Cryptology ePrint Archive: Report 2008/359

Argument of knowledge of a bounded error

Vadym Fedyukovych

Abstract: A protocol is introduced to show knowledge of a codeword of Goppa code and Goppa polynomial. Protocol does not disclosure any useful information about the codeword and polynomial coefficients. A related protocol is introduced to show Hamming weight of an error is below a threshold. Protocol does not disclosure codeword and weight of the error. Verifier only uses commitments to codeword components and coefficients while testing validity of statements. Both protocols are honest verifier zero knowledge.

Category / Keywords: cryptographic protocols / Goppa code, argument of knowledge, Schwartz-Zippel lemma, zero knowledge

Publication Info: unpublished

Date: received 18 Aug 2008

Contact author: vf at unity net

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Version: 20080818:184748 (All versions of this report)

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