3 29)
              :         }
      177   11:       SEQUENCE {
      179    9:        OBJECT IDENTIFIER
              :         aes256-wrap (2 16 840 1 101 3 4 1 45)
              :         }
      190   68:       SEQUENCE {
      192   66:        SEQUENCE {
      194   22:         [0] {
      196   20:          OCTET STRING
              :          E8 21 8B 98 B8 B7 D8 6B 5E 9E BD C8 AE B8 C4 EC
              :          DC 05 C5 29
              :          }
      218   40:         OCTET STRING
              :         22 9F E0 B4 5E 40 00 3E 7D 82 44 EC 1B 7E 7F FB
              :         2C 8D CA 16 C3 6F 57 37 22 25 53 A7 12 63 A9 2B
              :         DE 08 86 6A 60 2D 63 F4
              :         }
              :        }
              :       }
              :      }
              :     }
      260   55:    SEQUENCE {
      262    9:     OBJECT IDENTIFIER data (1 2 840 113549 1 7 1)
      273   27:     SEQUENCE {
      275    9:      OBJECT IDENTIFIER
              :       aes256-GCM (2 16 840 1 101 3 4 1 46)
      286   14:      SEQUENCE {
      288   12:       OCTET STRING
              :        DB AD DE CA F8 88 CA FE BA BE FA CE
              :        }
              :       }
      302   13:     [0]
              :      FC 6D 6F 82 3E 3E D2 D2 09 D0 C6 FF CF
              :      }
      317   12:    OCTET STRING 55 02 60 C4 2E 5B 29 71 94 26 C1 FF
              :     }
              :    }
              :   }

B.3.  Recipient Processing Example

   Bob obtains Alice's ephemeral ECDH public key from the message:

      -----BEGIN PUBLIC KEY-----
      MHYwEAYHKoZIzj0CAQYFK4EEACIDYgAEORtBJiZP9pLPLF2NZM27ht1Lt7bVsEEV
      wCxQySAo72H6/sk6TkFZHIZvPBQIfTBJMODSnLaJCjYKbKl8q09w7ToO+qCGBDaT
      2xhOZSXYz8fbAbGUHQAcJbFNGW+z/+4v
      -----END PUBLIC KEY-----

   Bob's static ECDH private key is:

      -----BEGIN EC PRIVATE KEY-----
      MIGkAgEBBDAnJ4hB+tTUN9X03/W0RsrYy+qcptlRSYkhaDIsQYPXfTU0ugjJEmRk
      NTPj4y1IRjegBwYFK4EEACKhZANiAARJwY8E72eZTAauBsYSgVj0dH9sKjRbJ5j9
      149BWvBmbA3bIwmY7Z3WRYK8tPPxTtq2KfHIhF70JXnjJq7UpZT/BuSE8OfO5Ixi
      RynEwajfbPcl60SWhbloU6NrXe+/9bk=
      -----END EC PRIVATE KEY-----

   Bob computes a shared secret called "Z" using Alice's ephemeral ECDH
   public key and his static ECDH private key; Z is:

      3f015ed0ff4b99523a95157bbe77e9cc0ee52fcffeb7e41eac79d1c11b6cc556
      19cf8807e6d800c2de40240fe0e26adc

   Bob computes the pairwise key-encryption key, KEK1, from Z using the
   X9.63 KDF with the ECC-CMS-SharedInfo structure with the values shown
   in Appendix B.1.  The X9.63 KDF output is the 256-bit KEK1:

      27dc25ddb0b425f7a968ceada80a8f73c6ccaab115baafcce4a22a45d6b8f3da

   Bob produces the 256-bit KEK2 with HKDF using SHA-384; the secret
   value is KEK1; and the 'info' is the DER-encoded
   CMSORIforPSKOtherInfo structure with the values shown in
   Appendix B.1.  The HKDF output is the 256-bit KEK2:

      7de693ee30ae22b5f8f6cd026c2164103f4e1430f1ab135dc1fb98954f9830bb

   Bob uses AES-KEY-WRAP to decrypt the content-encryption key with the
   KEK2; the content-encryption key is:

      937b1219a64d57ad81c05cc86075e86017848c824d4e85800c731c5b7b091033

   Bob decrypts the content using AES-256-GCM with the content-
   encryption key and checks the received authentication tag.  The
   12-octet nonce used is:

      dbaddecaf888cafebabeface

   The 12-octet authentication tag is:

      550260c42e5b29719426c1ff

   The received ciphertext content is:

      fc6d6f823e3ed2d209d0c6ffcf

   The resulting plaintext content is:

      48656c6c6f2c20776f726c6421

Acknowledgements

   Many thanks to Roman Danyliw, Ben Kaduk, Burt Kaliski, Panos
   Kampanakis, Jim Schaad, Robert Sparks, Sean Turner, and Daniel Van
   Geest for their review and insightful comments.  They have greatly
   improved the design, clarity, and implementation guidance.

Author's Address

   Russ Housley
   Vigil Security, LLC
   516 Dranesville Road
   Herndon, VA 20170
   United States of America

   Email: housley@vigilsec.com