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Zero-knowledge proof of generalized compact Knapsacks (or a novel identification/signature scheme)

  • Bo Qin*
  • , Qianhong Wu
  • , Willy Susilo
  • , Yi Mu
  • , Yumin Wang
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

At FOCS 2002, a new generalized compact Knapsacks problem is introduced. It is shown that solving the generalized compact Knapsack problem on the average is at least as hard as the worst-case instance of various approximation problems over cyclic lattices. It is left as an open problem to construct a zero-knowledge proof of generalized compact Knapsack problem. In this paper, by investigating a new notion of one-way ensemble pair, we propose a generic construction of identification and achieve a signature with the Fiat-Shamir transformation. Following our generic construction, we implement a concrete scheme based on the random generalized compact Knapsack problem. Our scheme also implies the first efficient zero-knowledge proof of the generalized compact Knapsacks problem and results in a positive solution to the open problem at FOCS 2002.

Original languageEnglish
Title of host publicationAutonomic and Trusted Computing - Thrid International Conference, ATC 2006, Proceedings
PublisherSpringer Verlag
Pages531-540
Number of pages10
ISBN (Print)354038619X, 9783540386193
DOIs
StatePublished - 2006
Externally publishedYes
EventThrid International Conference on Autonomic and Trusted Computing, ATC 2006 - Wuhan, China
Duration: 3 Sep 20066 Sep 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4158 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceThrid International Conference on Autonomic and Trusted Computing, ATC 2006
Country/TerritoryChina
CityWuhan
Period3/09/066/09/06

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