Cryptology ePrint Archive: Report 1999/015

Interleaved Zero-Knowledge in the Public-Key Model

Oded Goldreich, Shafi Goldwasser and Silvio Micali

Abstract: We introduce the notion of Interleaved Zero-Knowledge (iZK), a new security measure for cryptographic protocols which strengthens the classical notion of zero-knowledge, in a way suitable for multiple concurrent executions in an asynchronous environment like the internet. We prove that iZK protocols are robust: they are ``parallelizable'', and preserve security when run concurrently in a fully asynchronous network. Furthermore, this holds even if the prover's random-pads in all these concurrent invocations are identical. Thus, iZK protocols are ideal for smart-cards and other devices which cannot reliably

Category / Keywords: Zero-Knowledge, Concurrent Zero-Knowledge, Witness-Indistinguishable Proofs, Parralel Composition, Smart Cards, Identification Schemes, Commitment Schemes, The Discrete Logarithm Problem.

Publication Info: Appeared in the THEORY OF CRYPTOGRAPHY LIBRARY and has been included in the ePrint Archive.

Date: received June 26th, 1999. Revised July 9th, 1999. Also posted on ECCC as TR99-024. Superceded by Theory of Cryptography Library Record 99-22.

Contact author: oded at wisdom weizmann ac il

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