By Dan Boneh (auth.), Xiaoyun Wang, Kazue Sako (eds.)
This booklet constitutes the refereed lawsuits of the 18th foreign convention at the conception and alertness of Cryptology and knowledge protection, Asiacrypt 2012, held in Beijing, China, in December 2012. The forty three complete papers offered have been conscientiously reviewed and chosen from 241 submissions. they're equipped in topical sections named: public-key cryptography, starting place, symmetric cipher, protection evidence, lattice-based cryptography and quantity thought, hash functionality, cryptographic protocol, and implementation issues.
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Extra info for Advances in Cryptology – ASIACRYPT 2012: 18th International Conference on the Theory and Application of Cryptology and Information Security, Beijing, China, December 2-6, 2012. Proceedings
Let SIG2 be the scheme obtained from POSb (with mode = extended) and xSIG. Vrf evaluates pairing product equations. From Theorem 21, 32, and 33, we obtain the following theorem. Theorem 34. SIG2 is a structure-preserving signature scheme that is unforgeable against adaptive chosen message attacks if SXDH and XDLIN1 hold for G. 7 Efficiency, Applications and Open Questions Efficiency. Table 1 summarizes the efficiency of SIG1 and SIG2. For SIG2 we consider both uniliteral and biliteral messages.
There exists an adversary B2 such that |pnorm (λ)| i−1 (λ) − pi dlin AdvG,B2 (λ). = Game q: All sigantures that given by the oracle are simulation-type signatures. Lemma 28. There exists an adversary B3 such that pnorm (λ) = Advcdh G,B3 (λ). q We have shown that in Game q, A can output a normal-type forgery with at most negligible probability. Thus, by Lemma 27 we can conclude that the same is true in Game 0 and it holds q sim norm Advuf-rma (λ) ≤ psim rSIG,A (λ) = p0 (λ) = p0 (λ) + p0 0 (λ) + norm |pnorm (λ)| + pnorm (λ) i−1 (λ) − pi q i=1 dlin cdh dlin ≤ Advdlin G,B1 (λ) + qAdvG,B2 (λ) + AdvG,B3 (λ) ≤ (q + 2) · AdvG,B (λ) .
In: Ishai, Y. ) TCC 2011. LNCS, vol. 6597, pp. 347–363. Springer, Heidelberg (2011) 29. : Simulation-Sound NIZK Proofs for a Practical Language and Constant Size Group Signatures. , Chen, K. ) ASIACRYPT 2006. LNCS, vol. 4284, pp. 444–459. Springer, Heidelberg (2006) 30. : Efficient Non-interactive Proof Systems for Bilinear Groups. P. ) EUROCRYPT 2008. LNCS, vol. 4965, pp. 415–432. Springer, Heidelberg (2008) 31. : Tightly Secure Signatures and Public-Key Encryption. In: SafaviNaini, R. ) CRYPTO 2012.
Advances in Cryptology – ASIACRYPT 2012: 18th International Conference on the Theory and Application of Cryptology and Information Security, Beijing, China, December 2-6, 2012. Proceedings by Dan Boneh (auth.), Xiaoyun Wang, Kazue Sako (eds.)