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+
+Network Working Group K. Raeburn
+Request for Comments: 3961 MIT
+Category: Standards Track February 2005
+
+
+ Encryption and Checksum Specifications
+ for Kerberos 5
+
+Status of This Memo
+
+ This document specifies an Internet standards track protocol for the
+ Internet community, and requests discussion and suggestions for
+ improvements. Please refer to the current edition of the "Internet
+ Official Protocol Standards" (STD 1) for the standardization state
+ and status of this protocol. Distribution of this memo is unlimited.
+
+Copyright Notice
+
+ Copyright (C) The Internet Society (2005).
+
+Abstract
+
+ This document describes a framework for defining encryption and
+ checksum mechanisms for use with the Kerberos protocol, defining an
+ abstraction layer between the Kerberos protocol and related
+ protocols, and the actual mechanisms themselves. The document also
+ defines several mechanisms. Some are taken from RFC 1510, modified
+ in form to fit this new framework and occasionally modified in
+ content when the old specification was incorrect. New mechanisms are
+ presented here as well. This document does NOT indicate which
+ mechanisms may be considered "required to implement".
+
+Table of Contents
+
+ 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2
+ 2. Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . 2
+ 3. Encryption Algorithm Profile . . . . . . . . . . . . . . . . 4
+ 4. Checksum Algorithm Profile . . . . . . . . . . . . . . . . . 9
+ 5. Simplified Profile for CBC Ciphers with Key Derivation . . . 10
+ 5.1. A Key Derivation Function . . . . . . . . . . . . . . . 10
+ 5.2. Simplified Profile Parameters . . . . . . . . . . . . . 12
+ 5.3. Cryptosystem Profile Based on Simplified Profile . . . 13
+ 5.4. Checksum Profiles Based on Simplified Profile . . . . . 16
+ 6. Profiles for Kerberos Encryption and Checksum Algorithms . . 16
+ 6.1. Unkeyed Checksums . . . . . . . . . . . . . . . . . . . 17
+ 6.2. DES-based Encryption and Checksum Types . . . . . . . . 18
+ 6.3. Triple-DES Based Encryption and Checksum Types . . . . 28
+ 7. Use of Kerberos Encryption Outside This Specification . . . . 30
+
+
+
+Raeburn Standards Track [Page 1]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ 8. Assigned Numbers . . . . . . . . . . . . . . . . . . . . . . 31
+ 9. Implementation Notes . . . . . . . . . . . . . . . . . . . . 32
+ 10. Security Considerations . . . . . . . . . . . . . . . . . . . 33
+ 11. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 35
+ 12. Acknowledgements. . . . . . . . . . . . . . . . . . . . . . . 36
+ A. Test vectors . . . . . . . . . . . . . . . . . . . . . . . . 38
+ A.1. n-fold . . . . . . . . . . . . . . . . . . . . . . . . 38
+ A.2. mit_des_string_to_key . . . . . . . . . . . . . . . . . 39
+ A.3. DES3 DR and DK . . . . . . . . . . . . . . . . . . . . 43
+ A.4. DES3string_to_key . . . . . . . . . . . . . . . . . . . 44
+ A.5. Modified CRC-32 . . . . . . . . . . . . . . . . . . . . 44
+ B. Significant Changes from RFC 1510 . . . . . . . . . . . . . . 45
+ Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
+ Normative References. . . . . . . . . . . . . . . . . . . . . . . 47
+ Informative References. . . . . . . . . . . . . . . . . . . . . . 48
+ Editor's Address. . . . . . . . . . . . . . . . . . . . . . . . . 49
+ Full Copyright Statement. . . . . . . . . . . . . . . . . . . . . 50
+
+1. Introduction
+
+ The Kerberos protocols [Kerb] are designed to encrypt messages of
+ arbitrary sizes, using block encryption ciphers or, less commonly,
+ stream encryption ciphers. Encryption is used to prove the
+ identities of the network entities participating in message
+ exchanges. However, nothing in the Kerberos protocol requires that
+ any specific encryption algorithm be used, as long as the algorithm
+ includes certain operations.
+
+ The following sections specify the encryption and checksum mechanisms
+ currently defined for Kerberos, as well as a framework for defining
+ future mechanisms. The encoding, chaining, padding, and other
+ requirements for each are described. Appendix A gives test vectors
+ for several functions.
+
+2. Concepts
+
+ Both encryption and checksum mechanisms are profiled in later
+ sections. Each profile specifies a collection of operations and
+ attributes that must be defined for a mechanism. A Kerberos
+ encryption or checksum mechanism specification is not complete if it
+ does not define all of these operations and attributes.
+
+ An encryption mechanism must provide for confidentiality and
+ integrity of the original plaintext. (Incorporating a checksum may
+ permit integrity checking, if the encryption mode does not provide an
+ integrity check itself.) It must also provide non-malleability
+
+
+
+
+
+Raeburn Standards Track [Page 2]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ [Bellare98] [Dolev91]. Use of a random confounder prepended to the
+ plaintext is recommended. It should not be possible to determine if
+ two ciphertexts correspond to the same plaintext without the key.
+
+ A checksum mechanism [1] must provide proof of the integrity of the
+ associated message and must preserve the confidentiality of the
+ message in case it is not sent in the clear. Finding two plaintexts
+ with the same checksum should be infeasible. It is NOT required that
+ an eavesdropper be unable to determine whether two checksums are for
+ the same message, as the messages themselves would presumably be
+ visible to any such eavesdropper.
+
+ Due to advances in cryptography, some cryptographers consider using
+ the same key for multiple purposes unwise. Since keys are used in
+ performing a number of different functions in Kerberos, it is
+ desirable to use different keys for each of these purposes, even
+ though we start with a single long-term or session key.
+
+ We do this by enumerating the different uses of keys within Kerberos
+ and by making the "usage number" an input to the encryption or
+ checksum mechanisms; such enumeration is outside the scope of this
+ document. Later sections define simplified profile templates for
+ encryption and checksum mechanisms that use a key derivation function
+ applied to a CBC mode (or similar) cipher and a checksum or hash
+ algorithm.
+
+ We distinguish the "base key" specified by other documents from the
+ "specific key" for a specific encryption or checksum operation. It
+ is expected but not required that the specific key be one or more
+ separate keys derived from the original protocol key and the key
+ usage number. The specific key should not be explicitly referenced
+ outside of this document. The typical language used in other
+ documents should be something like, "encrypt this octet string using
+ this key and this usage number"; generation of the specific key and
+ cipher state (described in the next section) are implicit. The
+ creation of a new cipher-state object, or the re-use of one from a
+ previous encryption operation, may also be explicit.
+
+ New protocols defined in terms of the Kerberos encryption and
+ checksum types should use their own key usage values. Key usages are
+ unsigned 32-bit integers; zero is not permitted.
+
+ All data is assumed to be in the form of strings of octets or eight-
+ bit bytes. Environments with other byte sizes will have to emulate
+ this behavior in order to get correct results.
+
+
+
+
+
+
+Raeburn Standards Track [Page 3]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Each algorithm is assigned an encryption type (or "etype") or
+ checksum type number, for algorithm identification within the
+ Kerberos protocol. The full list of current type number assignments
+ is given in section 8.
+
+3. Encryption Algorithm Profile
+
+ An encryption mechanism profile must define the following attributes
+ and operations. The operations must be defined as functions in the
+ mathematical sense. No additional or implicit inputs (such as
+ Kerberos principal names or message sequence numbers) are permitted.
+
+ protocol key format
+ This describes which octet string values represent valid keys.
+ For encryption mechanisms that don't have perfectly dense key
+ spaces, this will describe the representation used for encoding
+ keys. It need not describe invalid specific values; all key
+ generation routines should avoid such values.
+
+ specific key structure
+ This is not a protocol format at all, but a description of the
+ keying material derived from the chosen key and used to encrypt or
+ decrypt data or compute or verify a checksum. It may, for
+ example, be a single key, a set of keys, or a combination of the
+ original key with additional data. The authors recommend using
+ one or more keys derived from the original key via one-way key
+ derivation functions.
+
+ required checksum mechanism
+ This indicates a checksum mechanism that must be available when
+ this encryption mechanism is used. Since Kerberos has no built in
+ mechanism for negotiating checksum mechanisms, once an encryption
+ mechanism is decided, the corresponding checksum mechanism can be
+ used.
+
+ key-generation seed length, K
+ This is the length of the random bitstring needed to generate a
+ key with the encryption scheme's random-to-key function (described
+ below). This must be a fixed value so that various techniques for
+ producing a random bitstring of a given length may be used with
+ key generation functions.
+
+ key generation functions
+ Keys must be generated in a number of cases, from different types
+ of inputs. All function specifications must indicate how to
+ generate keys in the proper wire format and must avoid generating
+ keys that significantly compromise the confidentiality of
+ encrypted data, if the cryptosystem has such. Entropy from each
+
+
+
+Raeburn Standards Track [Page 4]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ source should be preserved as much as possible. Many of the
+ inputs, although unknown, may be at least partly predictable
+ (e.g., a password string is likely to be entirely in the ASCII
+ subset and of fairly short length in many environments; a semi-
+ random string may include time stamps). The benefit of such
+ predictability to an attacker must be minimized.
+
+ string-to-key (UTF-8 string, UTF-8 string, opaque)->(protocol-key)
+ This function generates a key from two UTF-8 strings and an opaque
+ octet string. One of the strings is usually the principal's pass
+ phrase, but generally it is merely a secret string. The other
+ string is a "salt" string intended to produce different keys from
+ the same password for different users or realms. Although the
+ strings provided will use UTF-8 encoding, no specific version of
+ Unicode should be assumed; all valid UTF-8 strings should be
+ allowed. Strings provided in other encodings MUST first be
+ converted to UTF-8 before applying this function.
+
+ The third argument, the octet string, may be used to pass
+ mechanism-specific parameters into this function. Since doing so
+ implies knowledge of the specific encryption system, generating
+ non-default parameter values should be an uncommon operation, and
+ normal Kerberos applications should be able to treat this
+ parameter block as an opaque object supplied by the Key
+ Distribution Center or defaulted to some mechanism-specific
+ constant value.
+
+ The string-to-key function should be a one-way function so that
+ compromising a user's key in one realm does not compromise it in
+ another, even if the same password (but a different salt) is used.
+
+ random-to-key (bitstring[K])->(protocol-key)
+ This function generates a key from a random bitstring of a
+ specific size. All the bits of the input string are assumed to be
+ equally random, even though the entropy present in the random
+ source may be limited.
+
+ key-derivation (protocol-key, integer)->(specific-key)
+ In this function, the integer input is the key usage value, as
+ described above. An attacker is assumed to know the usage values.
+ The specific-key output value was described in section 2.
+
+ string-to-key parameter format
+ This describes the format of the block of data that can be passed
+ to the string-to-key function above to configure additional
+ parameters for that function. Along with the mechanism of
+ encoding parameter values, bounds on the allowed parameters should
+ also be described to avoid allowing a spoofed KDC to compromise
+
+
+
+Raeburn Standards Track [Page 5]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ the user's password. If practical it may be desirable to
+ construct the encoding so that values unacceptably weakening the
+ resulting key cannot be encoded.
+
+ Local security policy might permit tighter bounds to avoid excess
+ resource consumption. If so, the specification should recommended
+ defaults for these bounds. The description should also outline
+ possible weaknesses if bounds checks or other validations are not
+ applied to a parameter string received from the network.
+
+ As mentioned above, this should be considered opaque to most
+ normal applications.
+
+ default string-to-key parameters (octet string)
+ This default value for the "params" argument to the string-to-key
+ function should be used when the application protocol (Kerberos or
+ other) does not explicitly set the parameter value. As indicated
+ above, in most cases this parameter block should be treated as an
+ opaque object.
+
+ cipher state
+ This describes any information that can be carried over from one
+ encryption or decryption operation to the next, for use with a
+ given specific key. For example, a block cipher used in CBC mode
+ may put an initial vector of one block in the cipher state. Other
+ encryption modes may track nonces or other data.
