10 Kerberos Working Group K. Raeburn
11 Document: draft-raeburn-krb-rijndael-krb-05.txt MIT
13 expires December 20, 2003
15 AES Encryption for Kerberos 5
19 This document is an Internet-Draft and is in full conformance with
20 all provisions of Section 10 of RFC2026 [RFC2026]. Internet-Drafts
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37 Recently the US National Institute of Standards and Technology chose
38 a new Advanced Encryption Standard, which is significantly faster and
39 (it is believed) more secure than the old DES algorithm. This
40 document is a specification for the addition of this algorithm to the
41 Kerberos cryptosystem suite.
43 Comments should be sent to the author, or to the IETF Kerberos
44 working group (ietf-krb-wg@anl.gov).
48 This document defines encryption key and checksum types for Kerberos
49 5 using the AES algorithm recently chosen by NIST. These new types
50 support 128-bit block encryption, and key sizes of 128 or 256 bits.
60 INTERNET DRAFT June 2003
63 Using the "simplified profile" of [KCRYPTO], we can define a pair of
64 encryption and checksum schemes. AES is used with cipher text
65 stealing to avoid message expansion, and SHA-1 [SHA1] is the
66 associated checksum function.
68 2. Conventions Used in this Document
70 The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
71 "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
72 document are to be interpreted as described in RFC 2119.
74 3. Protocol Key Representation
76 The profile in [KCRYPTO] treats keys and random octet strings as
77 conceptually different. But since the AES key space is dense, we can
78 use any bit string of appropriate length as a key. We use the byte
79 representation for the key described in [AES], where the first bit of
80 the bit string is the high bit of the first byte of the byte string
81 (octet string) representation.
83 4. Key Generation From Pass Phrases or Random Data
85 Given the above format for keys, we can generate keys from the
86 appropriate amounts of random data (128 or 256 bits) by simply
87 copying the input string.
89 To generate an encryption key from a pass phrase and salt string, we
90 use the PBKDF2 function from PKCS #5 v2.0 ([PKCS5]), with parameters
91 indicated below, to generate an intermediate key (of the same length
92 as the desired final key), which is then passed into the DK function
93 with the 8-octet ASCII string "kerberos" as is done for des3-cbc-
94 hmac-sha1-kd in [KCRYPTO]. (In [KCRYPTO] terms, the PBKDF2 function
95 produces a "random octet string", hence the application of the
96 random-to-key function even though it's effectively a simple identity
97 operation.) The resulting key is the user's long-term key for use
98 with the encryption algorithm in question.
100 tkey = random2key(PBKDF2(passphrase, salt, iter_count, keylength))
101 key = DK(tkey, "kerberos")
103 The pseudorandom function used by PBKDF2 will be a SHA-1 HMAC of the
104 passphrase and salt, as described in Appendix B.1 to PKCS#5.
106 The number of iterations is specified by the string-to-key parameters
107 supplied. The parameter string is four octets indicating an unsigned
108 number in big-endian order. This is the number of iterations to be
109 performed. If the value is 00 00 00 00, the number of iterations to
110 be performed is 4294967296 (2**32). (Thus the minimum expressable
116 INTERNET DRAFT June 2003
119 iteration count is 1.)
121 For environments where slower hardware is the norm, implementations
122 may wish to limit the number of iterations to prevent a spoofed
123 response from consuming lots of client-side CPU time; it is
124 recommended that this bound be no less than 50000. Even for
125 environments with fast hardware, 4 billion iterations is likely to
126 take a fairly long time; much larger bounds might still be enforced,
127 and it might be wise for implementations to permit interruption of
128 this operation by the user if the environment allows for it.
130 If the string-to-key parameters are not supplied, the value used is
131 00 00 10 00 (decimal 4096, indicating 4096 iterations).
