By Charanjit S. Jutla, Arnab Roy (auth.), Kazue Sako, Palash Sarkar (eds.)
The two-volume set LNCS 8269 and 8270 constitutes the refereed court cases of the nineteenth foreign convention at the concept and alertness of Cryptology and knowledge, Asiacrypt 2013, held in Bengaluru, India, in December 2013. The fifty four revised complete papers provided have been rigorously chosen from 269 submissions. they're geared up in topical sections named: zero-knowledge, algebraic cryptography, theoretical cryptography, protocols, symmetric key cryptanalysis, symmetric key cryptology: schemes and research, side-channel cryptanalysis, message authentication codes, signatures, cryptography established upon actual assumptions, multi-party computation, cryptographic primitives, research, cryptanalysis and passwords, leakage-resilient cryptography, two-party computation, hash functions.
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The two-volume set LNCS 8269 and 8270 constitutes the refereed court cases of the nineteenth overseas convention at the concept and alertness of Cryptology and data, Asiacrypt 2013, held in Bengaluru, India, in December 2013. The fifty four revised complete papers offered have been rigorously chosen from 269 submissions.
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Extra info for Advances in Cryptology - ASIACRYPT 2013: 19th International Conference on the Theory and Application of Cryptology and Information Security, Bengaluru, India, December 1-5, 2013, Proceedings, Part I
Goyal et al. Statistically binding commitment schemes. In our constructions, we will make use of a statistically binding string commitment scheme, denoted Com. For simplicity of exposition, we will make the simplifying assumption that Com is a non-interactive perfectly binding commitment scheme. g. . Unless stated otherwise, we will simply use the notation Com(x) to denote a commitment to a string x, and assume that the randomness (used to create the commitment) is implicit. We will denote by Com(x; r) a commitment to a string x with randomness r.
We will denote such an argument system by PWI , VWI . The universal argument of . In our construction, we will use the 4-round universal argument system (UA), denoted pUA presented in  and based on the existence of collision-resistant hash functions. We will assume without loss of generality that the initial commitment of the PCP sent by the prover in the second round also contains a commitment of the statement. We notice that such an argument system is still sound when the prover is required to open the commitment of the statement in the very last round.
Note that CRSv is independent of the parameter. Prover P. Given candidate l = x · A with witness vector x, the prover generates the following proof consisting of s elements in G1 : p := x · CRSp Veriﬁer V. Given candidate l , and a proof p, the veriﬁer checks the following: e l ? 1×s p , CRSv = 0T The security of the above system depends on the DDH assumption in group G2 . Since G2 is a bilinear group, this assumption is known as the XDH assumption. These assumptions are standard and are formally described in .
Advances in Cryptology - ASIACRYPT 2013: 19th International Conference on the Theory and Application of Cryptology and Information Security, Bengaluru, India, December 1-5, 2013, Proceedings, Part I by Charanjit S. Jutla, Arnab Roy (auth.), Kazue Sako, Palash Sarkar (eds.)