+
+ This state must be non-empty and must influence encryption so that
+ messages are decrypted in the same order they were a encrypted, if
+ the cipher state is carried over from one encryption to the next.
+ Distinguishing out-of-order or missing messages from corrupted
+ messages is not required. If desired, this can be done at a
+ higher level by including sequence numbers and not "chaining" the
+ cipher state between encryption operations.
+
+ The cipher state may not be reused in multiple encryption or
+ decryption operations. These operations all generate a new cipher
+ state that may be used for following operations using the same key
+ and operation.
+
+ The contents of the cipher state must be treated as opaque outside
+ of encryption system specifications.
+
+ initial cipher state (specific-key, direction)->(state)
+ This describes the generation of the initial value for the cipher
+ state if it is not being carried over from a previous encryption
+ or decryption operation.
+
+
+
+
+Raeburn Standards Track [Page 6]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ This describes any initial state setup needed before encrypting
+ arbitrary amounts of data with a given specific key. The specific
+ key and the direction of operations to be performed (encrypt
+ versus decrypt) must be the only input needed for this
+ initialization.
+
+ This state should be treated as opaque in any uses outside of an
+ encryption algorithm definition.
+
+ IMPLEMENTATION NOTE: [Kerb1510] was vague on whether and to what
+ degree an application protocol could exercise control over the
+ initial vector used in DES CBC operations. Some existing
+ implementations permit setting the initial vector. This framework
+ does not provide for application control of the cipher state
+ (beyond "initialize" and "carry over from previous encryption"),
+ as the form and content of the initial cipher state can vary
+ between encryption systems and may not always be a single block of
+ random data.
+
+ New Kerberos application protocols should not assume control over
+ the initial vector, or that one even exists. However, a general-
+ purpose implementation may wish to provide the capability, in case
+ applications explicitly setting it are encountered.
+
+ encrypt (specific-key, state, octet string)->(state, octet string)
+ This function takes the specific key, cipher state, and a non-
+ empty plaintext string as input and generates ciphertext and a new
+ cipher state as outputs. If the basic encryption algorithm itself
+ does not provide for integrity protection (e.g., DES in CBC mode),
+ then some form of verifiable MAC or checksum must be included.
+ Some random factor such as a confounder should be included so that
+ an observer cannot know if two messages contain the same
+ plaintext, even if the cipher state and specific keys are the
+ same. The exact length of the plaintext need not be encoded, but
+ if it is not and if padding is required, the padding must be added
+ at the end of the string so that the decrypted version may be
+ parsed from the beginning.
+
+ The specification of the encryption function must indicate not
+ only the precise contents of the output octet string, but also the
+ output cipher state. The application protocol may carry the
+ output cipher state forward from one encryption with a given
+ specific key to another; the effect of this "chaining" must be
+ defined [2].
+
+ Assuming that values for the specific key and cipher state are
+ correctly-produced, no input octet string may result in an error
+ indication.
+
+
+
+Raeburn Standards Track [Page 7]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ decrypt (specific-key, state, octet string)->(state, octet string)
+ This function takes the specific key, cipher state, and ciphertext
+ as inputs and verifies the integrity of the supplied ciphertext.
+ If the ciphertext's integrity is intact, this function produces
+ the plaintext and a new cipher state as outputs; otherwise, an
+ error indication must be returned, and the data discarded.
+
+ The result of the decryption may be longer than the original
+ plaintext, as, for example, when the encryption mode adds padding
+ to reach a multiple of a block size. If this is the case, any
+ extra octets must come after the decoded plaintext. An
+ application protocol that needs to know the exact length of the
+ message must encode a length or recognizable "end of message"
+ marker within the plaintext [3].
+
+ As with the encryption function, a correct specification for this
+ function must indicate not only the contents of the output octet
+ string, but also the resulting cipher state.
+
+ pseudo-random (protocol-key, octet-string)->(octet-string)
+ This pseudo-random function should generate an octet string of
+ some size that is independent of the octet string input. The PRF
+ output string should be suitable for use in key generation, even
+ if the octet string input is public. It should not reveal the
+ input key, even if the output is made public.
+
+ These operations and attributes are all that is required to support
+ Kerberos and various proposed preauthentication schemes.
+
+ For convenience of certain application protocols that may wish to use
+ the encryption profile, we add the constraint that, for any given
+ plaintext input size, a message size must exist between that given
+ size and that size plus 65,535 such that the length of the decrypted
+ version of the ciphertext will never have extra octets at the end.
+
+ Expressed mathematically, for every message length L1, there exists a
+ message size L2 such that
+
+ L2 >= L1
+ L2 < L1 + 65,536
+ for every message M with |M| = L2, decrypt(encrypt(M)) = M
+
+ A document defining a new encryption type should also describe known
+ weaknesses or attacks, so that its security may be fairly assessed,
+ and should include test vectors or other validation procedures for
+ the operations defined. Specific references to information that is
+ readily available elsewhere are sufficient.
+
+
+
+
+Raeburn Standards Track [Page 8]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+4. Checksum Algorithm Profile
+
+ A checksum mechanism profile must define the following attributes and
+ operations:
+
+ associated encryption algorithm(s)
+ This indicates the types of encryption keys this checksum
+ mechanism can be used with.
+
+ A keyed checksum mechanism may have more than one associated
+ encryption algorithm if they share the same wire-key format,
+ string-to-key function, default string-to-key-parameters, and key
+ derivation function. (This combination means that, for example, a
+ checksum type, key usage value, and password are adequate to get
+ the specific key used to compute a checksum.)
+
+ An unkeyed checksum mechanism can be used with any encryption
+ type, as the key is ignored, but its use must be limited to cases
+ where the checksum itself is protected, to avoid trivial attacks.
+
+ get_mic function
+ This function generates a MIC token for a given specific key (see
+ section 3) and message (represented as an octet string) that may
+ be used to verify the integrity of the associated message. This
+ function is not required to return the same deterministic result
+ for each use; it need only generate a token that the verify_mic
+ routine can check.
+
+ The output of this function will also dictate the size of the
+ checksum. It must be no larger than 65,535 octets.
+
+ verify_mic function
+ Given a specific key, message, and MIC token, this function
+ ascertains whether the message integrity has been compromised.
+ For a deterministic get_mic routine, the corresponding verify_mic
+ may simply generate another checksum and compare the two.
+
+ The get_mic and verify_mic operations must allow inputs of arbitrary
+ length; if any padding is needed, the padding scheme must be
+ specified as part of these functions.
+
+ These operations and attributes are all that should be required to
+ support Kerberos and various proposed preauthentication schemes.
+
+ As with encryption mechanism definition documents, documents defining
+ new checksum mechanisms should indicate validation processes and
+ known weaknesses.
+
+
+
+
+Raeburn Standards Track [Page 9]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+5. Simplified Profile for CBC Ciphers with Key Derivation
+
+ The profile outlined in sections 3 and 4 describes a large number of
+ operations that must be defined for encryption and checksum
+ algorithms to be used with Kerberos. Here we describe a simpler
+ profile that can generate both encryption and checksum mechanism
+ definitions, filling in uses of key derivation in appropriate places,
+ providing integrity protection, and defining multiple operations for
+ the cryptosystem profile based on a smaller set of operations. Not
+ all of the existing cryptosystems for Kerberos fit into this
+ simplified profile, but we recommend that future cryptosystems use it
+ or something based on it [4].
+
+ Not all the operations in the complete profiles are defined through
+ this mechanism; several must still be defined for each new algorithm
+ pair.
+
+5.1. A Key Derivation Function
+
+ Rather than define some scheme by which a "protocol key" is composed
+ of a large number of encryption keys, we use keys derived from a base
+ key to perform cryptographic operations. The base key must be used
+ only for generating the derived keys, and this derivation must be
+ non-invertible and entropy preserving. Given these restrictions,
+ compromise of one derived key does not compromise others. Attack of
+ the base key is limited, as it is only used for derivation and is not
+ exposed to any user data.
+
+ To generate a derived key from a base key, we generate a pseudorandom
+ octet string by using an algorithm DR, described below, and generate
+ a key from that octet string by using a function dependent on the
+ encryption algorithm. The input length needed for that function,
+ which is also dependent on the encryption algorithm, dictates the
+ length of the string to be generated by the DR algorithm (the value
+ "k" below). These procedures are based on the key derivation in
+ [Blumenthal96].
+
+ Derived Key = DK(Base Key, Well-Known Constant)
+
+ DK(Key, Constant) = random-to-key(DR(Key, Constant))
+
+ DR(Key, Constant) = k-truncate(E(Key, Constant,
+ initial-cipher-state))
+
+ Here DR is the random-octet generation function described below, and
+ DK is the key-derivation function produced from it. In this
+ construction, E(Key, Plaintext, CipherState) is a cipher, Constant is
+ a well-known constant determined by the specific usage of this
+
+
+
+Raeburn Standards Track [Page 10]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ function, and k-truncate truncates its argument by taking the first k
+ bits. Here, k is the key generation seed length needed for the
+ encryption system.
+
+ The output of the DR function is a string of bits; the actual key is
+ produced by applying the cryptosystem's random-to-key operation on
+ this bitstring.
+
+ If the Constant is smaller than the cipher block size of E, then it
+ must be expanded with n-fold() so it can be encrypted. If the output
+ of E is shorter than k bits, it is fed back into the encryption as
+ many times as necessary. The construct is as follows (where |
+ indicates concatentation):
+
+ K1 = E(Key, n-fold(Constant), initial-cipher-state)
+ K2 = E(Key, K1, initial-cipher-state)
+ K3 = E(Key, K2, initial-cipher-state)
+ K4 = ...
+
+ DR(Key, Constant) = k-truncate(K1 | K2 | K3 | K4 ...)
+
+ n-fold is an algorithm that takes m input bits and "stretches" them
+ to form n output bits with equal contribution from each input bit to
+ the output, as described in [Blumenthal96]:
+
+ We first define a primitive called n-folding, which takes a
+ variable-length input block and produces a fixed-length output
+ sequence. The intent is to give each input bit approximately
+ equal weight in determining the value of each output bit. Note
+ that whenever we need to treat a string of octets as a number, the
+ assumed representation is Big-Endian -- Most Significant Byte
+ first.
+
+ To n-fold a number X, replicate the input value to a length that
+ is the least common multiple of n and the length of X. Before
+ each repetition, the input is rotated to the right by 13 bit
+ positions. The successive n-bit chunks are added together using
+ 1's-complement addition (that is, with end-around carry) to yield
+ a n-bit result....
+
+ Test vectors for n-fold are supplied in appendix A [5].
+
+ In this section, n-fold is always used to produce c bits of output,
+ where c is the cipher block size of E.
+
+ The size of the Constant must not be larger than c, because reducing
+ the length of the Constant by n-folding can cause collisions.
+
+
+
+
+Raeburn Standards Track [Page 11]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ If the size of the Constant is smaller than c, then the Constant must
+ be n-folded to length c. This string is used as input to E. If the
+ block size of E is less than the random-to-key input size, then the
+ output from E is taken as input to a second invocation of E. This
+ process is repeated until the number of bits accumulated is greater
+ than or equal to the random-to-key input size. When enough bits have
+ been computed, the first k are taken as the random data used to
+ create the key with the algorithm-dependent random-to-key function.
+
+ As the derived key is the result of one or more encryptions in the
+ base key, deriving the base key from the derived key is equivalent to
+ determining the key from a very small number of plaintext/ciphertext
+ pairs. Thus, this construction is as strong as the cryptosystem
+ itself.
+
+5.2. Simplified Profile Parameters
+
+ These are the operations and attributes that must be defined:
+
+ protocol key format
+ string-to-key function
+ default string-to-key parameters
+ key-generation seed length, k
+ random-to-key function
+ As above for the normal encryption mechanism profile.
+
+ unkeyed hash algorithm, H
+ This should be a collision-resistant hash algorithm with fixed-
+ size output, suitable for use in an HMAC [HMAC]. It must support
+ inputs of arbitrary length. Its output must be at least the
+ message block size (below).
