By Mike V. D. Burmester, Yvo Desmedt (auth.), Ivan Bjerre Damgård (eds.)
Eurocrypt is a convention dedicated to all features of cryptologic learn, either theoretical and sensible, subsidized by way of the overseas organization for Cryptologic study (IACR). Eurocrypt ninety came about in Åarhus, Denmark, in may possibly 1990. From the eighty five papers submitted, forty two have been chosen for presentation on the convention and for inclusion during this quantity. as well as the formal contributions, brief abstracts of a couple of casual talks are incorporated in those court cases. The lawsuits are prepared into classes on protocols, number-theoretic algorithms, boolean services, binary sequences, implementations, combinatorial schemes, cryptanalysis, new cryptosystems, signatures and authentication, and impromptu talks.
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Extra resources for Advances in Cryptology — EUROCRYPT ’90: Workshop on the Theory and Application of Cryptographic Techniques Aarhus, Denmark, May 21–24, 1990 Proceedings
For example assume that for two message bits the probably different pairs A and B have the Same product Res then Alice does not know whether the first message reaches Bob but she knows that either both message reach Bob or none of the two message bits. This dependency is exploited by using the same product Res or Res J for sending the bits of a single message and also in the One out of Two Messages Oblivious transfer. The protocols for One out of Two Messages Oblivious Transfer are done by using the same residue Res twice but once with Res as product of two residues and once Res J as product of two residues.
Later, we will use this bit commitnient scheme to obtain Non-Interactive Perfect Zero-Knowledge Arguments for all NP languages. Zero-Knowledge P r o o f s and Arguments. Goldwasser, Micah, and Rackoff [Gh/lR] introduced the notion of Interactive ZeroKnowledge Proof System. This allows an iririnitcly powerful (but not trusted) prover to convince a probabilistic polynomial time verifier that a certain theorem is true without revealing any other information. In a Computational Zero-Knowledge Proof all the inforniation about the theorcm and its proof is givcn, but it would take more than polynoinial time for the veiifier to extract it.
Our protocol can be easily modified to implement a 1-out-k OT. ,2 i - I E Z:’, such that exactly ~ui,), one z; is a quadratic non rcsiduc. z:-1, Sli, = (prime factors of xu), where \/do = (Non-Interactive Zero-Knowledge proof, in thc scnsc or [BFM], t h a t PI<, has been correctly computed). ,k - 1. Notice that if A docs not permute the s, this is a protocol for 1-out-k disclosure in which the receiver “secretly” chooses 1 out of k secrets (defined in [BCR]). zi, 5 Non-Interactive Perfect Zero-Knowledge Argument s B i t - C o m m i t m e n t i n tlie Public-Key Public-Randomness Model.