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 offered have been rigorously reviewed and chosen from 314 submissions. The papers are geared up in topical sections on assaults on hash services, circulation ciphers and boolean services, biometrics and ECC computation, id-based schemes, public-key schemes, RSA and factorization, development of hash functionality, protocols, block ciphers, and signatures.
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Additional resources 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
In this section, we propose message modiﬁcation to satisfy each of these suﬃcient conditions. Theorem 1. Suppose we set following conditions as Extra Conditions. a6,6 = m5,6 , m6,11 = m5,6 , m7,6 = m5,6 , a7,4 = 0, a8,4 = 1, m10,4 = m5,6 . If we modify the message as shown below, the suﬃcient condition a21,4 = a20,4 (or a21,4 = a20,4 ) is satisﬁed with probability of almost 1. m5 ← m5 ⊕ 25 , m6 ← m6 ⊕ 210 , m7 ← m7 ⊕ 25 , m10 ← m10 ⊕ 23 Improved Collision Search for SHA-0 29 In order to satisfy extra conditions, we generate messages that satisfy these extra conditions in advance by a method similar to that used to satisfy the suﬃcient conditions.
This framework also points to possible directions for hash function attacks that most likely lead to further improved attacks on HMAC and NMAC. Attacks on key derivation in HMAC-MD5. We study the key derivation function in HMAC-MD5, which is essentially the MD5 compression function keyed through the message input. We describe distinguishing and second preimage attacks on the function with complexity much less than the theoretical bound. New modification technique. We develop a new message modiﬁcation technique in our key recovery analysis.
In the pre-computation phase, a diﬀerential path and conditions that indicate that a collision is possible are constructed. In this paper, we call these conditions “suﬃcient conditions”. Suﬃcient conditions deﬁne the triggers for ending collision search. In the collision search phase, an input message satisfying all suﬃcient conditions is searched for. If this message is found, a collision can be generated. In this phase, message modiﬁcation is used to eﬃciently ﬁnd a message that satisﬁes the suﬃcient conditions.