+
+ HMAC output size, h
+ This indicates the size of the leading substring output by the
+ HMAC function that should be used in transmitted messages. It
+ should be at least half the output size of the hash function H,
+ and at least 80 bits; it need not match the output size.
+
+ message block size, m
+ This is the size of the smallest units the cipher can handle in
+ the mode in which it is being used. Messages will be padded to a
+ multiple of this size. If a block cipher is used in a mode that
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 12]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ can handle messages that are not multiples of the cipher block
+ size, such as CBC mode with cipher text stealing (CTS, see [RC5]),
+ this value would be one octet. For traditional CBC mode with
+ padding, it would be the underlying cipher's block size.
+
+ This value must be a multiple of eight bits (one octet).
+
+ encryption/decryption functions, E and D
+ These are basic encryption and decryption functions for messages
+ of sizes that are multiples of the message block size. No
+ integrity checking or confounder should be included here. For
+ inputs these functions take the IV or similar data, a protocol-
+ format key, and an octet string, returning a new IV and octet
+ string.
+
+ The encryption function is not required to use CBC mode but is
+ assumed to be using something with similar properties. In
+ particular, prepending a cipher block-size confounder to the
+ plaintext should alter the entire ciphertext (comparable to
+ choosing and including a random initial vector for CBC mode).
+
+ The result of encrypting one cipher block (of size c, above) must
+ be deterministic for the random octet generation function DR in
+ the previous section to work. For best security, it should also
+ be no larger than c.
+
+ cipher block size, c
+ This is the block size of the block cipher underlying the
+ encryption and decryption functions indicated above, used for key
+ derivation and for the size of the message confounder and initial
+ vector. (If a block cipher is not in use, some comparable
+ parameter should be determined.) It must be at least 5 octets.
+
+ This is not actually an independent parameter; rather, it is a
+ property of the functions E and D. It is listed here to clarify
+ the distinction between it and the message block size, m.
+
+ Although there are still a number of properties to specify, they are
+ fewer and simpler than in the full profile.
+
+5.3. Cryptosystem Profile Based on Simplified Profile
+
+ The above key derivation function is used to produce three
+ intermediate keys. One is used for computing checksums of
+ unencrypted data. The other two are used for encrypting and
+ checksumming plaintext to be sent encrypted.
+
+
+
+
+
+Raeburn Standards Track [Page 13]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ The ciphertext output is the concatenation of the output of the basic
+ encryption function E and a (possibly truncated) HMAC using the
+ specified hash function H, both applied to the plaintext with a
+ random confounder prefix and sufficient padding to bring it to a
+ multiple of the message block size. When the HMAC is computed, the
+ key is used in the protocol key form.
+
+ Decryption is performed by removing the (partial) HMAC, decrypting
+ the remainder, and verifying the HMAC. The cipher state is an
+ initial vector, initialized to zero.
+
+ The substring notation "[1..h]" in the following table should be read
+ as using 1-based indexing; leading substrings are used.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 14]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Cryptosystem from Simplified Profile
+------------------------------------------------------------------------
+protocol key format As given.
+
+specific key structure Three protocol-format keys: { Kc, Ke, Ki }.
+
+key-generation seed As given.
+length
+
+required checksum As defined below in section 5.4.
+mechanism
+
+cipher state Initial vector (usually of length c)
+
+initial cipher state All bits zero
+
+encryption function conf = Random string of length c
+ pad = Shortest string to bring confounder
+ and plaintext to a length that's a
+ multiple of m.
+ (C1, newIV) = E(Ke, conf | plaintext | pad,
+ oldstate.ivec)
+ H1 = HMAC(Ki, conf | plaintext | pad)
+ ciphertext = C1 | H1[1..h]
+ newstate.ivec = newIV
+
+decryption function (C1,H1) = ciphertext
+ (P1, newIV) = D(Ke, C1, oldstate.ivec)
+ if (H1 != HMAC(Ki, P1)[1..h])
+ report error
+ newstate.ivec = newIV
+
+default string-to-key As given.
+params
+
+pseudo-random function tmp1 = H(octet-string)
+ tmp2 = truncate tmp1 to multiple of m
+ PRF = E(DK(protocol-key, prfconstant),
+ tmp2, initial-cipher-state)
+
+ The "prfconstant" used in the PRF operation is the three-octet string
+ "prf".
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 15]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Cryptosystem from Simplified Profile
+------------------------------------------------------------------------
+key generation functions:
+
+string-to-key function As given.
+
+random-to-key function As given.
+
+key-derivation function The "well-known constant" used for the DK
+ function is the key usage number, expressed as
+ four octets in big-endian order, followed by
+ one octet indicated below.
+
+ Kc = DK(base-key, usage | 0x99);
+ Ke = DK(base-key, usage | 0xAA);
+ Ki = DK(base-key, usage | 0x55);
+
+5.4. Checksum Profiles Based on Simplified Profile
+
+ When an encryption system is defined with the simplified profile
+ given in section 5.2, a checksum algorithm may be defined for it as
+ follows:
+
+ Checksum Mechanism from Simplified Profile
+ --------------------------------------------------
+ associated cryptosystem As defined above.
+
+ get_mic HMAC(Kc, message)[1..h]
+
+ verify_mic get_mic and compare
+
+ The HMAC function and key Kc are as described in section 5.3.
+
+6. Profiles for Kerberos Encryption and Checksum Algorithms
+
+ These profiles describe the encryption and checksum systems defined
+ for Kerberos. The astute reader will notice that some of them do not
+ fulfill all the requirements outlined in previous sections. These
+ systems are defined for backward compatibility; newer implementations
+ should (whenever possible) attempt to utilize encryption systems that
+ satisfy all the profile requirements.
+
+ The full list of current encryption and checksum type number
+ assignments, including values currently reserved but not defined in
+ this document, is given in section 8.
+
+
+
+
+
+
+Raeburn Standards Track [Page 16]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+6.1. Unkeyed Checksums
+
+ These checksum types use no encryption keys and thus can be used in
+ combination with any encryption type, but they may only be used with
+ caution, in limited circumstances where the lack of a key does not
+ provide a window for an attack, preferably as part of an encrypted
+ message [6]. Keyed checksum algorithms are recommended.
+
+6.1.1. The RSA MD5 Checksum
+
+ The RSA-MD5 checksum calculates a checksum by using the RSA MD5
+ algorithm [MD5-92]. The algorithm takes as input an input message of
+ arbitrary length and produces as output a 128-bit (sixteen octet)
+ checksum.
+
+ rsa-md5
+ ----------------------------------------------
+ associated cryptosystem any
+
+ get_mic rsa-md5(msg)
+
+ verify_mic get_mic and compare
+
+ The rsa-md5 checksum algorithm is assigned a checksum type number of
+ seven (7).
+
+6.1.2. The RSA MD4 Checksum
+
+ The RSA-MD4 checksum calculates a checksum using the RSA MD4
+ algorithm [MD4-92]. The algorithm takes as input an input message of
+ arbitrary length and produces as output a 128-bit (sixteen octet)
+ checksum.
+
+ rsa-md4
+ ----------------------------------------------
+ associated cryptosystem any
+
+ get_mic md4(msg)
+
+ verify_mic get_mic and compare
+
+ The rsa-md4 checksum algorithm is assigned a checksum type number of
+ two (2).
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 17]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+6.1.3. CRC-32 Checksum
+
+ This CRC-32 checksum calculates a checksum based on a cyclic
+ redundancy check as described in ISO 3309 [CRC] but modified as
+ described below. The resulting checksum is four (4) octets in
+ length. The CRC-32 is neither keyed nor collision-proof; thus, the
+ use of this checksum is not recommended. An attacker using a
+ probabilistic chosen-plaintext attack as described in [SG92] might be
+ able to generate an alternative message that satisfies the checksum.
+
+ The CRC-32 checksum used in the des-cbc-crc encryption mode is
+ identical to the 32-bit FCS described in ISO 3309 with two
+ exceptions: The sum with the all-ones polynomial times x**k is
+ omitted, and the final remainder is not ones-complemented. ISO 3309
+ describes the FCS in terms of bits, whereas this document describes
+ the Kerberos protocol in terms of octets. To clarify the ISO 3309
+ definition for the purpose of computing the CRC-32 in the des-cbc-crc
+ encryption mode, the ordering of bits in each octet shall be assumed
+ to be LSB first. Given this assumed ordering of bits within an
+ octet, the mapping of bits to polynomial coefficients shall be
+ identical to that specified in ISO 3309.
+
+ Test values for this modified CRC function are included in appendix
+ A.5.
+
+ crc32
+ ----------------------------------------------
+ associated cryptosystem any
+
+ get_mic crc32(msg)
+
+ verify_mic get_mic and compare
+
+ The crc32 checksum algorithm is assigned a checksum type number of
+ one (1).
+
+6.2. DES-Based Encryption and Checksum Types
+
+ These encryption systems encrypt information under the Data
+ Encryption Standard [DES77] by using the cipher block chaining mode
+ [DESM80]. A checksum is computed as described below and placed in
+ the cksum field. DES blocks are eight bytes. As a result, the data
+ to be encrypted (the concatenation of confounder, checksum, and
+ message) must be padded to an eight byte boundary before encryption.
+ The values of the padding bytes are unspecified.
+
+
+
+
+
+
+Raeburn Standards Track [Page 18]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Plaintext and DES ciphertext are encoded as blocks of eight octets,
+ which are concatenated to make the 64-bit inputs for the DES
+ algorithms. The first octet supplies the eight most significant bits
+ (with the octet's MSB used as the DES input block's MSB, etc.), the
+ second octet the next eight bits, and so on. The eighth octet
+ supplies the 8 least significant bits.
+
+ Encryption under DES using cipher block chaining requires an
+ additional input in the form of an initialization vector; this vector
+ is specified below for each encryption system.
+
+ The DES specifications [DESI81] identify four 'weak' and twelve
+ 'semi-weak' keys; these keys SHALL NOT be used for encrypting
+ messages for use in Kerberos. The "variant keys" generated for the
+ RSA-MD5-DES, RSA-MD4-DES, and DES-MAC checksum types by an
+ eXclusive-OR of a DES key with a constant are not checked for this
+ property.
+
+ A DES key is eight octets of data. This consists of 56 bits of
+ actual key data, and eight parity bits, one per octet. The key is
+ encoded as a series of eight octets written in MSB-first order. The
+ bits within the key are also encoded in MSB order. For example, if
+ the encryption key is
+ (B1,B2,...,B7,P1,B8,...,B14,P2,B15,...,B49,P7,B50,...,B56,P8), where
+ B1,B2,...,B56 are the key bits in MSB order, and P1,P2,...,P8 are the
+ parity bits, the first octet of the key would be B1,B2,...,B7,P1
+ (with B1 as the most significant bit). See the [DESM80] introduction
+ for reference.
+
+ Encryption Data Format
+
+ The format for the data to be encrypted includes a one-block
+ confounder, a checksum, the encoded plaintext, and any necessary
+ padding, as described in the following diagram. The msg-seq field
+ contains the part of the protocol message to be encrypted.
+
+ +-----------+----------+---------+-----+
+ |confounder | checksum | msg-seq | pad |
+ +-----------+----------+---------+-----+
+
+ One generates a random confounder of one block, placing it in
+ 'confounder'; zeros out the 'checksum' field (of length appropriate
+ to exactly hold the checksum to be computed); adds the necessary
+ padding; calculates the appropriate checksum over the whole sequence,
+ placing the result in 'checksum'; and then encrypts using the
+ specified encryption type and the appropriate key.
+
+
+
+
+
+Raeburn Standards Track [Page 19]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ String or Random-Data to Key Transformation
+
+ To generate a DES key from two UTF-8 text strings (password and
+ salt), the two strings are concatenated, password first, and the
+ result is then padded with zero-valued octets to a multiple of eight
+ octets.
