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

By Juan A. Garay, Rosario Gennaro

The volume-set, LNCS 8616 and LNCS 8617, constitutes the refereed complaints 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 rigorously reviewed and chosen from 227 submissions. The papers are equipped in topical sections on symmetric encryption and PRFs; formal tools; hash services; teams and maps; lattices; uneven encryption and signatures; part channels and leakage resilience; obfuscation; FHE; quantum cryptography; foundations of hardness; number-theoretic hardness; information-theoretic safeguard; key alternate and safe communique; 0 wisdom; composable safeguard; safe computation - foundations; safe computation - implementations.

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

Example text

Thus X is a random variable of range T , and the distribution of X is exactly the distribution of transcripts in the real world. We similarly define Y : ΩY → T , so that Y is the transcript distribution in the ideal world. The H-coefficient technique [36, 37], in its simplest form, states that if we can divide T into a set of (so-called) “good” transcripts T1 and (so-called) “bad” transcripts T2 , such that8 Pr[X = τ ] ≥ 1 − ε1 Pr[Y = τ ] (4) for some ε1 > 0 and for all τ ∈ T1 , then the adversary’s distinguishing advantage is upper bounded by Pr[Y ∈ T2 ] + ε1 .

Note that back-of-the-envelope computations suggest that fwd(τ ) and bwd(τ ) should be around q/N for q ≥ N = 2n and should be around log(q) ≤ n for q ≤ N . This motivates the definition of the following threshold ζ(q): ⎧ ⎪ ⎨3 log(q) + 2 if q ≤ N, ζ(q) := 7nq/N if N ≤ q ≤ nN, ⎪ ⎩ 14q/N if nN ≤ q. For now, the factors 3 log(q) + 2, 7n and 14 that appear in the definition of ζ(q) should be more or less ignored; these coefficients are necessary to make bad transcripts, as defined next, unlikely. (We distinguish between the cases N ≤ q ≤ nN and nN ≤ q only so that we can give a slightly sharper bound in the latter case.

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