4 move perfect ZKIP of knowledge with no assumption

Takeshi Saito, Kaoru Kurosawa, Kouichi Sakurai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper presents a 4-move perfect ZKIP of knowledge with no cryptographic assumption for the random self reducible problems [TW87] whose domain is NP∩BPP. The certified discrete log problem is such an example. (Finding a witness is more difficult than the language membership problem.) A largely simplified 4-move ZKIP for the Hamilton Circuit problem is also shown. In our ZKIP, a trapdoor coin flipping protocol is introduced to generate a challenge bit. P and V cooperatively generate a random bit in a coin flipping protocol. In a trapdoor coin flipping protocol, V who knows the trapdoor can create the view which he can later reveal in two possible ways: both as head and as tail.

Original languageEnglish
Title of host publicationAdvances in Cryptology ─ ASIACRYPT 1991 - International Conference on the Theory and Application of Cryptology, Proceedings
EditorsHideki Imai, Tsutomu Matsumoto, Ronald L. Rivest
PublisherSpringer Verlag
Pages321-330
Number of pages10
ISBN (Print)9783540573326
DOIs
Publication statusPublished - 1993
Externally publishedYes
Event1st International Conference on the Theory and Application of Cryptology, ASIACRYPT 1991 - Fujiyoshida, Japan
Duration: Nov 11 1991Nov 14 1991

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume739 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other1st International Conference on the Theory and Application of Cryptology, ASIACRYPT 1991
CountryJapan
CityFujiyoshida
Period11/11/9111/14/91

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Saito, T., Kurosawa, K., & Sakurai, K. (1993). 4 move perfect ZKIP of knowledge with no assumption. In H. Imai, T. Matsumoto, & R. L. Rivest (Eds.), Advances in Cryptology ─ ASIACRYPT 1991 - International Conference on the Theory and Application of Cryptology, Proceedings (pp. 321-330). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 739 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-57332-1_27