+
+ The top bit of each octet (always zero if the password is plain
+ ASCII, as was assumed when the original specification was written) is
+ discarded, and the remaining seven bits of each octet form a
+ bitstring. This is then fan-folded and eXclusive-ORed with itself to
+ produce a 56-bit string. An eight-octet key is formed from this
+ string, each octet using seven bits from the bitstring, leaving the
+ least significant bit unassigned. The key is then "corrected" by
+ correcting the parity on the key, and if the key matches a 'weak' or
+ 'semi-weak' key as described in the DES specification, it is
+ eXclusive-ORed with the constant 0x00000000000000F0. This key is
+ then used to generate a DES CBC checksum on the initial string with
+ the salt appended. The result of the CBC checksum is then
+ "corrected" as described above to form the result, which is returned
+ as the key.
+
+ For purposes of the string-to-key function, the DES CBC checksum is
+ calculated by CBC encrypting a string using the key as IV and the
+ final eight byte block as the checksum.
+
+ Pseudocode follows:
+
+ removeMSBits(8byteblock) {
+ /* Treats a 64 bit block as 8 octets and removes the MSB in
+ each octet (in big endian mode) and concatenates the
+ result. E.g., the input octet string:
+ 01110000 01100001 11110011 01110011 11110111 01101111
+ 11110010 01100100
+ results in the output bitstring:
+ 1110000 1100001 1110011 1110011 1110111 1101111
+ 1110010 1100100 */
+ }
+
+ reverse(56bitblock) {
+ /* Treats a 56-bit block as a binary string and reverses it.
+ E.g., the input string:
+ 1000001 1010100 1001000 1000101 1001110 1000001
+ 0101110 1001101
+ results in the output string:
+ 1011001 0111010 1000001 0111001 1010001 0001001
+ 0010101 1000001 */
+ }
+
+
+
+Raeburn Standards Track [Page 20]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ add_parity_bits(56bitblock) {
+ /* Copies a 56-bit block into a 64-bit block, left shifts
+ content in each octet, and add DES parity bit.
+ E.g., the input string:
+ 1100000 0001111 0011100 0110100 1000101 1100100
+ 0110110 0010111
+ results in the output string:
+ 11000001 00011111 00111000 01101000 10001010 11001000
+ 01101101 00101111 */
+ }
+
+ key_correction(key) {
+ fixparity(key);
+ if (is_weak_key(key))
+ key = key XOR 0xF0;
+ return(key);
+ }
+
+ mit_des_string_to_key(string,salt) {
+ odd = 1;
+ s = string | salt;
+ tempstring = 0; /* 56-bit string */
+ pad(s); /* with nulls to 8 byte boundary */
+ for (8byteblock in s) {
+ 56bitstring = removeMSBits(8byteblock);
+ if (odd == 0) reverse(56bitstring);
+ odd = ! odd;
+ tempstring = tempstring XOR 56bitstring;
+ }
+ tempkey = key_correction(add_parity_bits(tempstring));
+ key = key_correction(DES-CBC-check(s,tempkey));
+ return(key);
+ }
+
+ des_string_to_key(string,salt,params) {
+ if (length(params) == 0)
+ type = 0;
+ else if (length(params) == 1)
+ type = params[0];
+ else
+ error("invalid params");
+ if (type == 0)
+ mit_des_string_to_key(string,salt);
+ else
+ error("invalid params");
+ }
+
+
+
+
+
+Raeburn Standards Track [Page 21]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ One common extension is to support the "AFS string-to-key" algorithm,
+ which is not defined here, if the type value above is one (1).
+
+ For generation of a key from a random bitstring, we start with a 56-
+ bit string and, as with the string-to-key operation above, insert
+ parity bits. If the result is a weak or semi-weak key, we modify it
+ by eXclusive-OR with the constant 0x00000000000000F0:
+
+ des_random_to_key(bitstring) {
+ return key_correction(add_parity_bits(bitstring));
+ }
+
+6.2.1. DES with MD5
+
+ The des-cbc-md5 encryption mode encrypts information under DES in CBC
+ mode with an all-zero initial vector and with an MD5 checksum
+ (described in [MD5-92]) computed and placed in the checksum field.
+
+ The encryption system parameters for des-cbc-md5 are as follows:
+
+ des-cbc-md5
+ --------------------------------------------------------------------
+ protocol key format 8 bytes, parity in low bit of each
+
+ specific key structure copy of original key
+
+ required checksum rsa-md5-des
+ mechanism
+
+ key-generation seed 8 bytes
+ length
+
+ cipher state 8 bytes (CBC initial vector)
+
+ initial cipher state all-zero
+
+ encryption function des-cbc(confounder | checksum | msg | pad,
+ ivec=oldstate)
+ where
+ checksum = md5(confounder | 0000...
+ | msg | pad)
+
+ newstate = last block of des-cbc output
+
+ decryption function decrypt encrypted text and verify checksum
+
+ newstate = last block of ciphertext
+
+
+
+
+Raeburn Standards Track [Page 22]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ des-cbc-md5
+ --------------------------------------------------------------------
+ default string-to-key empty string
+ params
+
+ pseudo-random function des-cbc(md5(input-string), ivec=0)
+
+ key generation functions:
+
+ string-to-key des_string_to_key
+
+ random-to-key des_random_to_key
+
+ key-derivation identity
+
+ The des-cbc-md5 encryption type is assigned the etype value three
+ (3).
+
+6.2.2. DES with MD4
+
+ The des-cbc-md4 encryption mode also encrypts information under DES
+ in CBC mode, with an all-zero initial vector. An MD4 checksum
+ (described in [MD4-92]) is computed and placed in the checksum field.
+
+ des-cbc-md4
+ --------------------------------------------------------------------
+ protocol key format 8 bytes, parity in low bit of each
+
+ specific key structure copy of original key
+
+ required checksum rsa-md4-des
+ mechanism
+
+ key-generation seed 8 bytes
+ length
+
+ cipher state 8 bytes (CBC initial vector)
+
+ initial cipher state all-zero
+
+ encryption function des-cbc(confounder | checksum | msg | pad,
+ ivec=oldstate)
+ where
+ checksum = md4(confounder | 0000...
+ | msg | pad)
+
+ newstate = last block of des-cbc output
+
+
+
+
+Raeburn Standards Track [Page 23]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ des-cbc-md4
+ --------------------------------------------------------------------
+
+ decryption function decrypt encrypted text and verify checksum
+
+ newstate = last block of ciphertext
+
+ default string-to-key empty string
+ params
+
+ pseudo-random function des-cbc(md5(input-string), ivec=0)
+
+ key generation functions:
+
+ string-to-key des_string_to_key
+
+ random-to-key copy input, then fix parity bits
+
+ key-derivation identity
+
+ Note that des-cbc-md4 uses md5, not md4, in the PRF definition.
+
+ The des-cbc-md4 encryption algorithm is assigned the etype value two
+ (2).
+
+6.2.3. DES with CRC
+
+ The des-cbc-crc encryption type uses DES in CBC mode with the key
+ used as the initialization vector, with a four-octet CRC-based
+ checksum computed as described in section 6.1.3. Note that this is
+ not a standard CRC-32 checksum, but a slightly modified one.
+
+ des-cbc-crc
+ --------------------------------------------------------------------
+ protocol key format 8 bytes, parity in low bit of each
+
+ specific key structure copy of original key
+
+ required checksum rsa-md5-des
+ mechanism
+
+ key-generation seed 8 bytes
+ length
+
+ cipher state 8 bytes (CBC initial vector)
+
+
+
+
+
+
+Raeburn Standards Track [Page 24]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ des-cbc-crc
+ --------------------------------------------------------------------
+ initial cipher state copy of original key
+
+ encryption function des-cbc(confounder | checksum | msg | pad,
+ ivec=oldstate)
+ where
+ checksum = crc(confounder | 00000000
+ | msg | pad)
+
+ newstate = last block of des-cbc output
+
+ decryption function decrypt encrypted text and verify checksum
+
+ newstate = last block of ciphertext
+
+ default string-to-key empty string
+ params
+
+ pseudo-random function des-cbc(md5(input-string), ivec=0)
+
+ key generation functions:
+
+ string-to-key des_string_to_key
+
+ random-to-key copy input, then fix parity bits
+
+ key-derivation identity
+
+ The des-cbc-crc encryption algorithm is assigned the etype value one
+ (1).
+
+6.2.4. RSA MD5 Cryptographic Checksum Using DES
+
+ The RSA-MD5-DES checksum calculates a keyed collision-proof checksum
+ by prepending an eight octet confounder before the text, applying the
+ RSA MD5 checksum algorithm, and encrypting the confounder and the
+ checksum by using DES in cipher-block-chaining (CBC) mode with a
+ variant of the key, where the variant is computed by eXclusive-ORing
+ the key with the hexadecimal constant 0xF0F0F0F0F0F0F0F0. The
+ initialization vector should be zero. The resulting checksum is 24
+ octets long.
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 25]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ rsa-md5-des
+ ----------------------------------------------------------------
+ associated cryptosystem des-cbc-md5, des-cbc-md4, des-cbc-crc
+
+ get_mic des-cbc(key XOR 0xF0F0F0F0F0F0F0F0,
+ conf | rsa-md5(conf | msg))
+
+ verify_mic decrypt and verify rsa-md5 checksum
+
+ The rsa-md5-des checksum algorithm is assigned a checksum type number
+ of eight (8).
+
+6.2.5. RSA MD4 Cryptographic Checksum Using DES
+
+ The RSA-MD4-DES checksum calculates a keyed collision-proof checksum
+ by prepending an eight octet confounder before the text, applying the
+ RSA MD4 checksum algorithm [MD4-92], and encrypting the confounder
+ and the checksum using DES in cipher-block-chaining (CBC) mode with a
+ variant of the key, where the variant is computed by eXclusive-ORing
+ the key with the constant 0xF0F0F0F0F0F0F0F0 [7]. The initialization
+ vector should be zero. The resulting checksum is 24 octets long.
+
+ rsa-md4-des
+ ----------------------------------------------------------------
+ associated cryptosystem des-cbc-md5, des-cbc-md4, des-cbc-crc
+
+ get_mic des-cbc(key XOR 0xF0F0F0F0F0F0F0F0,
+ conf | rsa-md4(conf | msg),
+ ivec=0)
+
+ verify_mic decrypt and verify rsa-md4 checksum
+
+ The rsa-md4-des checksum algorithm is assigned a checksum type number
+ of three (3).
+
+6.2.6. RSA MD4 Cryptographic Checksum Using DES Alternative
+
+ The RSA-MD4-DES-K checksum calculates a keyed collision-proof
+ checksum by applying the RSA MD4 checksum algorithm and encrypting
+ the results by using DES in cipher block chaining (CBC) mode with a
+ DES key as both key and initialization vector. The resulting
+ checksum is 16 octets long. This checksum is tamper-proof and
+ believed to be collision-proof. Note that this checksum type is the
+ old method for encoding the RSA-MD4-DES checksum; it is no longer
+ recommended.
+
+
+
+
+
+
+Raeburn Standards Track [Page 26]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ rsa-md4-des-k
+ ----------------------------------------------------------------
+ associated cryptosystem des-cbc-md5, des-cbc-md4, des-cbc-crc
+
+ get_mic des-cbc(key, md4(msg), ivec=key)
+
+ verify_mic decrypt, compute checksum and compare
+
+ The rsa-md4-des-k checksum algorithm is assigned a checksum type
+ number of six (6).
+
+6.2.7. DES CBC Checksum
+
+ The DES-MAC checksum is computed by prepending an eight octet
+ confounder to the plaintext, padding with zero-valued octets if
+ necessary to bring the length to a multiple of eight octets,
+ performing a DES CBC-mode encryption on the result by using the key
+ and an initialization vector of zero, taking the last block of the
+ ciphertext, prepending the same confounder, and encrypting the pair
+ by using DES in cipher-block-chaining (CBC) mode with a variant of
+ the key, where the variant is computed by eXclusive-ORing the key
+ with the constant 0xF0F0F0F0F0F0F0F0. The initialization vector
+ should be zero. The resulting checksum is 128 bits (sixteen octets)
+ long, 64 bits of which are redundant. This checksum is tamper-proof
+ and collision-proof.