133 Note that this is NOT a requirement, nor even a recommendation, for
134 this value to be used in "optimistic preauthentication" (e.g.,
135 attempting timestamp-based preauthentication using the user's long-
136 term key, without having first communicated with the KDC) in the
137 absence of additional information, nor as a default value for sites
138 to use for their principals' long-term keys in their Kerberos
139 database. It is simply the interpretation of the absence of the
140 string-to-key parameter field when the KDC has had an opportunity to
143 Sample test vectors are given in the appendix.
145 5. Cipher Text Stealing
147 Cipher block chaining is used to encrypt messages. Unlike previous
148 Kerberos cryptosystems, we use cipher text stealing to handle the
149 possibly partial final block of the message.
151 Cipher text stealing is described on pages 195-196 of [AC], and
152 section 8 of [RC5]; it has the advantage that no message expansion is
153 done during encryption of messages of arbitrary sizes as is typically
154 done in CBC mode with padding.
156 Cipher text stealing, as defined in [RC5], assumes that more than one
157 block of plain text is available. If exactly one block is to be
158 encrypted, that block is simply encrypted with AES (also known as ECB
159 mode). Input of less than one block is padded at the end to one
160 block; the values of the padding bits are unspecified.
161 (Implementations may use all-zero padding, but protocols should not
162 rely on the result being deterministic. Implementations may use
163 random padding, but protocols should not rely on the result not being
164 deterministic. Note that in most cases, the Kerberos encryption
165 profile will add a random confounder independent of this padding.)
172 INTERNET DRAFT June 2003
175 For consistency, cipher text stealing is always used for the last two
176 blocks of the data to be encrypted, as in [RC5]. If the data length
177 is a multiple of the block size, this is equivalent to plain CBC mode
178 with the last two cipher text blocks swapped.
180 A test vector is given in the appendix.
182 6. Kerberos Algorithm Profile Parameters
184 This is a summary of the parameters to be used with the simplified
185 algorithm profile described in [KCRYPTO]:
187 +--------------------------------------------------------------------+
188 | protocol key format 128- or 256-bit string |
190 | string-to-key function PBKDF2+DK with variable |
191 | iteration count (see |
194 | default string-to-key parameters 00 00 10 00 |
196 | key-generation seed length key size |
198 | random-to-key function identity function |
200 | hash function, H SHA-1 |
202 | HMAC output size, h 12 octets (96 bits) |
204 | message block size, m 1 octet |
206 | encryption/decryption functions, AES in CBC-CTS mode with |
207 | E and D zero ivec (cipher block |
209 +--------------------------------------------------------------------+
211 Using this profile with each key size gives us two each of encryption
212 and checksum algorithm definitions.
216 The following encryption type numbers are assigned:
228 INTERNET DRAFT June 2003
231 +--------------------------------------------------------------------+
233 +--------------------------------------------------------------------+
234 | type name etype value key size |
235 +--------------------------------------------------------------------+
236 | aes128-cts-hmac-sha1-96 17 128 |
237 | aes256-cts-hmac-sha1-96 18 256 |
238 +--------------------------------------------------------------------+
240 The following checksum type numbers are assigned:
242 +--------------------------------------------------------------------+
244 +--------------------------------------------------------------------+
245 | type name sumtype value length |
246 +--------------------------------------------------------------------+
247 | hmac-sha1-96-aes128 15 96 |
248 | hmac-sha1-96-aes256 16 96 |
249 +--------------------------------------------------------------------+
251 These checksum types will be used with the corresponding encryption
254 8. Security Considerations
256 This new algorithm has not been around long enough to receive the
257 decades of intense analysis that DES has received. It is possible
258 that some weakness exists that has not been found by the
259 cryptographers analyzing these algorithms before and during the AES
262 The use of the HMAC function has drawbacks for certain pass phrase
263 lengths. For example, a pass phrase longer than the hash function
264 block size (64 bytes, for SHA-1) is hashed to a smaller size (20
265 bytes) before applying the main HMAC algorithm. However, entropy is
266 generally sparse in pass phrases, especially in long ones, so this
267 may not be a problem in the rare cases of users with long pass
270 Also, generating a 256-bit key from a pass phrase of any length may
271 be deceptive, since the effective entropy in pass-phrase-derived key
272 cannot be nearly that large.
