Read e-book online Advances in Cryptology — CRYPTO '98: 18th Annual PDF

By Daniel Bleichenbacher (auth.), Hugo Krawczyk (eds.)

ISBN-10: 3540648925

ISBN-13: 9783540648925

This e-book constitutes the refereed lawsuits of the 18th Annual overseas Cryptology convention, CRYPTO'98, held in Santa Barbara, California, united states, in August 1998. The ebook offers 33 revised complete papers chosen from a complete of a hundred and forty four submissions obtained. additionally incorporated are invited displays. The papers are geared up in topical sections on selected ciphertext protection, cryptanalysis of hash services and block ciphers, dispensed cryptography, 0 wisdom, and implementation.

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Additional info for Advances in Cryptology — CRYPTO '98: 18th Annual International Cryptology Conference Santa Barbara, California, USA August 23–27, 1998 Proceedings

Example text

The group G is the subgroup of order q in Z∗p . We restrict a message to be an element of the set {1, . . , q}, and “encode” it by squaring it modulo p, giving us an element in G. We can recover a message from its encoding by computing the unique square root of its encoding modulo p that is in the set {1, . . , q}. For the hash function, one could use a function like SHA-1, or possibly some keyed variant, and make the appropriate collision-resistance assumption. However, it is only marginally more expensive to do the following, which is based only on the hardness of discrete logarithms in G.

Proof. Follows from Theorems 6 and the RO-version of Theorem 2. The above results say that PA ⇒ IND-CCA2 ⇒ NM-CCA2. In the other direction, we have the following, whose proof is in [2]. Theorem 7. [IND-CCA2⇒PA] If there exists an encryption scheme Π which is secure in the RO sense of IND-CCA2, then there exists an encryption scheme Π which is secure in the RO sense of IND-CCA2 but which is not secure in the sense of PA. 3 Proof of Theorem 6 Intuition. The basic idea for proving chosen ciphertext security in the presence of some kind of proof of knowledge goes back to [15,16,7,10].

HqH , HqH )) all of B’s H-oracle queries, h1 , . . , hqH , and the corresponding answers, H1 , . . , HqH . Form into a list C = (y1 , . . , yqE ) H the answers (ciphertexts) received as a result of Epk -queries. ) Finally, record B’s output, y. Definition 3. [Plaintext Awareness – PA] Let Π = (K, E, D) be an encryption scheme, let B be an adversary, and let K be an algorithm (the “knowledge def extractor”). For any k ∈ N let Succpa K,B,Π (k) = Pr H ← Hash ; (pk, sk) ← K(1k ) ; H H (hH , C, y) ← run B H,Epk (pk) : K(hH , C, y, pk) = Dsk (y) .

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Advances in Cryptology — CRYPTO '98: 18th Annual International Cryptology Conference Santa Barbara, California, USA August 23–27, 1998 Proceedings by Daniel Bleichenbacher (auth.), Hugo Krawczyk (eds.)


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