+
+ des-mac
+ ---------------------------------------------------------------------
+ associated des-cbc-md5, des-cbc-md4, des-cbc-crc
+ cryptosystem
+
+ get_mic des-cbc(key XOR 0xF0F0F0F0F0F0F0F0,
+ conf | des-mac(key, conf | msg | pad, ivec=0),
+ ivec=0)
+
+ verify_mic decrypt, compute DES MAC using confounder, compare
+
+ The des-mac checksum algorithm is assigned a checksum type number of
+ four (4).
+
+6.2.8. DES CBC Checksum Alternative
+
+ The DES-MAC-K checksum is computed by performing a DES CBC-mode
+ encryption of the plaintext, with zero-valued padding bytes if
+ necessary to bring the length to a multiple of eight octets, and by
+ using the last block of the ciphertext as the checksum value. It is
+ keyed with an encryption key that is also used as the initialization
+ vector. The resulting checksum is 64 bits (eight octets) long. This
+
+
+
+Raeburn Standards Track [Page 27]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ checksum is tamper-proof and collision-proof. Note that this
+ checksum type is the old method for encoding the DESMAC checksum; it
+ is no longer recommended.
+
+ des-mac-k
+ ----------------------------------------------------------------
+ associated cryptosystem des-cbc-md5, des-cbc-md4, des-cbc-crc
+
+ get_mic des-mac(key, msg | pad, ivec=key)
+
+ verify_mic compute MAC and compare
+
+ The des-mac-k checksum algorithm is assigned a checksum type number
+ of five (5).
+
+6.3. Triple-DES Based Encryption and Checksum Types
+
+ This encryption and checksum type pair is based on the Triple DES
+ cryptosystem in Outer-CBC mode and on the HMAC-SHA1 message
+ authentication algorithm.
+
+ A Triple DES key is the concatenation of three DES keys as described
+ above for des-cbc-md5. A Triple DES key is generated from random
+ data by creating three DES keys from separate sequences of random
+ data.
+
+ Encrypted data using this type must be generated as described in
+ section 5.3. If the length of the input data is not a multiple of
+ the block size, zero-valued octets must be used to pad the plaintext
+ to the next eight-octet boundary. The confounder must be eight
+ random octets (one block).
+
+ The simplified profile for Triple DES, with key derivation as defined
+ in section 5, is as follows:
+
+ des3-cbc-hmac-sha1-kd, hmac-sha1-des3-kd
+ ------------------------------------------------
+ protocol key format 24 bytes, parity in low
+ bit of each
+
+ key-generation seed 21 bytes
+ length
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 28]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ des3-cbc-hmac-sha1-kd, hmac-sha1-des3-kd
+ ------------------------------------------------
+ hash function SHA-1
+
+ HMAC output size 160 bits
+
+ message block size 8 bytes
+
+ default string-to-key empty string
+ params
+
+ encryption and triple-DES encrypt and
+ decryption functions decrypt, in outer-CBC
+ mode (cipher block size
+ 8 octets)
+
+ key generation functions:
+
+ random-to-key DES3random-to-key (see
+ below)
+
+ string-to-key DES3string-to-key (see
+ below)
+
+ The des3-cbc-hmac-sha1-kd encryption type is assigned the value
+ sixteen (16). The hmac-sha1-des3-kd checksum algorithm is assigned a
+ checksum type number of twelve (12).
+
+6.3.1. Triple DES Key Production (random-to-key, string-to-key)
+
+ The 168 bits of random key data are converted to a protocol key value
+ as follows. First, the 168 bits are divided into three groups of 56
+ bits, which are expanded individually into 64 bits as follows:
+
+ DES3random-to-key:
+ 1 2 3 4 5 6 7 p
+ 9 10 11 12 13 14 15 p
+ 17 18 19 20 21 22 23 p
+ 25 26 27 28 29 30 31 p
+ 33 34 35 36 37 38 39 p
+ 41 42 43 44 45 46 47 p
+ 49 50 51 52 53 54 55 p
+ 56 48 40 32 24 16 8 p
+
+ The "p" bits are parity bits computed over the data bits. The output
+ of the three expansions, each corrected to avoid "weak" and "semi-
+ weak" keys as in section 6.2, are concatenated to form the protocol
+ key value.
+
+
+
+Raeburn Standards Track [Page 29]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ The string-to-key function is used to transform UTF-8 passwords into
+ DES3 keys. The DES3 string-to-key function relies on the "N-fold"
+ algorithm and DK function, described in section 5.
+
+ The n-fold algorithm is applied to the password string concatenated
+ with a salt value. For 3-key triple DES, the operation will involve
+ a 168-fold of the input password string, to generate an intermediate
+ key, from which the user's long-term key will be derived with the DK
+ function. The DES3 string-to-key function is shown here in
+ pseudocode:
+
+ DES3string-to-key(passwordString, salt, params)
+ if (params != emptyString)
+ error("invalid params");
+ s = passwordString + salt
+ tmpKey = random-to-key(168-fold(s))
+ key = DK (tmpKey, KerberosConstant)
+
+ Weak key checking is performed in the random-to-key and DK
+ operations. The KerberosConstant value is the byte string {0x6b 0x65
+ 0x72 0x62 0x65 0x72 0x6f 0x73}. These values correspond to the ASCII
+ encoding for the string "kerberos".
+
+7. Use of Kerberos Encryption Outside This Specification
+
+ Several Kerberos-based application protocols and preauthentication
+ systems have been designed and deployed that perform encryption and
+ message integrity checks in various ways. Although in some cases
+ there may be good reason for specifying these protocols in terms of
+ specific encryption or checksum algorithms, we anticipate that in
+ many cases this will not be true, and more generic approaches
+ independent of particular algorithms will be desirable. Rather than
+ have each protocol designer reinvent schemes for protecting data,
+ using multiple keys, etc., we have attempted to present in this
+ section a general framework that should be sufficient not only for
+ the Kerberos protocol itself but also for many preauthentication
+ systems and application protocols, while trying to avoid some of the
+ assumptions that can work their way into such protocol designs.
+
+ Some problematic assumptions we've seen (and sometimes made) include
+ the following: a random bitstring is always valid as a key (not true
+ for DES keys with parity); the basic block encryption chaining mode
+ provides no integrity checking, or can easily be separated from such
+ checking (not true for many modes in development that do both
+ simultaneously); a checksum for a message always results in the same
+ value (not true if a confounder is incorporated); an initial vector
+ is used (may not be true if a block cipher in CBC mode is not in
+ use).
+
+
+
+Raeburn Standards Track [Page 30]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Although such assumptions the may hold for any given set of
+ encryption and checksum algorithms, they may not be true of the next
+ algorithms to be defined, leaving the application protocol unable to
+ make use of those algorithms without updates to its specification.
+
+ The Kerberos protocol uses only the attributes and operations
+ described in sections 3 and 4. Preauthentication systems and
+ application protocols making use of Kerberos are encouraged to use
+ them as well. The specific key and string-to-key parameters should
+ generally be treated as opaque. Although the string-to-key
+ parameters are manipulated as an octet string, the representation for
+ the specific key structure is implementation defined; it may not even
+ be a single object.
+
+ We don't recommend doing so, but some application protocols will
+ undoubtedly continue to use the key data directly, even if only in
+ some of the currently existing protocol specifications. An
+ implementation intended to support general Kerberos applications may
+ therefore need to make the key data available, as well as the
+ attributes and operations described in sections 3 and 4 [8].
+
+8. Assigned Numbers
+
+ The following encryption-type numbers are already assigned or
+ reserved for use in Kerberos and related protocols.
+
+ encryption type etype section or comment
+ -----------------------------------------------------------------
+ des-cbc-crc 1 6.2.3
+ des-cbc-md4 2 6.2.2
+ des-cbc-md5 3 6.2.1
+ [reserved] 4
+ des3-cbc-md5 5
+ [reserved] 6
+ des3-cbc-sha1 7
+ dsaWithSHA1-CmsOID 9 (pkinit)
+ md5WithRSAEncryption-CmsOID 10 (pkinit)
+ sha1WithRSAEncryption-CmsOID 11 (pkinit)
+ rc2CBC-EnvOID 12 (pkinit)
+ rsaEncryption-EnvOID 13 (pkinit from PKCS#1 v1.5)
+ rsaES-OAEP-ENV-OID 14 (pkinit from PKCS#1 v2.0)
+ des-ede3-cbc-Env-OID 15 (pkinit)
+ des3-cbc-sha1-kd 16 6.3
+ aes128-cts-hmac-sha1-96 17 [KRB5-AES]
+ aes256-cts-hmac-sha1-96 18 [KRB5-AES]
+ rc4-hmac 23 (Microsoft)
+ rc4-hmac-exp 24 (Microsoft)
+ subkey-keymaterial 65 (opaque; PacketCable)
+
+
+
+Raeburn Standards Track [Page 31]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ (The "des3-cbc-sha1" assignment is a deprecated version using no key
+ derivation. It should not be confused with des3-cbc-sha1-kd.)
+
+ Several numbers have been reserved for use in encryption systems not
+ defined here. Encryption-type numbers have unfortunately been
+ overloaded on occasion in Kerberos-related protocols, so some of the
+ reserved numbers do not and will not correspond to encryption systems
+ fitting the profile presented here.
+
+ The following checksum-type numbers are assigned or reserved. As
+ with encryption-type numbers, some overloading of checksum numbers
+ has occurred.
+
+ Checksum type sumtype checksum section or
+ value size reference
+ ---------------------------------------------------------------------
+ CRC32 1 4 6.1.3
+ rsa-md4 2 16 6.1.2
+ rsa-md4-des 3 24 6.2.5
+ des-mac 4 16 6.2.7
+ des-mac-k 5 8 6.2.8
+ rsa-md4-des-k 6 16 6.2.6
+ rsa-md5 7 16 6.1.1
+ rsa-md5-des 8 24 6.2.4
+ rsa-md5-des3 9 24 ??
+ sha1 (unkeyed) 10 20 ??
+ hmac-sha1-des3-kd 12 20 6.3
+ hmac-sha1-des3 13 20 ??
+ sha1 (unkeyed) 14 20 ??
+ hmac-sha1-96-aes128 15 20 [KRB5-AES]
+ hmac-sha1-96-aes256 16 20 [KRB5-AES]
+ [reserved] 0x8003 ? [GSS-KRB5]
+
+ Encryption and checksum-type numbers are signed 32-bit values. Zero
+ is invalid, and negative numbers are reserved for local use. All
+ standardized values must be positive.
+
+9. Implementation Notes
+
+ The "interface" described here is the minimal information that must
+ be defined to make a cryptosystem useful within Kerberos in an
+ interoperable fashion. The use of functional notation used in some
+ places is not an attempt to define an API for cryptographic
+ functionality within Kerberos. Actual implementations providing
+ clean APIs will probably make additional information available, that
+ could be derived from a specification written to the framework given
+ here. For example, an application designer may wish to determine the
+ largest number of bytes that can be encrypted without overflowing a
+
+
+
+Raeburn Standards Track [Page 32]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ certain size output buffer or conversely, the maximum number of bytes
+ that might be obtained by decrypting a ciphertext message of a given
+ size. (In fact, an implementation of the GSS-API Kerberos mechanism
+ [GSS-KRB5] will require some of these.)
+
+ The presence of a mechanism in this document should not be taken to
+ indicate that it must be implemented for compliance with any
+ specification; required mechanisms will be specified elsewhere.
+ Indeed, some of the mechanisms described here for backward
+ compatibility are now considered rather weak for protecting critical
+ data.
+
+10. Security Considerations
+
+ Recent years have brought so many advancements in large-scale attacks
+ capability against DES that it is no longer considered a strong
+ encryption mechanism. Triple-DES is generally preferred in its
+ place, despite its poorer performance. See [ESP-DES] for a summary
+ of some of the potential attacks and [EFF-DES] for a detailed
+ discussion of the implementation of particular attacks. However,
+ most Kerberos implementations still have DES as their primary
+ interoperable encryption type.
+
+ DES has four 'weak' keys and twelve 'semi-weak' keys, and the use of
+ single-DES here avoids them. However, DES also has 48 'possibly-
+ weak' keys [Schneier96] (note that the tables in many editions of the
+ reference contains errors) that are not avoided.
