Advances in Cryptology – CRYPTO 2014: 34th Annual Cryptology by Juan A. Garay, Rosario Gennaro

Machine Theory

By Juan A. Garay, Rosario Gennaro

The volume-set, LNCS 8616 and LNCS 8617, constitutes the refereed lawsuits of the thirty fourth Annual overseas Cryptology convention, CRYPTO 2014, held in Santa Barbara, CA, united states, in August 2014.

The 60 revised complete papers awarded in LNCS 8616 and LNCS 8617 have been conscientiously reviewed and chosen from 227 submissions. The papers are geared up in topical sections on symmetric encryption and PRFs; formal tools; hash capabilities; teams and maps; lattices; uneven encryption and signatures; aspect channels and leakage resilience; obfuscation; FHE; quantum cryptography; foundations of hardness; number-theoretic hardness; information-theoretic safeguard; key alternate and safe verbal exchange; 0 wisdom; composable safety; safe computation - foundations; safe computation - implementations.

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Extra info for Advances in Cryptology – CRYPTO 2014: 34th Annual Cryptology Conference, Santa Barbara, CA, USA, August 17-21, 2014, Proceedings, Part I

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Is upper bounded by (2n − ρ)! ≤ (2n )! 1 2n − ρ + 1 ρ ≤ 1 . 2ρ(n−1) The theorem follows by a union bound over all possible keys. 28 Y. Dai et al. fix distinct m1 , . . , mρ ∈ {0, 1}n for r = 1 to ρ do query ci ← R(mi ) ∗ = (k1∗ . . k∗ /2 ) ∈ {0, 1}κ /2 forall kL ∗ ← Ek ∗ query ai,kL ◦ · · · ◦ Ek1∗ (mi ) /2 ∗ = (k∗ /2 +1 . . k∗ ) ∈ {0, 1}κ /2 forall kR −1 ∗ ← E ∗ query bi,kR ◦ · · · ◦ Ek−1 ∗ (ci ) k /2 +1 ∗ ∗ forall (kL , kR ) ∈ {0, 1}κ /2 × {0, 1}κ ∗ ∗ for all i = 1, . . , ρ if ai,kL = bi,kR return 1 return 0 /2 ( ) Fig.

Thus either − (ki , xi−1 , xi ) ∈ Q+ E or (ki , xi−1 , xi ) ∈ QE for h + 1 ≤ i ≤ hν+ r. Let ν’s signature sig be the string sig ν ∈ {+, −}r such that (ki , xi−1 , xi ) ∈ QE i for h+1 ≤ i ≤ h+r. 0 r We start by fixing a signature sig ∈ {+, −} and by upper bounding the number of r-chains ν of τ starting at position h such that sig ν = sig 0 . , that the number of −’s is at least r/2 . If ν = (h, xh , kh+1 , xh+1 , . . , kh+r , xh+r ) is a ν-chain with signature sig 0 then there are, firstly, at most min{q, N } choices for xh given that (kh+1 , xh , xh+1 ) ∈ QE .

Indistinguishability amplification. In: Menezes, A. ) CRYPTO 2007. LNCS, vol. 4622, pp. 130–149. Springer, Heidelberg (2007) 29. : Computational indistinguishability amplification: Tight product theorems for system composition. In: Halevi, S. ) CRYPTO 2009. LNCS, vol. 5677, pp. 355–373. Springer, Heidelberg (2009) 30. : Triple and Quadruple Encryption: Bridging the Gap. pdf 31. : On the Security of Multiple Encryption. Communications of the ACM 24(7), 465–467 (1981); See also: Communications of the ACM 24(11), 776 (1981) 32.

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