On bit correlations among preimages of “many to one” one-way functions: — A new approach to study on randomness and hardness of one-way functions —

Kouichi Sakurai, Toshiya Itoh

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

Abstract

This paper presents a new measure of the complexity of many to one functions. We study bit correlations among the preimages of an element of the range of many to one one-way functions. Especially, we investigate the correlation among the least significant bit of the preimages of 2 to 1 one-way functions based on algebraic problems such as the factorization and the discrete logarithm.

Original languageEnglish
Title of host publicationAdvances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings
EditorsJennifer Seberry, Yuliang Zheng
PublisherSpringer Verlag
Pages435-446
Number of pages12
ISBN (Print)9783540572206
DOIs
Publication statusPublished - 1993
EventWorkshop on the Theory and Application of Cryptographic Techniques, AUSCRYPT 1992 - Gold Coast, Australia
Duration: Dec 13 1992Dec 16 1992

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume718 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

OtherWorkshop on the Theory and Application of Cryptographic Techniques, AUSCRYPT 1992
CountryAustralia
CityGold Coast
Period12/13/9212/16/92

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Sakurai, K., & Itoh, T. (1993). On bit correlations among preimages of “many to one” one-way functions: — A new approach to study on randomness and hardness of one-way functions —. In J. Seberry, & Y. Zheng (Eds.), Advances in Cryptology ― AUSCRYPT 1992 - Workshop on the Theory and Application of Cryptographic Techniques, Proceedings (pp. 435-446). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 718 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-57220-1_81