+
+ DES weak keys have the property that E1(E1(P)) = P (where E1 denotes
+ encryption of a single block with key 1). DES semi-weak keys, or
+ "dual" keys, are pairs of keys with the property that E1(P) = D2(P),
+ and thus E2(E1(P)) = P. Because of the use of CBC mode and the
+ leading random confounder, however, these properties are unlikely to
+ present a security problem.
+
+ Many of the choices concerning when to perform weak-key corrections
+ relate more to compatibility with existing implementations than to
+ any risk analysis.
+
+ Although checks are also done for the component DES keys in a
+ triple-DES key, the nature of the weak keys make it extremely
+ unlikely that they will weaken the triple-DES encryption. It is only
+ slightly more likely than having the middle of the three sub-keys
+ match one of the other two, which effectively converts the encryption
+ to single-DES - a case we make no effort to avoid.
+
+
+
+
+
+
+Raeburn Standards Track [Page 33]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ The true CRC-32 checksum is not collision-proof; an attacker could
+ use a probabilistic chosen-plaintext attack to generate a valid
+ message even if a confounder is used [SG92]. The use of collision-
+ proof checksums is of course recommended for environments where such
+ attacks represent a significant threat. The "simplifications" (read:
+ bugs) introduced when CRC-32 was implemented for Kerberos cause
+ leading zeros effectively to be ignored, so messages differing only
+ in leading zero bits will have the same checksum.
+
+ [HMAC] and [IPSEC-HMAC] discuss weaknesses of the HMAC algorithm.
+ Unlike [IPSEC-HMAC], the triple-DES specification here does not use
+ the suggested truncation of the HMAC output. As pointed out in
+ [IPSEC-HMAC], SHA-1 was not developed for use as a keyed hash
+ function, which is a criterion of HMAC. [HMAC-TEST] contains test
+ vectors for HMAC-SHA-1.
+
+ The mit_des_string_to_key function was originally constructed with
+ the assumption that all input would be ASCII; it ignores the top bit
+ of each input byte. Folding with XOR is also not an especially good
+ mixing mechanism for preserving randomness.
+
+ The n-fold function used in the string-to-key operation for des3-
+ cbc-hmac-sha1-kd was designed to cause each bit of input to
+ contribute equally to the output. It was not designed to maximize or
+ equally distribute randomness in the input, and conceivably
+ randomness may be lost in cases of partially structured input. This
+ should only be an issue for highly structured passwords, however.
+
+ [RFC1851] discusses the relative strength of triple-DES encryption.
+ The relatively slow speed of triple-DES encryption may also be an
+ issue for some applications.
+
+ [Bellovin91] suggests that analyses of encryption schemes include a
+ model of an attacker capable of submitting known plaintexts to be
+ encrypted with an unknown key, as well as be able to perform many
+ types of operations on known protocol messages. Recent experiences
+ with the chosen-plaintext attacks on Kerberos version 4 bear out the
+ value of this suggestion.
+
+ The use of unkeyed encrypted checksums, such as those used in the
+ single-DES cryptosystems specified in [Kerb1510], allows for cut-
+ and-paste attacks, especially if a confounder is not used. In
+ addition, unkeyed encrypted checksums are vulnerable to chosen-
+ plaintext attacks: An attacker with access to an encryption oracle
+ can easily encrypt the required unkeyed checksum along with the
+
+
+
+
+
+
+Raeburn Standards Track [Page 34]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ chosen plaintext. [Bellovin99] These weaknesses, combined with a
+ common implementation design choice described below, allow for a
+ cross-protocol attack from version 4 to version 5.
+
+ The use of a random confounder is an important means to prevent an
+ attacker from making effective use of protocol exchanges as an
+ encryption oracle. In Kerberos version 4, the encryption of constant
+ plaintext to constant ciphertext makes an effective encryption oracle
+ for an attacker. The use of random confounders in [Kerb1510]
+ frustrates this sort of chosen-plaintext attack.
+
+ Using the same key for multiple purposes can enable or increase the
+ scope of chosen-plaintext attacks. Some software that implements
+ both versions 4 and 5 of the Kerberos protocol uses the same keys for
+ both versions. This enables the encryption oracle of version 4 to be
+ used to attack version 5. Vulnerabilities to attacks such as this
+ cross-protocol attack make it unwise to use a key for multiple
+ purposes.
+
+ This document, like the Kerberos protocol, does not address limiting
+ the amount of data a key may be used with to a quantity based on the
+ robustness of the algorithm or size of the key. It is assumed that
+ any defined algorithms and key sizes will be strong enough to support
+ very large amounts of data, or they will be deprecated once
+ significant attacks are known.
+
+ This document also places no bounds on the amount of data that can be
+ handled in various operations. To avoid denial of service attacks,
+ implementations will probably seek to restrict message sizes at some
+ higher level.
+
+11. IANA Considerations
+
+ Two registries for numeric values have been created: Kerberos
+ Encryption Type Numbers and Kerberos Checksum Type Numbers. These
+ are signed values ranging from -2147483648 to 2147483647. Positive
+ values should be assigned only for algorithms specified in accordance
+ with this specification for use with Kerberos or related protocols.
+ Negative values are for private use; local and experimental
+ algorithms should use these values. Zero is reserved and may not be
+ assigned.
+
+ Positive encryption- and checksum-type numbers may be assigned
+ following either of two policies described in [BCP26].
+
+ Standards-track specifications may be assigned values under the
+ Standards Action policy.
+
+
+
+
+Raeburn Standards Track [Page 35]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Specifications in non-standards track RFCs may be assigned values
+ after Expert Review. A non-IETF specification may be assigned values
+ by publishing an Informational or standards-track RFC referencing the
+ external specification; that specification must be public and
+ published in some permanent record, much like the IETF RFCs. It is
+ highly desirable, though not required, that the full specification be
+ published as an IETF RFC.
+
+ Smaller encryption type values should be used for IETF standards-
+ track mechanisms, and much higher values (16777216 and above) for
+ other mechanisms. (Rationale: In the Kerberos ASN.1 encoding,
+ smaller numbers encode to smaller octet sequences, so this favors
+ standards-track mechanisms with slightly smaller messages.) Aside
+ from that guideline, IANA may choose numbers as it sees fit.
+
+ Internet-Draft specifications should not include values for
+ encryption- and checksum-type numbers. Instead, they should indicate
+ that values would be assigned by IANA when the document is approved
+ as an RFC. For development and interoperability testing, values in
+ the private-use range (negative values) may be used but should not be
+ included in the draft specification.
+
+ Each registered value should have an associated unique reference
+ name. The lists given in section 8 were used to create the initial
+ registry; they include reservations for specifications in progress in
+ parallel with this document, and certain other values believed to
+ already be in use.
+
+12. Acknowledgements
+
+ This document is an extension of the encryption specification
+ included in [Kerb1510] by B. Clifford Neuman and John Kohl, and much
+ of the text of the background, concepts, and DES specifications is
+ drawn directly from that document.
+
+ The abstract framework presented in this document was put together by
+ Jeff Altman, Sam Hartman, Jeff Hutzelman, Cliff Neuman, Ken Raeburn,
+ and Tom Yu, and the details were refined several times based on
+ comments from John Brezak and others.
+
+ Marc Horowitz wrote the original specification of triple-DES and key
+ derivation in a pair of Internet-Drafts (under the names draft-
+ horowitz-key-derivation and draft-horowitz-kerb-key-derivation) that
+ were later folded into a draft revision of [Kerb1510], from which
+ this document was later split off.
+
+
+
+
+
+
+Raeburn Standards Track [Page 36]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ Tom Yu provided the text describing the modifications to the standard
+ CRC algorithm as Kerberos implementations actually use it, and some
+ of the text in the Security Considerations section.
+
+ Miroslav Jurisic provided information for one of the UTF-8 test cases
+ for the string-to-key functions.
+
+ Marcus Watts noticed some errors in earlier versions and pointed out
+ that the simplified profile could easily be modified to support
+ cipher text stealing modes.
+
+ Simon Josefsson contributed some clarifications to the DES "CBC
+ checksum" and string-to-key and weak key descriptions, and some test
+ vectors.
+
+ Simon Josefsson, Louis LeVay, and others also caught some errors in
+ earlier versions of this document.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 37]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+A. Test Vectors
+
+ This section provides test vectors for various functions defined or
+ described in this document. For convenience, most inputs are ASCII
+ strings, though some UTF-8 samples are provided for string-to-key
+ functions. Keys and other binary data are specified as hexadecimal
+ strings.
+
+A.1. n-fold
+
+ The n-fold function is defined in section 5.1. As noted there, the
+ sample vector in the original paper defining the algorithm appears to
+ be incorrect. Here are some test cases provided by Marc Horowitz and
+ Simon Josefsson:
+
+ 64-fold("012345") =
+ 64-fold(303132333435) = be072631276b1955
+
+ 56-fold("password") =
+ 56-fold(70617373776f7264) = 78a07b6caf85fa
+
+ 64-fold("Rough Consensus, and Running Code") =
+ 64-fold(526f75676820436f6e73656e7375732c20616e642052756e
+ 6e696e6720436f6465) = bb6ed30870b7f0e0
+
+ 168-fold("password") =
+ 168-fold(70617373776f7264) =
+ 59e4a8ca7c0385c3c37b3f6d2000247cb6e6bd5b3e
+
+ 192-fold("MASSACHVSETTS INSTITVTE OF TECHNOLOGY")
+ 192-fold(4d41535341434856534554545320494e5354495456544520
+ 4f4620544543484e4f4c4f4759) =
+ db3b0d8f0b061e603282b308a50841229ad798fab9540c1b
+
+ 168-fold("Q") =
+ 168-fold(51) =
+ 518a54a2 15a8452a 518a54a2 15a8452a
+ 518a54a2 15
+
+ 168-fold("ba") =
+ 168-fold(6261) =
+ fb25d531 ae897449 9f52fd92 ea9857c4
+ ba24cf29 7e
+
+ Here are some additional values corresponding to folded values of the
+ string "kerberos"; the 64-bit form is used in the des3 string-to-key
+ (section 6.3.1).
+
+
+
+
+Raeburn Standards Track [Page 38]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ 64-fold("kerberos") =
+ 6b657262 65726f73
+ 128-fold("kerberos") =
+ 6b657262 65726f73 7b9b5b2b 93132b93
+ 168-fold("kerberos") =
+ 8372c236 344e5f15 50cd0747 e15d62ca
+ 7a5a3bce a4
+ 256-fold("kerberos") =
+ 6b657262 65726f73 7b9b5b2b 93132b93
+ 5c9bdcda d95c9899 c4cae4de e6d6cae4
+
+ Note that the initial octets exactly match the input string when the
+ output length is a multiple of the input length.
+
+A.2. mit_des_string_to_key
+
+ The function mit_des_string_to_key is defined in section 6.2. We
+ present here several test values, with some of the intermediate
+ results. The fourth test demonstrates the use of UTF-8 with three
+ characters. The last two tests are specifically constructed so as to
+ trigger the weak-key fixups for the intermediate key produced by
+ fan-folding; we have no test cases that cause such fixups for the
+ final key.
