Cryptology ePrint Archive: Report 2008/181
Proofs of Knowledge with Several Challenge Values
Abstract: In this paper we consider the problem of increasing
the number of possible challenge values from 2 to $s$
in various zero-knowledge cut and choose protocols.
First we discuss doing this for graph isomorphism protocol.
Then we show how increasing this number improves efficiency
of protocols for double discrete logarithm
and $e$-th root of discrete logarithm which are potentially very useful
tools for constructing complex cryptographic protocols.
The practical improvement given by our paper is 2-4 times in terms
of both time complexity and transcript size.
Category / Keywords: cryptographic protocols /
Date: received 18 Apr 2008, last revised 1 Jun 2008
Contact author: gst at cs uni wroc pl
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Version: 20080601:120723 (All versions of this report)
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