274 The iteration count in PBKDF2 appears to be useful primarily as a
275 constant multiplier for the amount of work required for an attacker
276 using brute-force methods. Unfortunately, it also multiplies, by the
277 same amount, the work needed by a legitimate user with a valid
278 password. Thus the work factor imposed on an attacker (who may have
284 INTERNET DRAFT June 2003
287 many powerful workstations at his disposal) must be balanced against
288 the work factor imposed on the legitimate user (who may have a PDA or
289 cell phone); the available computing power on either side increases
290 as time goes on, as well. A better way to deal with the brute-force
291 attack is through preauthentication mechanisms that provide better
292 protection of the user's long-term key. Use of such mechanisms is
293 out of scope for this document.
295 If a site does wish to use this means of protection against a brute-
296 force attack, the iteration count should be chosen based on the
297 facilities expected to be available to an attacker, and the amount of
298 work the attacker should be required to perform to acquire the key or
303 The author's tests on a 2GHz Pentium 4 system indicated that in
304 one second, nearly 90000 iterations could be done, producing a
305 256-bit key. This was using the SHA-1 assembly implementation
306 from OpenSSL, and a pre-release version of the PBKDF2 code for
307 MIT's Kerberos package, on a single system. No attempt was made
308 to do multiple hashes in parallel, so we assume an attacker doing
309 so can probably do at least 100000 iterations per second --
310 rounded up to 2**17, for ease of calculation. For simplicity, we
311 also assume the final AES encryption step costs nothing.
313 Paul Leach estimates [LEACH] that a password-cracking dictionary
314 may have on the order of 2**21 entries, with capitalization,
315 punctuation, and other variations contributing perhaps a factor of
316 2**11, giving a ballpark estimate of 2**32.
318 Thus, for a known iteration count N and a known salt string, an
319 attacker with some number of computers comparable to the author's
320 would need roughly N*2**15 CPU seconds to convert the entire
321 dictionary plus variations into keys.
323 An attacker using a dozen such computers for a month would have
324 roughly 2**25 CPU seconds available. So using 2**12 (4096)
325 iterations would mean an attacker with a dozen such computers
326 dedicated to a brute-force attack against a single key (actually,
327 any password-derived keys sharing the same salt and iteration
328 count) would process all the variations of the dictionary entries
329 in four months, and on average, would likely find the user's
330 password in two months.
332 Thus, if this form of attack is of concern, an iteration count a
333 few orders of magnitude higher should be chosen, and users should
334 be required to change their passwords every few months. Perhaps
340 INTERNET DRAFT June 2003
343 several orders of magnitude, since many users will tend to use the
344 shorter and simpler passwords (as much as they can get away with,
345 given a site's password quality checks) that the attacker would
348 Since this estimate is based on currently available CPU power, the
349 iteration counts used for this mode of defense should be increased
350 over time, at perhaps 40%-60% each year or so.
352 Note that if the attacker has a large amount of storage available,
353 intermediate results could be cached, saving a lot of work for the
354 next attack with the same salt and a greater number of iterations
355 than had been run at the point where the intermediate results were
356 saved. Thus, it would be wise to generate a new random salt
357 string when passwords are changed. The default salt string,
358 derived from the principal name, only protects against the use of
359 one dictionary of keys against multiple users.
361 If the PBKDF2 iteration count can be spoofed by an intruder on the
362 network, and the limit on the accepted iteration count is very high,
363 the intruder may be able to introduce a form of denial of service
364 attack against the client by sending a very high iteration count,
365 causing the client to spend a great deal of CPU time computing an
368 An intruder spoofing the KDC reply, providing a low iteration count,
369 and reading the client's reply from the network may be able to reduce
370 the work needed in the brute-force attack outlined above. Thus,
371 implementations may wish to enforce lower bounds on the number of
372 iterations that will be used.
374 Since threat models and typical end-user equipment will vary widely
375 from site to site, allowing site-specific configuration of such
376 bounds is recommended.
