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Comparing Entropies in Statistical Zero-Knowledge with Applications to the Structure of SZK

by: Oded Goldreich, Salil P Vadhan
Electronic Colloquium on Computational Complexity (ECCC), Vol. 5, No. 063. (1998)


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We consider the following (promise) problem, denoted ED (for Entropy Difference): The input is a pairs of circuits, and yes instances (resp., no instances) are such pairs in which the first (resp., second) circuit generates a distribution with noticeably higher entropy. On one hand we show that any language having a (honest-verifier) statistical zero-knowledge proof is Karp-reducible to ED. On the other hand, we present a public-coin (honest-verifier) statistical zero-knowledge proof for...


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