Download Advances in Cryptology - ASIACRYPT 2010: 16th International by Dmitry Khovratovich, Ivica Nikolić, Christian Rechberger PDF

By Dmitry Khovratovich, Ivica Nikolić, Christian Rechberger (auth.), Masayuki Abe (eds.)

This booklet constitutes the refereed complaints of the sixteenth overseas convention at the conception and alertness of Cryptology and knowledge defense, ASIACRYPT 2010, held in Singapore, in December 2010. The 35 revised complete papers provided have been conscientiously reviewed and chosen from 216 submissions. The papers are prepared in topical sections on hash assaults; symmetric-key cryptosystems; block and circulate ciphers; protocols; key trade; starting place; zero-knowledge; lattice-based cryptography; safe communique and computation; types, notions, and assumptions; and public-key encryption.

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Extra info for Advances in Cryptology - ASIACRYPT 2010: 16th International Conference on the Theory and Application of Cryptology and Information Security, Singapore, December 5-9, 2010. Proceedings

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8-variable) systems the inputs of 17 (resp. 20) S-boxes depend on the variables before the second substitution layer. For some of them, only some output bits need to be computed. For each 7-variable (resp. 8-variable) system, this requires 210 (resp. 200) operations. The propagation through the second diffusion layer to the inputs of the useful third round S-boxes requires 60 Finding Second Preimages of Short Messages for Hamsi-256 31 (resp. 46) XORs. In the third round, the outputs of 45 (resp.

M9 || . . ||m and try to find a second preimage of the digest of M . Therefore we consider the chaining variable h10 = 34 T. Fuhr F10 (IV, m0 , . . , m9 ). First, we try to find x pseudo preimages of h10 , namely (h9,1 , m9,1 ), . . , (h9,x , m9,x ). We use our 8-variable set. 2 × x (5) In a second step, starting from S = {h9 , h9,1 , . . , h9,x } where h9,0 = F9 (IV, m0 , . . , m8 ), we search y pseudo preimages of one element of the set S, (h8,1 , m8,1 ), . . , (h8,y , m8,y ). For this step we use 7-variable equation systems.

The first two rounds of the Hamsi-256 compression function are an affine function of the variables defined in Section 3. We then use a set |J| of 8 variables as defined in section 3, denoted auxiliary variables, to compute more efficiently 28 equation systems. We know from the analysis of section 3 that the whole internal state up to the input of the third Sbox layer are affine functions of these variables, provided that some Conditional bits have the apropriate value. Instead of running the whole compression function to get the constant coefficients for each system, we only modify one auxiliary variable from one system to the next one.

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