378 Any benefit against other attacks specific to the HMAC or SHA-1
379 algorithms is probably achieved with a fairly small number of
382 In the "optimistic preauthentication" case mentioned in section 3,
383 the client may attempt to produce a key without first communicating
384 with the KDC. If the client has no additional information, it can
385 only guess as to the iteration count to be used. Even such
386 heuristics as "iteration count X was used to acquire tickets for the
387 same principal only N hours ago" can be wrong. Given the
388 recommendation above for increasing the iteration counts used over
389 time, it is impossible to recommend any specific default value for
390 this case; allowing site-local configuration is recommended. (If the
396 INTERNET DRAFT June 2003
399 lower and upper bound checks described above are implemented, the
400 default count for optimistic preauthentication should be between
403 Cipher text stealing mode, since it requires no additional padding in
404 most cases, will reveal the exact length of each message being
405 encrypted, rather than merely bounding it to a small range of
406 possible lengths as in CBC mode. Such obfuscation should not be
407 relied upon at higher levels in any case; if the length must be
408 obscured from an outside observer, it should be done by intentionally
409 varying the length of the message to be encrypted.
411 The author is not a cryptographer. Caveat emptor.
413 9. IANA Considerations
419 Thanks to John Brezak, Gerardo Diaz Cuellar, Ken Hornstein, Paul
420 Leach, Marcus Watts and others for feedback on earlier versions of
423 A. Sample test vectors
425 Sample values for the PBKDF2 HMAC-SHA1 string-to-key function are
429 Pass phrase = "password"
430 Salt = "ATHENA.MIT.EDUraeburn"
431 128-bit PBKDF2 output:
432 cd ed b5 28 1b b2 f8 01 56 5a 11 22 b2 56 35 15
434 42 26 3c 6e 89 f4 fc 28 b8 df 68 ee 09 79 9f 15
435 256-bit PBKDF2 output:
436 cd ed b5 28 1b b2 f8 01 56 5a 11 22 b2 56 35 15
437 0a d1 f7 a0 4b b9 f3 a3 33 ec c0 e2 e1 f7 08 37
439 fe 69 7b 52 bc 0d 3c e1 44 32 ba 03 6a 92 e6 5b
440 bb 52 28 09 90 a2 fa 27 88 39 98 d7 2a f3 01 61
452 INTERNET DRAFT June 2003
456 Pass phrase = "password"
457 Salt="ATHENA.MIT.EDUraeburn"
458 128-bit PBKDF2 output:
459 01 db ee 7f 4a 9e 24 3e 98 8b 62 c7 3c da 93 5d
461 c6 51 bf 29 e2 30 0a c2 7f a4 69 d6 93 bd da 13
462 256-bit PBKDF2 output:
463 01 db ee 7f 4a 9e 24 3e 98 8b 62 c7 3c da 93 5d
464 a0 53 78 b9 32 44 ec 8f 48 a9 9e 61 ad 79 9d 86
466 a2 e1 6d 16 b3 60 69 c1 35 d5 e9 d2 e2 5f 89 61
467 02 68 56 18 b9 59 14 b4 67 c6 76 22 22 58 24 ff
469 Iteration count = 1200
470 Pass phrase = "password"
471 Salt = "ATHENA.MIT.EDUraeburn"
472 128-bit PBKDF2 output:
473 5c 08 eb 61 fd f7 1e 4e 4e c3 cf 6b a1 f5 51 2b
475 4c 01 cd 46 d6 32 d0 1e 6d be 23 0a 01 ed 64 2a
476 256-bit PBKDF2 output:
477 5c 08 eb 61 fd f7 1e 4e 4e c3 cf 6b a1 f5 51 2b
478 a7 e5 2d db c5 e5 14 2f 70 8a 31 e2 e6 2b 1e 13
480 55 a6 ac 74 0a d1 7b 48 46 94 10 51 e1 e8 b0 a7
481 54 8d 93 b0 ab 30 a8 bc 3f f1 62 80 38 2b 8c 2a
484 Pass phrase = "password"
485 Salt=0x1234567878563412
486 128-bit PBKDF2 output:
487 d1 da a7 86 15 f2 87 e6 a1 c8 b1 20 d7 06 2a 49
489 e9 b2 3d 52 27 37 47 dd 5c 35 cb 55 be 61 9d 8e
490 256-bit PBKDF2 output:
491 d1 da a7 86 15 f2 87 e6 a1 c8 b1 20 d7 06 2a 49
492 3f 98 d2 03 e6 be 49 a6 ad f4 fa 57 4b 6e 64 ee
494 97 a4 e7 86 be 20 d8 1a 38 2d 5e bc 96 d5 90 9c
495 ab cd ad c8 7c a4 8f 57 45 04 15 9f 16 c3 6e 31
496 (This test is based on values given in [PECMS].)
