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

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

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

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Extra resources 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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209–236. Springer, Heidelberg (2010) 2. : Optimal Structure-Preserving Signatures in Asymmetric Bilinear Groups. In: Rogaway, P. ) CRYPTO 2011. LNCS, vol. 6841, pp. 649–666. Springer, Heidelberg (2011) 3. : Separating Short Structure-Preserving Signatures from Noninteractive Assumptions. H. ) ASIACRYPT 2011. LNCS, vol. 7073, pp. 628– 646. Springer, Heidelberg (2011) 4. : Signing on group elements for modular protocol designs. org 5. : A framework for universally composable non-committing blind signatures.

Let SIG1 be the signature scheme obtained from TOS (with mode = extended) and rSIG by following the first generic construction in Section 4. From Theorem 17, 20, 23, and 24, the following is immediate. Theorem 30. SIG1 is a structure-preserving signature scheme that yields constant-size signatures, and is UF-CMA under the DLIN assumption. t. t. algorithm B cma dlin such that AdvufSIG1,A (λ) ≤ (qs + 3) · AdvG,B (λ) + 1/p. Constant-Size Structure-Preserving Signatures under Simple Assumptions 19 6 Instantiating SIG2 We instantiate the POS and xSIG building blocks of our second generic construction to obtain our second SPS scheme.

The adversary, A, is given the verification key VK and oracle access to O0 = SignA (·) and O1 = SignB (·). 3. A outputs a challenge message, m. 4. A random bit, b ← {0, 1}, is chosen, and then a signature σ ← Ob (m) is computed and given to A. We call σ the challenge signature. 5. A continues to have oracle access to O0 and O1 . 6. A outputs a forgery pair (m∗ , σ ∗ ), where A has not already received a signature for m∗ . We say that a dual form signature scheme has dual-oracle invariance if, for all PPT attackers A, there exists a negligible function, negl(λ), in the security parameter λ such that |P r[(m∗ , σ ∗ ) ∈ VI |b = 1] − P r[(m∗ , σ ∗ ) ∈ VI |b = 0]| = negl(λ).

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