By Vivien Dubois, Pierre-Alain Fouque, Adi Shamir, Jacques Stern (auth.), Alfred Menezes (eds.)
The twenty seventh Annual overseas Cryptology convention was once held in Santa Barbara, California, in August 2007. The convention drew researchers from all over the world who got here to offer their findings and talk about the most recent advancements within the box. This publication constitutes the refereed lawsuits of the conference.
Thirty-three complete papers are provided besides one vital invited lecture. each has been rigorously reviewed via the editor to make sure that all papers are exact, effortless to learn, and make a massive contribution to the field.
The papers handle present foundational, theoretical, and examine points of cryptology, cryptography, and cryptanalysis. furthermore, readers will realize many complex and rising applications.
Read or Download Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings PDF
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Additional resources for Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings
LNCS, vol. 3810, pp. 1–12. 1 Improving the MD4 IV-Recovery Reducing the Online Cost First, we can easily lower the number of calls to the NMAC-oracle in the ﬁrst phase of the IV-recovery. Instead of trying 22 × 282 random message pairs, we will choose the messages more cleverly so that each message belongs to 22 pairs: we ﬁrst choose 490 bits of the message at random and then use every possibility for the 22 remaining bits. Thus, we only need 283 calls to the oracle instead of 22 × 283 . Note that we cannot use this trick in the composite IV-recovery attack, so the number of queries for the full key-recovery will only be halved (the queries for the basic IV-recovery for k2 become negligible compared to the queries for the composite IV-recovery that will reveal k2 ).
2 Applications of the Construction We introduce equivalence protecting algorithms for some well known search problems. Example 1 (Perfect Matching in Bipartite Graphs). Consider the problem of ﬁnding a perfect matching in a bipartite graph G = G, E . To decide whether an input edge u, v is relevant we do the following: (i) Denote by G the graph that results from deleting u, v and all the edges adjacent to them from G. (ii) Check whether there is a perfect matching in G . Evidently, u, v is relevant to G if and only if G has a perfect matching.
See the full version of this paper for a detailed complexity analysis. B IV-Dependent Diﬀerential Path Here is one of the 22 IV-dependent paths we found in MD4. -A. Fouque, G. Q. Nguyen it works on bit positions 0, 1, 3, 4, 6-8, 12-17, 19-24, 26, 27, and 29, and fails on other positions due to carry expansions. This path was found using an automated diﬀerential paths search algorithm described in . 23] ¸  ˙  ¸ ˙  ¸ ˙ [29,30] ˙  ¸ ¸              Q15 = Q13 , Q15 = Q13 , Q15 = Q13       Q16 = Q15 , Q16 = Q15 , Q16 = Q15 Q17  Q19  Q20  Q21  Q22  Q23  Q23  Q25  Q26   = Q16 ,  = Q17 ,  = Q19 ,  = Q19  = Q21 ,  = Q21  = Q22  = Q23 ,  = Q25 ,   Q17 = Q16 , Q17 = Q16 , Q17 = Q16       Q19 = Q17 , Q19 = Q17 , Q19 = Q17         Q20 = Q19 , Q20 = Q19 , Q20 = Q19 , Q19 = Q18 Q21 = Q20 Q25 = Q23   Q26 = Q25  Q27 = Q26   Q29 = Q27   Q30 = Q29 Path 1.
Advances in Cryptology - CRYPTO 2007: 27th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19-23, 2007. Proceedings by Vivien Dubois, Pierre-Alain Fouque, Adi Shamir, Jacques Stern (auth.), Alfred Menezes (eds.)