508 INTERNET DRAFT June 2003
511 Iteration count = 1200
512 Pass phrase = (64 characters)
513 "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"
514 Salt="pass phrase equals block size"
515 128-bit PBKDF2 output:
516 13 9c 30 c0 96 6b c3 2b a5 5f db f2 12 53 0a c9
518 59 d1 bb 78 9a 82 8b 1a a5 4e f9 c2 88 3f 69 ed
519 256-bit PBKDF2 output:
520 13 9c 30 c0 96 6b c3 2b a5 5f db f2 12 53 0a c9
521 c5 ec 59 f1 a4 52 f5 cc 9a d9 40 fe a0 59 8e d1
523 89 ad ee 36 08 db 8b c7 1f 1b fb fe 45 94 86 b0
524 56 18 b7 0c ba e2 20 92 53 4e 56 c5 53 ba 4b 34
526 Iteration count = 1200
527 Pass phrase = (65 characters)
528 "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX"
529 Salt = "pass phrase exceeds block size"
530 128-bit PBKDF2 output:
531 9c ca d6 d4 68 77 0c d5 1b 10 e6 a6 87 21 be 61
533 cb 80 05 dc 5f 90 17 9a 7f 02 10 4c 00 18 75 1d
534 256-bit PBKDF2 output:
535 9c ca d6 d4 68 77 0c d5 1b 10 e6 a6 87 21 be 61
536 1a 8b 4d 28 26 01 db 3b 36 be 92 46 91 5e c8 2a
538 d7 8c 5c 9c b8 72 a8 c9 da d4 69 7f 0b b5 b2 d2
539 14 96 c8 2b eb 2c ae da 21 12 fc ee a0 57 40 1b
542 Pass phrase = g-clef (0xf09d849e)
543 Salt = "EXAMPLE.COMpianist"
544 128-bit PBKDF2 output:
545 6b 9c f2 6d 45 45 5a 43 a5 b8 bb 27 6a 40 3b 39
547 f1 49 c1 f2 e1 54 a7 34 52 d4 3e 7f e6 2a 56 e5
548 256-bit PBKDF2 output:
549 6b 9c f2 6d 45 45 5a 43 a5 b8 bb 27 6a 40 3b 39
550 e7 fe 37 a0 c4 1e 02 c2 81 ff 30 69 e1 e9 4f 52
552 4b 6d 98 39 f8 44 06 df 1f 09 cc 16 6d b4 b8 3c
553 57 18 48 b7 84 a3 d6 bd c3 46 58 9a 3e 39 3f 9e
555 Some test vectors for CBC with cipher text stealing, using an initial
564 INTERNET DRAFT June 2003
568 63 68 69 63 6b 65 6e 20 74 65 72 69 79 61 6b 69
571 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
574 c6 35 35 68 f2 bf 8c b4 d8 a5 80 36 2d a7 ff 7f
578 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
579 20 47 65 6e 65 72 61 6c 20 47 61 75 27 73 20
581 fc 00 78 3e 0e fd b2 c1 d4 45 d4 c8 ef f7 ed 22
582 97 68 72 68 d6 ec cc c0 c0 7b 25 e2 5e cf e5
585 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
586 20 47 65 6e 65 72 61 6c 20 47 61 75 27 73 20 43
588 39 31 25 23 a7 86 62 d5 be 7f cb cc 98 eb f5 a8
589 97 68 72 68 d6 ec cc c0 c0 7b 25 e2 5e cf e5 84
592 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
593 20 47 65 6e 65 72 61 6c 20 47 61 75 27 73 20 43
594 68 69 63 6b 65 6e 2c 20 70 6c 65 61 73 65 2c
596 97 68 72 68 d6 ec cc c0 c0 7b 25 e2 5e cf e5 84
597 b3 ff fd 94 0c 16 a1 8c 1b 55 49 d2 f8 38 02 9e
598 39 31 25 23 a7 86 62 d5 be 7f cb cc 98 eb f5
