Download e-book for iPad: Advances in Cryptology - ASIACRYPT 2010: 16th International by Dmitry Khovratovich, Ivica Nikolić, Christian Rechberger

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

ISBN-10: 3642173721

ISBN-13: 9783642173721

ISBN-10: 364217373X

ISBN-13: 9783642173738

This ebook constitutes the refereed complaints of the sixteenth foreign convention at the idea and alertness of Cryptology and knowledge protection, ASIACRYPT 2010, held in Singapore, in December 2010. The 35 revised complete papers awarded have been conscientiously reviewed and chosen from 216 submissions. The papers are equipped in topical sections on hash assaults; symmetric-key cryptosystems; block and circulate ciphers; protocols; key alternate; origin; zero-knowledge; lattice-based cryptography; safe communique and computation; versions, notions, and assumptions; and public-key encryption.

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Extra resources 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

Sample text

2 Expandable Messages for Hamsi-256 Expandable messages are generated using the multicollision algorithm of [6]. Expandable messages of size 2k can be generated by iterating the following search. Set C0 = IV (the initialization vector of Hamsi-256). For all i in {0, . . , k − 1}, find two sequences of message blocks Li,0 = (ai,1 , . . , ai,αi ) and Li,1 = (bi,1 , . . , bi,αi +2i ) such that : Ci+1 = Fα (Ci , ai,1 , . . , ai,αi ) = Fαi +2i (Ci , bi,1 , . . , bi,αi +2i ). k−1 k−1 Let p = i=0 αi , and j ∈ {p, .

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. 34) S-boxes affect the Equation bits. To evaluate the coefficients of the variables, 3 cases can occur for the third round S-box layer: 1. The input of the S-box does not depend on Variables.

This threatens the security of Hamsi-256, because one can use a pseudo preimage algorithm to build a second preimage finding algorithm using a basic meet-in-the middle approach. In this section we describe this both this basic method and show how to improve it. The main idea is the following: the complexity of the pseudo-preimage attack is dominated by the complexity of the construction of the equation systems, especially the complexity to recover the coefficients of the equations. In the general second preimage setting, one can then try to invert one of the intermediate chaining variables.

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Advances in Cryptology - ASIACRYPT 2010: 16th International Conference on the Theory and Application of Cryptology and Information Security, Singapore, December 5-9, 2010. Proceedings by Dmitry Khovratovich, Ivica Nikolić, Christian Rechberger (auth.), Masayuki Abe (eds.)


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