Cbc Mac Generation Requires Secret Keys

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In 4, Bernstein presented a simple proof of security of Cipher Block Chaining (CBC) Message Authentication Code (MAC) against adversaries querying messages all of which are of the same length. In this paper we show that Bernstein’s proof can be used to prove security of CBC MAC against adversaries querying non-empty messages that. In cryptography, a cipher block chaining message authentication code (CBC-MAC) is a technique for constructing a message authentication code from a block cipher.The message is encrypted with some block cipher algorithm in CBC mode to create a chain of blocks such that each block depends on the proper encryption of the previous block. Enc-Mac (AES CTR+CBC) mixing AES-256 and AES-128 and splitting keys. I'm looking to accomplish a Enc-then-Mac approach using AES-CTR and ECBC-MAC Now ECBC-MAC requires 2 distinct keys, one for the MAC, and one to encrypt the Tag. In cryptography, a message authentication code (MAC), sometimes known as a tag, is a short piece of information used to authenticate a message—in other words, to confirm that the message came from the stated sender (its authenticity) and has not been changed.

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One-key MAC (OMAC) is a message authentication code constructed from a block cipher much like the CBC-MAC algorithm.

Officially there are two OMAC algorithms (OMAC1 and OMAC2) which are both essentially the same except for a small tweak. OMAC1 is equivalent to CMAC, which became an NIST recommendation in May 2005.

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It is free for all uses: it is not covered by any patents.[citation needed]In cryptography, CMAC (Cipher-based Message Authentication Code)[1] is a block cipher-based message authentication code algorithm. It may be used to provide assurance of the authenticity and, hence, the integrity of binary data. This mode of operation fixes security deficiencies of CBC-MAC (CBC-MAC is secure only for fixed-length messages).

Generation

The core of the CMAC algorithm is a variation of CBC-MAC that Black and Rogaway proposed and analyzed under the name XCBC[2] and submitted to NIST.[3] The XCBC algorithm efficiently addresses the security deficiencies of CBC-MAC, but requires three keys. Iwata and Kurosawa proposed an improvement of XCBC and named the resulting algorithm One-Key CBC-MAC (OMAC) in their papers.[4] They later submitted OMAC1,[5] a refinement of OMAC, and additional security analysis.[6] The OMAC algorithm reduces the amount of key material required for XCBC. CMAC is equivalent to OMAC1.

To generate an ℓ-bit CMAC tag (t) of a message (m) using a b-bit block cipher (E) and a secret key (k), one first generates two b-bit sub-keys (k1 and k2) using the following algorithm (this is equivalent to multiplication by x and x2 in a finite field GF(2b)). Let ≪ denote the standard left-shift operator and ⊕ denote bit-wise exclusive or:

Keys
  1. Calculate a temporary value k0 = Ek(0).
  2. If msb(k0) = 0, then k1 = k0 ≪ 1, else k1 = (k0 ≪ 1) ⊕ C; where C is a certain constant that depends only on b. (Specifically, C is the non-leading coefficients of the lexicographically first irreducible degree-b binary polynomial with the minimal number of ones: 0x1B for 64-bit, 0x87 for 128-bit, and 0x425 for 256-bit blocks.)
  3. If msb(k1) = 0, then k2 = k1 ≪ 1, else k2 = (k1 ≪ 1) ⊕ C.
  4. Return keys (k1, k2) for the MAC generation process.

As a small example, suppose b = 4, C = 00112, and k0 = Ek(0) = 01012. Then k1 = 10102 and k2 = 0100 ⊕ 0011 = 01112.

The CMAC tag generation process is as follows:

  1. Divide message into b-bit blocks m = m1 ∥ .. ∥ mn−1 ∥ mn, where m1, .., mn−1 are complete blocks. (The empty message is treated as one incomplete block.)
  2. If mn is a complete block then mn′ = k1 ⊕ mn else mn′ = k2 ⊕ (mn ∥ 10..02).
  3. Let c0 = 00..02.
  4. For i = 1, .., n − 1, calculate ci = Ek(ci−1 ⊕ mi).
  5. cn = Ek(cn−1 ⊕ mn′)
  6. Output t = msbℓ(cn).

The verification process is as follows:

  1. Use the above algorithm to generate the tag.
  2. Check that the generated tag is equal to the received tag.

Implementations[edit]

  • Python implementation: see the usage of the AES_CMAC() function in 'impacket/blob/master/tests/misc/test_crypto.py', and its definition in 'impacket/blob/master/impacket/crypto.py' [7].
  • Ruby implementation [8]

Cbc Mac Generation Requires Secret Keys 2017

References[edit]

Cbc Mac Generation Requires Secret Keys 2016

  1. ^Dworkin, M J (2016). 'Recommendation for block cipher modes of operation'(PDF). doi:10.6028/nist.sp.800-38b.Cite journal requires journal= (help)
  2. ^Black, John; Rogaway, Phillip (2000-08-20). Advances in Cryptology – CRYPTO 2000. Springer, Berlin, Heidelberg. pp. 197–215. doi:10.1007/3-540-44598-6_12. ISBN978-3540445982.
  3. ^Black, J; Rogaway, P. 'A Suggestion for Handling Arbitrary-Length Messages with the CBC MAC'(PDF).Cite journal requires journal= (help)
  4. ^Iwata, Tetsu; Kurosawa, Kaoru (2003-02-24). 'OMAC: One-Key CBC MAC'. Fast Software Encryption. Lecture Notes in Computer Science. 2887. Springer, Berlin, Heidelberg. pp. 129–153. doi:10.1007/978-3-540-39887-5_11. ISBN978-3-540-20449-7.
  5. ^Iwata, Tetsu; Kurosawa, Kaoru (2003). 'OMAC: One-Key CBC MAC – Addendum'(PDF).Cite journal requires journal= (help)
  6. ^Iwata, Tetsu; Kurosawa, Kaoru (2003-12-08). 'Stronger Security Bounds for OMAC, TMAC, and XCBC'. In Johansson, Thomas; Maitra, Subhamoy (eds.). Progress in Cryptology – INDOCRYPT 2003. Lecture Notes in Computer Science. Springer Berlin Heidelberg. pp. 402–415. CiteSeerX10.1.1.13.8229. doi:10.1007/978-3-540-24582-7_30. ISBN9783540206095.
  7. ^'Impacket is a collection of Python classes for working with network protocols.: SecureAuthCorp/impacket'. 15 December 2018 – via GitHub.
  8. ^'Ruby C extension for the AES-CMAC keyed hash function (RFC 4493): louismullie/cmac-rb'. 4 May 2016 – via GitHub.

External links[edit]

Cbc Mac Generation Requires Secret Keys Free

  • RFC 4493 The AES-CMAC Algorithm
  • RFC 4494 The AES-CMAC-96 Algorithm and Its Use with IPsec
  • RFC 4615 The Advanced Encryption Standard-Cipher-based Message Authentication Code-Pseudo-Random Function-128 (AES-CMAC-PRF-128)
  • OMAC Online Test

Cbc Mac Generation Requires Secret Keys 2

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