601 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
602 20 47 65 6e 65 72 61 6c 20 47 61 75 27 73 20 43
603 68 69 63 6b 65 6e 2c 20 70 6c 65 61 73 65 2c 20
605 97 68 72 68 d6 ec cc c0 c0 7b 25 e2 5e cf e5 84
606 9d ad 8b bb 96 c4 cd c0 3b c1 03 e1 a1 94 bb d8
607 39 31 25 23 a7 86 62 d5 be 7f cb cc 98 eb f5 a8
620 INTERNET DRAFT June 2003
624 49 20 77 6f 75 6c 64 20 6c 69 6b 65 20 74 68 65
625 20 47 65 6e 65 72 61 6c 20 47 61 75 27 73 20 43
626 68 69 63 6b 65 6e 2c 20 70 6c 65 61 73 65 2c 20
627 61 6e 64 20 77 6f 6e 74 6f 6e 20 73 6f 75 70 2e
629 97 68 72 68 d6 ec cc c0 c0 7b 25 e2 5e cf e5 84
630 39 31 25 23 a7 86 62 d5 be 7f cb cc 98 eb f5 a8
631 48 07 ef e8 36 ee 89 a5 26 73 0d bc 2f 7b c8 40
632 9d ad 8b bb 96 c4 cd c0 3b c1 03 e1 a1 94 bb d8
636 [AC] Schneier, B., "Applied Cryptography", second edition, John Wiley
637 and Sons, New York, 1996.
639 [AES] National Institute of Standards and Technology, U.S. Department
640 of Commerce, "Advanced Encryption Standard", Federal Information
641 Processing Standards Publication 197, Washington, DC, November 2001.
643 [KCRYPTO] Raeburn, K., "Encryption and Checksum Specifications for
644 Kerberos 5", draft-ietf-krb-wg-crypto-01.txt, May, 2002. Work in
647 [PKCS5] Kaliski, B., "PKCS #5: Password-Based Cryptography
648 Specification Version 2.0", RFC 2898, September 2000.
650 [RC5] Baldwin, R, and R. Rivest, "The RC5, RC5-CBC, RC5-CBC-Pad, and
651 RC5-CTS Algorithms", RFC 2040, October 1996.
653 [RFC2026] Bradner, S., "The Internet Standards Process -- Revision
654 3", RFC 2026, October 1996.
656 [SHA1] National Institute of Standards and Technology, U.S.
657 Department of Commerce, "Secure Hash Standard", Federal Information
658 Processing Standards Publication 180-1, Washington, DC, April 1995.
660 Informative References
662 [LEACH] Leach, P., email to IETF Kerberos working group mailing list,
663 5 May 2003, ftp://ftp.ietf.org/ietf-mail-archive/krb-wg/2003-05.mail.
665 [PECMS] Gutmann, P., "Password-based Encryption for CMS", RFC 3211,
676 INTERNET DRAFT June 2003
682 Massachusetts Institute of Technology
683 77 Massachusetts Avenue
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717 Assuming this document goes through Last Call along with the Kerberos
718 crypto framework draft, the reference entry for [KCRYPTO] will list
719 the draft name, not the RFC number. This should be replaced with the
722 Remove Kerberos working group contact info from the Abstract; it's
723 right for the draft, but not the final RFC.