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

This booklet is the lawsuits of CRYPTO '87, one in a chain of annual meetings dedicated to cryptologic examine. CRYPTO '87 used to be attended through one hundred seventy humans representing 19 nations. The papers during this quantity are awarded in seven sections. the 1st six sections include the entire papers at the general application, together with papers that weren't provided on the assembly. The 7th part comprises many of the papers provided at a "Rump Session". the most sections take care of the subsequent issues: conversation networks and criteria; protocols; key distribution structures; public key platforms; layout and research of cryptographic platforms; and purposes.

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Suppose a prover w a r n to demonstrate that he computes C(x) with a value x that he knows, and to which he has committed himself [24]. The commitment is done at the beginning of the protocol, when the prover sends y , where y=&) is the image of x under a one-way function. ). 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.

Ti,, so maximum kZ trials. nbJ=l nbJ=lrl is treated as t. SOBob Step 10 The protccol continues as before. This means that rl chooses the next e, and Alice answers and Bob verifies. 34 The reader wondering about the problem that Bob (the verifier) can decide to stop in a stage that is not the end of the subliminal protocol, has to take the following into consideration. If Daisy is able to intercept the next verification of Alice’s passport (by who so ever) then no problem exists. Proofs of security can be found in [6].

Alice can evidently pretend that she hired her secret to Brigitte, but who will believe her! One could conclude that the identification protocol is in fact a protocol of identification of the secret f i instead of identifying the individual. This is the same conclusion as in IS]. To overcome this problem Desmedt and Quisquater proposed a technique that prevents copying of 6. Remark that their solution does however not solve this fraud! Because the above fraud is also possible with the actual passports ( e .