Dan Boneh (auth.), Xiaoyun Wang, Kazue Sako (eds.)'s Advances in Cryptology – ASIACRYPT 2012: 18th International PDF

By Dan Boneh (auth.), Xiaoyun Wang, Kazue Sako (eds.)

ISBN-10: 3642349609

ISBN-13: 9783642349607

ISBN-10: 3642349617

ISBN-13: 9783642349614

This ebook constitutes the refereed court cases of the 18th foreign convention at the idea and alertness of Cryptology and knowledge safeguard, Asiacrypt 2012, held in Beijing, China, in December 2012. The forty three complete papers awarded have been rigorously reviewed and chosen from 241 submissions. they're equipped in topical sections named: public-key cryptography, starting place, symmetric cipher, safety facts, lattice-based cryptography and quantity concept, hash functionality, cryptographic protocol, and implementation issues.

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Additional 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

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26. : A digital signature scheme secure against adaptive chosen-message attacks. SIAM Journal on Computing 17(2), 281–308 (1988) 27. : Universally Composable Adaptive Oblivious Transfer. In: Pieprzyk, J. ) ASIACRYPT 2008. LNCS, vol. 5350, pp. 179–197. Springer, Heidelberg (2008) 28. : Practical Adaptive Oblivious Transfer from Simple Assumptions. 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.

36 M. Gerbush et al. Forgery Classes. We will divide verifiable forgeries according to their correlation in the Gp2 subgroup, similar to the way we have defined the signatures from the SignA and SignB algorithms. We let z be an exponent in ZN . By the Chinese Remainder Theorem, we can represent z as an ordered tuple (z1 , z2 , z3 ) ∈ Zp1 × Zp2 × Zp3 , where z1 = z mod p1 , z2 = z mod p2 , and z3 = z mod p3 . Letting (z1 , z2 , z3 ) = (0 mod p1 , 1 mod p2 , 0 mod p3 ) and g2 be a generator of Gp2 , we define the forgery classes as follows: Type I forgeries are of the form VI = r (x +m∗ xe ye ) {(m∗ , σ ∗ ) ∈ V|(σ1∗ )z = g2r , (σ2∗ )z = g2r ye , (σ3∗ )z = g2 e for some r }, while Type II are of the formVII = {(m∗ , σ ∗ ) ∈ V|(m∗ , σ ∗ ) ∈ VI }.

S7 ). Also parse vk accordingly. Verify the following pairing product equations: e(S7 , M5 M6 H) = e(G, S0 ) e(S1 , B) e(S2 , B1 ) e(S3 , A1 ) = e(S6 , R1 ) e(S7 , W1 ) e(S1 , B) e(S4 , B2 ) e(S5 , A2 ) = e(S6 , R2 ) e(S7 , W2 ) e(X1 , X2 ) e(F, M1 ) = e(C, M3 ), e(F, M2 ) = e(C, M4 ), e(U1 , M1 ) = e(C, M5 ), e(U2 , M2 ) = e(C, M6 ) The scheme is structure-preserving by construction and the correctness is easily verified. Theorem 24. The above rSIG scheme is UF-RMA under the DLIN assumption.

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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.)


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