By Charanjit S. Jutla, Arnab Roy (auth.), Kazue Sako, Palash Sarkar (eds.)
The two-volume set LNCS 8269 and 8270 constitutes the refereed lawsuits of the nineteenth foreign convention at the thought and alertness of Cryptology and data, Asiacrypt 2013, held in Bengaluru, India, in December 2013. The fifty four revised complete papers provided have been conscientiously chosen from 269 submissions. they're prepared 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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Additional 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
Org/ 16. : Round-optimal password-based authenticated key exchange. In: Ishai, Y. ) TCC 2011. LNCS, vol. 6597, pp. 293–310. Springer, Heidelberg (2011) 17. : Tools for simulating features of composite order bilinear groups in the prime order setting. , Johansson, T. ) EUROCRYPT 2012. LNCS, vol. 7237, pp. 318–335. Springer, Heidelberg (2012) 18. : Public-key cryptosystems provably secure against chosen ciphertext attacks. In: 22nd ACM STOC Annual ACM Symposium on Theory of Computing. ACM Press (May 1990) 19.
This leads to a proof of soundness of the QA-NIZK. Shorter Quasi-Adaptive NIZK Proofs for Linear Subspaces 11 Remark. Observe from the proof above that the soundness can be based on the following computational assumption which is implied by XDH, which is a decisional assumption: Deﬁnition 1. Consider a generation algorithm G taking the security parameter as input, that outputs a tuple (q, G1 , G2 , GT , e, g1 , g2 ), where G1 , G2 and GT are groups of prime order q with generators g1 , g2 and e(g1 , g2 ) respectively and which allow an eﬃciently computable Zq -bilinear pairing map e : G1 × G2 → GT .
This slot now constitutes a “hard statement” certiﬁed by the veriﬁer: it could be used by the prover in any session (with this veriﬁer). If the prover could prove that he has a signed slot such that the machine committed to in this slot could output the veriﬁer random string in this slot, the veriﬁer would be instructed to accept. Thus, the simulator would now simply take the ﬁrst slot that completes (across all sessions), and, would prove the resulting “hard statement” in the universal arguments of all the sessions.