By Mike V. D. Burmester, Yvo Desmedt (auth.), Ivan Bjerre Damgård (eds.)
Eurocrypt is a convention dedicated to all points of cryptologic examine, either theoretical and sensible, backed by way of the overseas organization for Cryptologic examine (IACR). Eurocrypt ninety happened 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 integrated in those court cases. The court cases are geared up into periods on protocols, number-theoretic algorithms, boolean features, 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
The validation of the public key is just a non-interactive Zero-Knowledge proof of the N P statement "z is product of two primes and 9 is a quadratic non residue modulo 2'. This proof is obtained in a direct manner, that is without making use of reduction to 3SAT and, most importantly, the same string u can bc uscd by any number of users to certify thcir own public ltcy entry. To provc that the algorithm V e ~ i j 2 / P u l l i c l < esatisfies y the Verifiability requiremcnt, we have to show that if either I is not product of two primes or y is not a quadratic non residue then with very high probability the algorithm VerifijPublicKey outputs NONVALID.
Our implementation is also secure against receivers computational power. We propose the jirs~ implementation of non-interactive Zero-Knowledge in the dual model of Brassard, Crbpeau, NP-languages. 1 of Oblivious with unlimited nature for Perfect and Chaum for all Introduction The Public Key model, introduced by Difie and Hellman [DH], suggests and eficicnt way to eliminate the need for preliminary secure interaction essential encryption in Private-Key key P/i has been established, Cryptography.
Because every residue which can be written as a a residue in the power M also can be written as a residue in the power 2M Bob gets no i n f o d o n about the secret bit c. But Alice can only change her commitment if she can write L as a residue in the power 2M and that is equivalent to factoring N. So here w e have a bitcommitment scheme with unconditional secrecy and au- thenticity based on the difficulty of factoring. 44 Initializing protocol in a bounded number of rounds In [SP]a One out of Two Oblivious Transfer is presented where the initializing protocol is a single message (half a round) under the assumption of Trusted Randomness.