By Shai Halevi
This ebook 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 awarded have been rigorously reviewed and chosen from 213 submissions. Addressing all present foundational, theoretical and study facets of cryptology, cryptography, and cryptanalysis in addition to complicated functions, the papers are prepared 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 international, 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 (Lecture ... Computer Science Security and Cryptology)
SK, P K) ← G(1n ). Leakage(SK) (P K) such that |M0 | = |M1 |. (M0 , M1 , state) ← A1 C ← Epk (Mb ). b ← A2 (C, state) Output b . 28 M. Naor and G. Segev Challenge-dependent key leakage. Note that the adversary is not allowed to access the leakage oracle after the challenge phase. This restriction is necessary: the adversary can clearly encode the decryption algorithm, the challenge ciphertext, and the two messages M0 and M1 into a function that outputs the bit b. It will be very interesting to ﬁnd an appropriate deﬁnition that allows a certain form of challenge-dependent leakage.
That is, given a public key and an invalid ciphertext, the distribution of the encapsulated key (as it will be produced by the decryption process) is almost uniform. This is achieved 26 M. Naor and G. Segev by introducing redundancy into the secret key: each public key has many corresponding secret keys. The only computational requirement is that the two modes are computational indistinguishable: any eﬃcient adversary that is given a public key cannot distinguish with a noticeable advantage between valid ciphertexts and invalid ciphertexts.
Showed that the lattice-based public-key encryption scheme of Regev  is resilient to such key leakage (to an extent that depends on the amount of leakage) by slightly strengthening the computational assumption that is required by the original scheme. 1 Our Contributions In this work we revisit the framework of key-leakage attacks introduced by Akavia et al. in the setting of public-key encryption. We present a generic construction of a public-key encryption scheme that is resilient to key leakage, and show that the construction can be based on a variety of number-theoretic assumptions (see below).
Advances in Cryptology - CRYPTO 2009: 29th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 16-20, 2009, Proceedings (Lecture ... Computer Science Security and Cryptology) by Shai Halevi