By Christophe De Cannière, Christian Rechberger (auth.), Xuejia Lai, Kefei Chen (eds.)
This booklet constitutes the refereed complaints of the twelfth foreign convention at the conception and alertness of Cryptology and data protection, ASIACRYPT 2006, held in Shanghai, China in December 2006.
The 30 revised complete papers offered have been conscientiously reviewed and chosen from 314 submissions. The papers are equipped in topical sections on assaults on hash capabilities, circulate ciphers and boolean capabilities, 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
Xiaoyun Wang. The Improved Collision Attack on SHA-0. cn, 1998. 12. Xiaoyun Wang, Andrew C Yao, and Frances Yao. Cryptanalysis on SHA-1 Hash Function . Keynote Speech at CRYPTOGRAPHIC HASH WORKSHOP. 13. Xiaoyun Wang. Cryptanalysis of Hash functions and Potential Dangers. Invited Talk at CT-RSA 2006. 14. Xiaoyun Wang, Hongbo Yu and Yiqun Lisa Yin. Eﬃcient Collision Search Attack on SHA-0. CRYPTO’05, LNCS 3621, pp1–16, Springer-Verlag, 2005. 15. Xiaoyun Wang, Yiqun Lisa Yin and Hongbo Yu. Finding Collisions in the Full SHA-1.
2 Step 22 of 2nd block. The complexity of generating messages that satisfy all suﬃcient conditions up to step 22 including submarine modiﬁcation is calculated as follows: Let the complexity where conditions up to step 22 are satisﬁed and the number of times m14 , m15 is chosen is less than i times x22,i . In this situation, the following equation below is valid. Here x22,0 = 0. 025 2 i−1 · 10 + 1 + 1 1 · 3 + · 3 + x22,i−1 2 2 The complexity is about 15 steps since lim x22,i ≈ 15. i→∞ 34 Y. Naito et al.
Y. L. Yin. Personal Communication, March 2006. com Abstract. At CRYPTO2005, Xiaoyun Wang, Hongbo Yu and Yiqun Lisa Yin proposed a collision attack on SHA-0 that could generate a collision with complexity 239 SHA-0 hash operations. Although the method of Wang et al. can ﬁnd messages that satisfy the suﬃcient conditions in steps 1 to 20 by using message modiﬁcation, it makes no mention of the message modiﬁcations needed to yield satisfaction of the suﬃcient conditions in steps 21 and onwards. In this paper, ﬁrst, we give suﬃcient conditions for the steps from step 21, and propose submarine modiﬁcation as the message modiﬁcation technique that will ensure satisfaction of the suﬃcient conditions from steps 21 to 24.
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.)