+
+UTF-8 encodings used in test vector:
+eszett U+00DF C3 9F s-caron U+0161 C5 A1
+c-acute U+0107 C4 87 g-clef U+1011E F0 9D 84 9E
+
+Test vector:
+
+salt: "ATHENA.MIT.EDUraeburn"
+ 415448454e412e4d49542e4544557261656275726e
+password: "password" 70617373776f7264
+fan-fold result: c01e38688ac86c2e
+intermediate key: c11f38688ac86d2f
+DES key: cbc22fae235298e3
+
+salt: "WHITEHOUSE.GOVdanny"
+ 5748495445484f5553452e474f5664616e6e79
+password: "potatoe" 706f7461746f65
+fan-fold result: a028944ee63c0416
+intermediate key: a129944fe63d0416
+DES key: df3d32a74fd92a01
+
+salt: "EXAMPLE.COMpianist" 4558414D504C452E434F4D7069616E697374
+password: g-clef (U+1011E) f09d849e
+fan-fold result: 3c4a262c18fab090
+intermediate key: 3d4a262c19fbb091
+
+
+
+Raeburn Standards Track [Page 39]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+DES key: 4ffb26bab0cd9413
+
+salt: "ATHENA.MIT.EDUJuri" + s-caron(U+0161) + "i" + c-acute(U+0107)
+ 415448454e412e4d49542e4544554a757269c5a169c487
+password: eszett(U+00DF)
+ c39f
+fan-fold result:b8f6c40e305afc9e
+intermediate key: b9f7c40e315bfd9e
+DES key: 62c81a5232b5e69d
+
+salt: "AAAAAAAA" 4141414141414141
+password: "11119999" 3131313139393939
+fan-fold result: e0e0e0e0f0f0f0f0
+intermediate key: e0e0e0e0f1f1f101
+DES key: 984054d0f1a73e31
+
+salt: "FFFFAAAA" 4646464641414141
+password: "NNNN6666" 4e4e4e4e36363636
+fan-fold result: 1e1e1e1e0e0e0e0e
+intermediate key: 1f1f1f1f0e0e0efe
+DES key: c4bf6b25adf7a4f8
+
+ This trace provided by Simon Josefsson shows the intermediate
+ processing stages of one of the test inputs:
+
+ string_to_key (des-cbc-md5, string, salt)
+ ;; string:
+ ;; `password' (length 8 bytes)
+ ;; 70 61 73 73 77 6f 72 64
+ ;; salt:
+ ;; `ATHENA.MIT.EDUraeburn' (length 21 bytes)
+ ;; 41 54 48 45 4e 41 2e 4d 49 54 2e 45 44 55 72 61
+ ;; 65 62 75 72 6e
+ des_string_to_key (string, salt)
+ ;; String:
+ ;; `password' (length 8 bytes)
+ ;; 70 61 73 73 77 6f 72 64
+ ;; Salt:
+ ;; `ATHENA.MIT.EDUraeburn' (length 21 bytes)
+ ;; 41 54 48 45 4e 41 2e 4d 49 54 2e 45 44 55 72 61
+ ;; 65 62 75 72 6e
+ odd = 1;
+ s = string | salt;
+ tempstring = 0; /* 56-bit string */
+ pad(s); /* with nulls to 8 byte boundary */
+ ;; s = pad(string|salt):
+ ;; `passwordATHENA.MIT.EDUraeburn\x00\x00\x00'
+ ;; (length 32 bytes)
+
+
+
+Raeburn Standards Track [Page 40]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ ;; 70 61 73 73 77 6f 72 64 41 54 48 45 4e 41 2e 4d
+ ;; 49 54 2e 45 44 55 72 61 65 62 75 72 6e 00 00 00
+ for (8byteblock in s) {
+ ;; loop iteration 0
+ ;; 8byteblock:
+ ;; `password' (length 8 bytes)
+ ;; 70 61 73 73 77 6f 72 64
+ ;; 01110000 01100001 01110011 01110011 01110111 01101111
+ ;; 01110010 01100100
+ 56bitstring = removeMSBits(8byteblock);
+ ;; 56bitstring:
+ ;; 1110000 1100001 1110011 1110011 1110111 1101111
+ ;; 1110010 1100100
+ if (odd == 0) reverse(56bitstring); ;; odd=1
+ odd = ! odd
+ tempstring = tempstring XOR 56bitstring;
+ ;; tempstring
+ ;; 1110000 1100001 1110011 1110011 1110111 1101111
+ ;; 1110010 1100100
+
+ for (8byteblock in s) {
+ ;; loop iteration 1
+ ;; 8byteblock:
+ ;; `ATHENA.M' (length 8 bytes)
+ ;; 41 54 48 45 4e 41 2e 4d
+ ;; 01000001 01010100 01001000 01000101 01001110 01000001
+ ;; 00101110 01001101
+ 56bitstring = removeMSBits(8byteblock);
+ ;; 56bitstring:
+ ;; 1000001 1010100 1001000 1000101 1001110 1000001
+ ;; 0101110 1001101
+ if (odd == 0) reverse(56bitstring); ;; odd=0
+ reverse(56bitstring)
+ ;; 56bitstring after reverse
+ ;; 1011001 0111010 1000001 0111001 1010001 0001001
+ ;; 0010101 1000001
+ odd = ! odd
+ tempstring = tempstring XOR 56bitstring;
+ ;; tempstring
+ ;; 0101001 1011011 0110010 1001010 0100110 1100110
+ ;; 1100111 0100101
+
+ for (8byteblock in s) {
+ ;; loop iteration 2
+ ;; 8byteblock:
+ ;; `IT.EDUra' (length 8 bytes)
+ ;; 49 54 2e 45 44 55 72 61
+ ;; 01001001 01010100 00101110 01000101 01000100 01010101
+
+
+
+Raeburn Standards Track [Page 41]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ ;; 01110010 01100001
+ 56bitstring = removeMSBits(8byteblock);
+ ;; 56bitstring:
+ ;; 1001001 1010100 0101110 1000101 1000100 1010101
+ ;; 1110010 1100001
+ if (odd == 0) reverse(56bitstring); ;; odd=1
+ odd = ! odd
+ tempstring = tempstring XOR 56bitstring;
+ ;; tempstring
+ ;; 1100000 0001111 0011100 0001111 1100010 0110011
+ ;; 0010101 1000100
+
+ for (8byteblock in s) {
+ ;; loop iteration 3
+ ;; 8byteblock:
+ ;; `eburn\x00\x00\x00' (length 8 bytes)
+ ;; 65 62 75 72 6e 00 00 00
+ ;; 01100101 01100010 01110101 01110010 01101110 00000000
+ ;; 00000000 00000000
+ 56bitstring = removeMSBits(8byteblock);
+ ;; 56bitstring:
+ ;; 1100101 1100010 1110101 1110010 1101110 0000000
+ ;; 0000000 0000000
+ if (odd == 0) reverse(56bitstring); ;; odd=0
+ reverse(56bitstring)
+ ;; 56bitstring after reverse
+ ;; 0000000 0000000 0000000 0111011 0100111 1010111
+ ;; 0100011 1010011
+ odd = ! odd
+ tempstring = tempstring XOR 56bitstring;
+ ;; tempstring
+ ;; 1100000 0001111 0011100 0110100 1000101 1100100
+ ;; 0110110 0010111
+
+ for (8byteblock in s) {
+ }
+ ;; for loop terminated
+
+ tempkey = key_correction(add_parity_bits(tempstring));
+ ;; tempkey
+ ;; `\xc1\x1f8h\x8a\xc8m\x2f' (length 8 bytes)
+ ;; c1 1f 38 68 8a c8 6d 2f
+ ;; 11000001 00011111 00111000 01101000 10001010 11001000
+ ;; 01101101 00101111
+
+ key = key_correction(DES-CBC-check(s,tempkey));
+ ;; key
+ ;; `\xcb\xc2\x2f\xae\x23R\x98\xe3' (length 8 bytes)
+
+
+
+Raeburn Standards Track [Page 42]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ ;; cb c2 2f ae 23 52 98 e3
+ ;; 11001011 11000010 00101111 10101110 00100011 01010010
+ ;; 10011000 11100011
+
+ ;; string_to_key key:
+ ;; `\xcb\xc2\x2f\xae\x23R\x98\xe3' (length 8 bytes)
+ ;; cb c2 2f ae 23 52 98 e3
+
+A.3. DES3 DR and DK
+
+ These tests show the derived-random and derived-key values for the
+ des3-hmac-sha1-kd encryption scheme, using the DR and DK functions
+ defined in section 6.3.1. The input keys were randomly generated;
+ the usage values are from this specification.
+
+ key: dce06b1f64c857a11c3db57c51899b2cc1791008ce973b92
+ usage: 0000000155
+ DR: 935079d14490a75c3093c4a6e8c3b049c71e6ee705
+ DK: 925179d04591a79b5d3192c4a7e9c289b049c71f6ee604cd
+
+ key: 5e13d31c70ef765746578531cb51c15bf11ca82c97cee9f2
+ usage: 00000001aa
+ DR: 9f58e5a047d894101c469845d67ae3c5249ed812f2
+ DK: 9e58e5a146d9942a101c469845d67a20e3c4259ed913f207
+
+ key: 98e6fd8a04a4b6859b75a176540b9752bad3ecd610a252bc
+ usage: 0000000155
+ DR: 12fff90c773f956d13fc2ca0d0840349dbd39908eb
+ DK: 13fef80d763e94ec6d13fd2ca1d085070249dad39808eabf
+
+ key: 622aec25a2fe2cad7094680b7c64940280084c1a7cec92b5
+ usage: 00000001aa
+ DR: f8debf05b097e7dc0603686aca35d91fd9a5516a70
+ DK: f8dfbf04b097e6d9dc0702686bcb3489d91fd9a4516b703e
+
+ key: d3f8298ccb166438dcb9b93ee5a7629286a491f838f802fb
+ usage: 6b65726265726f73 ("kerberos")
+ DR: 2270db565d2a3d64cfbfdc5305d4f778a6de42d9da
+ DK: 2370da575d2a3da864cebfdc5204d56df779a7df43d9da43
+
+ key: c1081649ada74362e6a1459d01dfd30d67c2234c940704da
+ usage: 0000000155
+ DR: 348056ec98fcc517171d2b4d7a9493af482d999175
+ DK: 348057ec98fdc48016161c2a4c7a943e92ae492c989175f7
+
+ key: 5d154af238f46713155719d55e2f1f790dd661f279a7917c
+ usage: 00000001aa
+ DR: a8818bc367dadacbe9a6c84627fb60c294b01215e5
+
+
+
+Raeburn Standards Track [Page 43]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ DK: a8808ac267dada3dcbe9a7c84626fbc761c294b01315e5c1
+
+ key: 798562e049852f57dc8c343ba17f2ca1d97394efc8adc443
+ usage: 0000000155
+ DR: c813f88b3be2b2f75424ce9175fbc8483b88c8713a
+ DK: c813f88a3be3b334f75425ce9175fbe3c8493b89c8703b49
+
+ key: 26dce334b545292f2feab9a8701a89a4b99eb9942cecd016
+ usage: 00000001aa
+ DR: f58efc6f83f93e55e695fd252cf8fe59f7d5ba37ec
+ DK: f48ffd6e83f83e7354e694fd252cf83bfe58f7d5ba37ec5d
+
+A.4. DES3string_to_key
+
+ These are the keys generated for some of the above input strings for
+ triple-DES with key derivation as defined in section 6.3.1.
+
+ salt: "ATHENA.MIT.EDUraeburn"
+ passwd: "password"
+ key: 850bb51358548cd05e86768c313e3bfef7511937dcf72c3e
+
+ salt: "WHITEHOUSE.GOVdanny"
+ passwd: "potatoe"
+ key: dfcd233dd0a43204ea6dc437fb15e061b02979c1f74f377a
+
+ salt: "EXAMPLE.COMbuckaroo"
+ passwd: "penny"
+ key: 6d2fcdf2d6fbbc3ddcadb5da5710a23489b0d3b69d5d9d4a
+
+ salt: "ATHENA.MIT.EDUJuri" + s-caron(U+0161) + "i"
+ + c-acute(U+0107)
+ passwd: eszett(U+00DF)
+ key: 16d5a40e1ce3bacb61b9dce00470324c831973a7b952feb0
+
+ salt: "EXAMPLE.COMpianist"
+ passwd: g-clef(U+1011E)
+ key: 85763726585dbc1cce6ec43e1f751f07f1c4cbb098f40b19
+
+A.5. Modified CRC-32
+
+ Below are modified-CRC32 values for various ASCII and octet strings.
+ Only the printable ASCII characters are checksummed, without a C-
+ style trailing zero-valued octet. The 32-bit modified CRC and the
+ sequence of output bytes as used in Kerberos are shown. (The octet
+ values are separated here to emphasize that they are octet values and
+ not 32-bit numbers, which will be the most convenient form for
+ manipulation in some implementations. The bit and byte order used
+
+
+
+
+Raeburn Standards Track [Page 44]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ internally for such a number is irrelevant; the octet sequence
+ generated is what is important.)
