By Dan Boneh (auth.), Xiaoyun Wang, Kazue Sako (eds.)
This publication constitutes the refereed court cases of the 18th foreign convention at the idea and alertness of Cryptology and knowledge safety, 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, beginning, symmetric cipher, safeguard evidence, lattice-based cryptography and quantity thought, 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
Recall that gk = ˆ F2 , F3 , Fˆ2 , Fˆ3 , U, U ˆ ) with Λ = (p, G1 , G2 , GT , e) is generated by Setup(1λ ) (Λ, G, G, in advance. Gen(gk): On input gk, select generators V, V , H ← G1 , Vˆ , Vˆ , H ˆ ˆ ˆ ˆ ˆ such that V ∼ V , V ∼ V , H ∼ H, F2 ∼ F2 , F3 ∼ F3 and exponent ˆ := Vˆ (Vˆ )a , and set a, b, α ← Zp and ρ ← Z∗p , compute R := V (V )a , R b ˆ a ˆ ba ˆ ˆ b α a b ˆ vk := (gk, G , G , G , R, R , sk := (V K, G , G , G ). Sign(sk, msg): On input message msg = (M 3 ˆ r1 , ˆ G2 (m ∈ Zp ), select r1 , r2 ← Zp , set r := r1 + r2 , compute σ0 := (M0 H) α r r −z b z b r2 r1 σ1 := G V , σ2 := (V ) G , σ3 := (G ) , σ4 := (G ) , and σ5 := G , and output σ := (σ0 , σ1 , .
If we let g1 , g2 , g3 denote generators of the subgroups Gp1 , Gp2 , and Gp3 respectively, then every element h in G can be expressed as h = g1a g2b g3c for some a, b, c ∈ ZN . We refer to g1a as the “Gp1 part” or “Gp1 component” of h. If we say that an h has no Gp2 component, for example, we mean that b ≡ 0 mod p2 . Below, we will often use g to denote an element of Gp1 (as opposed to writing g1 ). e. groups G and GT are each of prime order q with an eﬃciently computable bilinear map e : G2 → GT .
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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.)