By Christophe De Cannière, Christian Rechberger (auth.), Xuejia Lai, Kefei Chen (eds.)
This publication constitutes the refereed lawsuits of the twelfth foreign convention at the idea and alertness of Cryptology and knowledge safety, ASIACRYPT 2006, held in Shanghai, China in December 2006.
The 30 revised complete papers awarded have been rigorously reviewed and chosen from 314 submissions. The papers are prepared in topical sections on assaults on hash services, move ciphers and boolean services, biometrics and ECC computation, id-based schemes, public-key schemes, RSA and factorization, building of hash functionality, protocols, block ciphers, and signatures.
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Extra info for Advances in Cryptology – ASIACRYPT 2006: 12th International Conference on the Theory and Application of Cryptology and Information Security, Shanghai, China, December 3-7, 2006. Proceedings
Cancel method does not use the technique where the latent diﬀerential transfers. 2 Collision Search for SHA-0 Collision search is done to locate a message that satisﬁes all suﬃcient conditions; it involves the use of 2 block messages. The suﬃcient conditions on the Improved Collision Search for SHA-0 27 ﬁrst block are set in order to control the diﬀerentials of the chaining variables on the second block. Since all conditions are conditions of output values, they cannot be satisﬁed by message modiﬁcation.
In the case of m7,6 = 1 and m5,6 = 1, a similar analysis conﬁrms that δa8 is assured of being 0. 30 Y. Naito et al. Step 9. In step 9, a9 is calculated as follows: a9 = (a8 ≪ 5) + f (b8 , c8 , d8 ) + e8 + m8 + k8 . Since a7,4 = 0 is set as the extra condition, we can cancel δc8 = ±23 from the property of function f . Since the function f is f (b8 , c8 , d8 ) = (b8 ∧c8 )∨(¬b8 ∧ d8 ), if b8,4 = 0, the 4-th bit of f (b8 , c8 , d8 ) is equal to d8,4 , and if b8,4 = 1, the 4-th bit of f (b8 , c8 , d8 ) is equal to c8,4 .
C International Association for Cryptologic Research 2006 38 S. L. Yin under the two assumptions that (A1) the keyed compression function fk of the hash function is a PRF, and (A2) the keyed hash function Fk is weakly collision resistant1 . The proof for NMAC was then lifted to HMAC by further assuming that (A3) the key derivation function in HMAC is a PRF. The provable security of HMAC, besides its eﬃciency and elegancy, was an important factor for its wide deployment. However, recent collision attacks on hash functions [21,24] imply that assumption (A2) in the original proof no longer holds when considering concrete constructions such as HMAC-MD5 and HMAC-SHA1.
Advances in Cryptology – ASIACRYPT 2006: 12th International Conference on the Theory and Application of Cryptology and Information Security, Shanghai, China, December 3-7, 2006. Proceedings by Christophe De Cannière, Christian Rechberger (auth.), Xuejia Lai, Kefei Chen (eds.)