+
+ mod-crc-32("foo") = 33 bc 32 73
+ mod-crc-32("test0123456789") = d6 88 3e b8
+ mod-crc-32("MASSACHVSETTS INSTITVTE OF TECHNOLOGY") = f7 80 41 e3
+ mod-crc-32(8000) = 4b 98 83 3b
+ mod-crc-32(0008) = 32 88 db 0e
+ mod-crc-32(0080) = 20 83 b8 ed
+ mod-crc-32(80) = 20 83 b8 ed
+ mod-crc-32(80000000) = 3b b6 59 ed
+ mod-crc-32(00000001) = 96 30 07 77
+
+B. Significant Changes from RFC 1510
+
+ The encryption and checksum mechanism profiles are new. The old
+ specification defined a few operations for various mechanisms but
+ didn't outline what abstract properties should be required of new
+ mechanisms, or how to ensure that a mechanism specification is
+ complete enough for interoperability between implementations. The
+ new profiles differ from the old specification in a few ways:
+
+ Some message definitions in [Kerb1510] could be read as permitting
+ the initial vector to be specified by the application; the text
+ was too vague. It is explicitly not permitted in this
+ specification. Some encryption algorithms may not use
+ initialization vectors, so relying on chosen, secret
+ initialization vectors for security is unwise. Also, the
+ prepended confounder in the existing algorithms is roughly
+ equivalent to a per-message initialization vector that is revealed
+ in encrypted form. However, carrying state across from one
+ encryption to another is explicitly permitted through the opaque
+ "cipher state" object.
+
+ The use of key derivation is new.
+
+ Several new methods are introduced, including generation of a key
+ in wire-protocol format from random input data.
+
+ The means for influencing the string-to-key algorithm are laid out
+ more clearly.
+
+ Triple-DES support is new.
+
+ The pseudo-random function is new.
+
+ The des-cbc-crc, DES string-to-key and CRC descriptions have been
+ updated to align them with existing implementations.
+
+
+
+Raeburn Standards Track [Page 45]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ [Kerb1510] did not indicate what character set or encoding might be
+ used for pass phrases and salts.
+
+ In [Kerb1510], key types, encryption algorithms, and checksum
+ algorithms were only loosely associated, and the association was not
+ well described. In this specification, key types and encryption
+ algorithms have a one-to-one correspondence, and associations between
+ encryption and checksum algorithms are described so that checksums
+ can be computed given negotiated keys, without requiring further
+ negotiation for checksum types.
+
+Notes
+
+ [1] Although Message Authentication Code (MAC) or Message Integrity
+ Check (MIC) would be more appropriate terms for many of the uses
+ in this document, we continue to use the term checksum for
+ historical reasons.
+
+ [2] Extending CBC mode across messages would be one obvious example
+ of this chaining. Another might be the use of counter mode, with
+ a counter randomly initialized and attached to the ciphertext; a
+ second message could continue incrementing the counter when
+ chaining the cipher state, thus avoiding having to transmit
+ another counter value. However, this chaining is only useful for
+ uninterrupted, ordered sequences of messages.
+
+ [3] In the case of Kerberos, the encrypted objects will generally be
+ ASN.1 DER encodings, which contain indications of their length in
+ the first few octets.
+
+ [4] As of the time of this writing, new modes of operation have been
+ proposed, some of which may permit encryption and integrity
+ protection simultaneously. After some of these proposals have
+ been subjected to adequate analysis, we may wish to formulate a
+ new simplified profile based on one of them.
+
+ [5] It should be noted that the sample vector in appendix B.2 of the
+ original paper appears to be incorrect. Two independent
+ implementations from the specification (one in C by Marc
+ Horowitz, and another in Scheme by Bill Sommerfeld) agree on a
+ value different from that in [Blumenthal96].
+
+ [6] For example, in MIT's implementation of [Kerb1510], the rsa-md5
+ unkeyed checksum of application data may be included in an
+ authenticator encrypted in a service's key.
+
+ [7] Using a variant of the key limits the use of a key to a
+ particular function, separating the functions of generating a
+
+
+
+Raeburn Standards Track [Page 46]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ checksum from other encryption performed using the session key.
+ The constant 0xF0F0F0F0F0F0F0F0 was chosen because it maintains
+ key parity. The properties of DES precluded the use of the
+ complement. The same constant is used for similar purpose in the
+ Message Integrity Check in the Privacy Enhanced Mail standard.
+
+ [8] Perhaps one of the more common reasons for directly performing
+ encryption is direct control over the negotiation and to select a
+ "sufficiently strong" encryption algorithm (whatever that means
+ in the context of a given application). Although Kerberos
+ directly provides no direct facility for negotiating encryption
+ types between the application client and server, there are other
+ means to accomplish similar goals (for example, requesting only
+ "strong" session key types from the KDC, and assuming that the
+ type actually returned by the KDC will be understood and
+ supported by the application server).
+
+Normative References
+
+ [BCP26] Narten, T. and H. Alvestrand, "Guidelines for Writing
+ an IANA Considerations Section in RFCs", BCP 26, RFC
+ 2434, October 1998.
+
+ [Bellare98] Bellare, M., Desai, A., Pointcheval, D., and P.
+ Rogaway, "Relations Among Notions of Security for
+ Public-Key Encryption Schemes". Extended abstract
+ published in Advances in Cryptology-Crypto 98
+ Proceedings, Lecture Notes in Computer Science Vol.
+ 1462, H. Krawcyzk ed., Springer-Verlag, 1998.
+
+ [Blumenthal96] Blumenthal, U. and S. Bellovin, "A Better Key Schedule
+ for DES-Like Ciphers", Proceedings of PRAGOCRYPT '96,
+ 1996.
+
+ [CRC] International Organization for Standardization, "ISO
+ Information Processing Systems - Data Communication -
+ High-Level Data Link Control Procedure - Frame
+ Structure," IS 3309, 3rd Edition, October 1984.
+
+ [DES77] National Bureau of Standards, U.S. Department of
+ Commerce, "Data Encryption Standard," Federal
+ Information Processing Standards Publication 46,
+ Washington, DC, 1977.
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 47]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ [DESI81] National Bureau of Standards, U.S. Department of
+ Commerce, "Guidelines for implementing and using NBS
+ Data Encryption Standard," Federal Information
+ Processing Standards Publication 74, Washington, DC,
+ 1981.
+
+ [DESM80] National Bureau of Standards, U.S. Department of
+ Commerce, "DES Modes of Operation," Federal
+ Information Processing Standards Publication 81,
+ Springfield, VA, December 1980.
+
+ [Dolev91] Dolev, D., Dwork, C., and M. Naor, "Non-malleable
+ cryptography", Proceedings of the 23rd Annual
+ Symposium on Theory of Computing, ACM, 1991.
+
+ [HMAC] Krawczyk, H., Bellare, M., and R. Canetti, "HMAC:
+ Keyed-Hashing for Message Authentication", RFC 2104,
+ February 1997.
+
+ [KRB5-AES] Raeburn, K., "Advanced Encryption Standard (AES)
+ Encryption for Kerberos 5", RFC 3962, February 2005.
+
+ [MD4-92] Rivest, R., "The MD4 Message-Digest Algorithm", RFC
+ 1320, April 1992.
+
+ [MD5-92] Rivest, R., "The MD5 Message-Digest Algorithm ", RFC
+ 1321, April 1992.
+
+ [SG92] Stubblebine, S. and V. D. Gligor, "On Message
+ Integrity in Cryptographic Protocols," in Proceedings
+ of the IEEE Symposium on Research in Security and
+ Privacy, Oakland, California, May 1992.
+
+Informative References
+
+ [Bellovin91] Bellovin, S. M. and M. Merrit, "Limitations of the
+ Kerberos Authentication System", in Proceedings of the
+ Winter 1991 Usenix Security Conference, January, 1991.
+
+ [Bellovin99] Bellovin, S. M. and D. Atkins, private communications,
+ 1999.
+
+ [EFF-DES] Electronic Frontier Foundation, "Cracking DES: Secrets
+ of Encryption Research, Wiretap Politics, and Chip
+ Design", O'Reilly & Associates, Inc., May 1998.
+
+ [ESP-DES] Madson, C. and N. Doraswamy, "The ESP DES-CBC Cipher
+ Algorithm With Explicit IV", RFC 2405, November 1998.
+
+
+
+Raeburn Standards Track [Page 48]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+ [GSS-KRB5] Linn, J., "The Kerberos Version 5 GSS-API Mechanism",
+ RFC 1964, June 1996.
+
+ [HMAC-TEST] Cheng, P. and R. Glenn, "Test Cases for HMAC-MD5 and
+ HMAC-SHA-1", RFC 2202, September 1997.
+
+ [IPSEC-HMAC] Madson, C. and R. Glenn, "The Use of HMAC-SHA-1-96
+ within ESP and AH", RFC 2404, November 1998.
+
+ [Kerb] Neuman, C., Yu, T., Hartman, S., and K. Raeburn, "The
+ Kerberos Network Authentication Service (V5)", Work in
+ Progress, September 2004.
+
+ [Kerb1510] Kohl, J. and C. Neuman, "The Kerberos Network
+ Authentication Service (V5)", RFC 1510, September
+ 1993.
+
+ [RC5] Baldwin, R. and R. Rivest, "The RC5, RC5-CBC, RC5-
+ CBC-Pad, and RC5-CTS Algorithms", RFC 2040, October
+ 1996.
+
+ [RFC1851] Karn, P., Metzger, P., and W. Simpson, "The ESP Triple
+ DES Transform", RFC 1851, September 1995.
+
+ [Schneier96] Schneier, B., "Applied Cryptography Second Edition",
+ John Wiley & Sons, New York, NY, 1996. ISBN 0-471-
+ 12845-7.
+
+Editor's Address
+
+ Kenneth Raeburn
+ Massachusetts Institute of Technology
+ 77 Massachusetts Avenue
+ Cambridge, MA 02139
+
+ EMail: raeburn@mit.edu
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 49]
+
+RFC 3961 Encryption and Checksum Specifications February 2005
+
+
+Full Copyright Statement
+
+ Copyright (C) The Internet Society (2005).
+
+ This document is subject to the rights, licenses and restrictions
+ contained in BCP 78, and except as set forth therein, the authors
+ retain all their rights.
+
+ This document and the information contained herein are provided on an
+ "AS IS" basis and THE CONTRIBUTOR, THE ORGANIZATION HE/SHE REPRESENTS
+ OR IS SPONSORED BY (IF ANY), THE INTERNET SOCIETY AND THE INTERNET
+ ENGINEERING TASK FORCE DISCLAIM ALL WARRANTIES, EXPRESS OR IMPLIED,
+ INCLUDING BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE
+ INFORMATION HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED
+ WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
+
+Intellectual Property
+
+ The IETF takes no position regarding the validity or scope of any
+ Intellectual Property Rights or other rights that might be claimed to
+ pertain to the implementation or use of the technology described in
+ this document or the extent to which any license under such rights
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+ on the IETF's procedures with respect to rights in IETF Documents can
+ be found in BCP 78 and BCP 79.
+
+ Copies of IPR disclosures made to the IETF Secretariat and any
+ assurances of licenses to be made available, or the result of an
+ attempt made to obtain a general license or permission for the use of
+ such proprietary rights by implementers or users of this
+ specification can be obtained from the IETF on-line IPR repository at
+ http://www.ietf.org/ipr.
+
+ The IETF invites any interested party to bring to its attention any
+ copyrights, patents or patent applications, or other proprietary
+ rights that may cover technology that may be required to implement
+ this standard. Please address the information to the IETF at ietf-
+ ipr@ietf.org.
+
+Acknowledgement
+
+ Funding for the RFC Editor function is currently provided by the
+ Internet Society.
+
+
+
+
+
+
+
+Raeburn Standards Track [Page 50]
+