Get Advances in Cryptology — CRYPTO '98: 18th Annual PDF

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

ISBN-10: 3540648925

ISBN-13: 9783540648925

This publication constitutes the refereed complaints 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 one hundred forty four submissions bought. additionally integrated are invited displays. The papers are geared up in topical sections on selected ciphertext safety, cryptanalysis of hash capabilities and block ciphers, disbursed cryptography, 0 wisdom, and implementation.

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Example text

The adversary A is defined in Figure 2. Analysis. To reason about the behavior of A we define a sequence of adversaries B1 , . . , Bq , where q is the number of decryption queries made by A. Using the existence of B1 , B2 , . . we can lower bound the probability of the correctness of K’s answers in A1 . The analysis can be found in [2]. Acknowledgments Following an oral presentation of an earlier version of this paper, Moni Naor suggested that we present notions of security in a manner that treats the goal and the attack model orthogonally [22].

Algorithm Epk Algorithm K (1k ) (pk, sk) ← K(1k ) y ← Epk (x) u, v ← {0, 1}k return 0 y pk ← pk u sk ← sk u v return (pk , sk ) u (x) Algorithm Dsk u v (b y) if b = 0 then return Dsk (y) else if y = u then return v else if y = v return sk else return ⊥ Analysis. The proof of Theorem 4 is completed by establishing that Π is vulnerable to a IND-CCA1 attack but remains NM-CPA secure. The proofs of these claims can be found in [2]. 5 Proof of Theorem 5 The approach, as before, is to take a NM-CCA1 secure encryption scheme Π = (K, E, D) and modify it to a new encryption scheme Π = (K , E , D ) which is also NM-CCA1 secure, but can be broken in the NM-CCA2 sense.

We extend the set membership notation to vectors, writing x ∈ x or x ∈ x to mean, respectively, that x is in or is not in the set {x[i] : 1 ≤ i ≤ |x|}. It will be convenient to extend the decryption notation to vectors with the understanding that operations are performed componentwise. Thus x ← Dsk (y) is shorthand for the following: for 1 ≤ i ≤ |y| do x[i] ← Dsk (y[i]). We will consider relations of arity t where t will be polynomial in the security parameter k. Rather than writing R(x1 , . .

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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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