Suppose we are given a proof of knowledge P in which a prover demonstrates that he knows a solution to a given problem instance. Suppose also that we have a secret sharing scheme S on n participants. Then under certain assumptions on P and S , we show how to transform P into a witness indistinguishable protocol, in which the prover demonstrates knowledge of the solution to some subset of n problem instances out of a collection of subsets defined by S . For example, using a threshold scheme, the prover can show that he knows at least d out of n solutions without revealing which d instances are involved. If the instances are independently generated, we get a witness hiding protocol, even if P did not have this property. Our results can be used to efficiently implement general forms of group oriented identification and signatures. Our transformation produces a protocol with the same number of rounds as P and communication complexity n times that of P . Our results use no unproven complexity assumptions.
|Titel||Advances in Cryptography - Eurocrypt'94 (Santa Barbara CA, USA, August 21-25, 1994)|
|Plaats van productie||Berlin|
|ISBN van geprinte versie||3-540-58333-5|
|Status||Gepubliceerd - 1994|
|Naam||Lecture Notes in Computer Science|
|ISSN van geprinte versie||0302-9743|