Advances in Cryptology — CRYPTO ’87: Proceedings by Wyn L. Price (auth.), Carl Pomerance (eds.)

By Wyn L. Price (auth.), Carl Pomerance (eds.)

This publication is the complaints of CRYPTO '87, one in a chain of annual meetings dedicated to cryptologic learn. CRYPTO '87 used to be attended by way of one hundred seventy humans representing 19 nations. The papers during this quantity are offered in seven sections. the 1st six sections include all the papers at the common software, together with papers that weren't offered on the assembly. The 7th part comprises the various papers offered at a "Rump Session". the most sections care for the next themes: verbal exchange networks and criteria; protocols; key distribution structures; public key structures; layout and research of cryptographic structures; and functions.

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We also present an adaptive version where the bits to be revealed anz decided on-line by the verifier. and a public input x are given. W)E Q. For example, the witness can be a certificate of the membership of x in an NP language. The possession of the witness can be proved using a minimum-knowledge simulation of the computation of the predicate Q. Similarly, the prover can demonstrate that he has a wimess w either to the fact that X E L or to the fact that x e L, where L E NP n CO-I”, without revealing to the verifier which is the case.

29 From now on we aSSume that there is a warden who reads all what verifier and passport holder send. He performs himself the verification step. We could also easily assume that all this is done in public. SO that everybody knows what t , e and so on are. X warden was also used by Simmons ~71. In the case that the passport holder communicates, there areseveral dangers that the passport holder wants certainly to avoid. Indeed he is willing to communicate with the passport verifier, but he prefers (if possible) not to loose his identification secret.

The prover opens the outputs, which have to be y and the result C ( 4 . The verifier is convinced that the computation must have used the input to which the prover committed himself earlier. 3. Direct Minimum-Knowledge Computations In this section, we show how any one-way permutation may be used in direct minimum-knowledge interactive simulation of a computation. Let P be the prover and V the verifier. e. a copy of a circuit or of a computation history of a Turing machine). This copy includes encoding of the possible input, intermediate results, and output data.

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