Download Advances in Cryptology - CRYPTO 2009: 29th Annual by Nadia Heninger, Hovav Shacham (auth.), Shai Halevi (eds.) PDF

By Nadia Heninger, Hovav Shacham (auth.), Shai Halevi (eds.)

This booklet constitutes the refereed court cases of the twenty ninth Annual foreign Cryptology convention, CRYPTO 2009, held in Santa Barbara, CA, united states in August 2009.

The 38 revised complete papers offered have been conscientiously reviewed and chosen from 213 submissions. Addressing all present foundational, theoretical and study points of cryptology, cryptography, and cryptanalysis in addition to complex purposes, the papers are geared up in topical sections on key leakage, hash-function cryptanalysis, privateness and anonymity, interactive proofs and zero-knowledge, block-cipher cryptanalysis, modes of operation, elliptic curves, cryptographic hardness, merkle puzzles, cryptography within the actual global, assaults on signature schemes, mystery sharing and safe computation, cryptography and game-theory, cryptography and lattices, identity-based encryption and cryptographers’ toolbox.

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Additional info for Advances in Cryptology - CRYPTO 2009: 29th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 16-20, 2009. Proceedings

Example text

The following encryption scheme has a secret key of size essentially k log q bits (k group elements), and is resilient to any leakage of λ ≤ (k −d) log q −ω(log n)− m bits, where m is the length of plaintexts. That is, the scheme is resilient to any leakage of essentially a (1 − d/k)-fraction of the length of the secret key. – Key generation: Choose x ∈ Zkq and Φ ∈ Gd×k uniformly at random. Let y = Φx ∈ Gd , and output the keys SK = x, P K = (Φ, y) . (k−d)×d – Encryption: On input a message M , choose R ∈ Zq uniformly at random, and output the ciphertext and s ∈ {0, 1}t (RΦ, s, Ext (Ry, s) ⊕ M ) .

LNCS, vol. 1294, pp. 513–525. Springer, Heidelberg (1997) 4. : On the importance of checking cryptographic protocols for faults. In: Fumy, W. ) EUROCRYPT 1997. LNCS, vol. 1233, pp. 37–51. Springer, Heidelberg (1997) 5. : Circular-secure encryption from decision diffie-hellman. In: Wagner, D. ) CRYPTO 2008. LNCS, vol. 5157, pp. 108–125. Springer, Heidelberg (2008) 6. : Exposure-resilient functions and all-or-nothing transforms. In: Preneel, B. ) EUROCRYPT 2000. LNCS, vol. 1807, pp. 453–469. Springer, Heidelberg (2000) 7.

Let k = k(n) ≥ d + 1 be any polynomial, and let Ext : Gk−d × {0, 1}t → {0, 1}m be a ((k − d) log q, )-strong extractor for some negligible = (n). We define a hash proof system HPS = (Param, Pub, Priv) as follows. The algorithm Param(1n ) generates instances (group, K, C, V, SK, PK, Λ, μ), where: – group = (G, Φ, s), where Φ ∈ Gd×k and s ∈ {0, 1}t are chosen uniformly at random. (k−d)×d – C = G(k−d)×k , V = RΦ : R ∈ Zq , K = {0, 1}m. 2 SK = Zkq , PK = Gd . For sk = x ∈ SK we define μ(sk) = Φx ∈ PK.

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