One-more assumptions do not help fiat-shamir-type signature schemes in NPROM

Masayuki Fukumitsu, Shingo Hasegawa

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

2 Citations (Scopus)

Abstract

On the Fiat-Shamir-type signature schemes, there are several impossibility results concerning their provable security. Most of these impossibility results employ the non-programmable random oracle model (NPROM), and to the best of our knowledge, all impossibilities deal with the security reductions from the non-interactive cryptographic assumptions except for the result on the security of Schnorr signature scheme from the One-More DL (OM-DL) assumption in ProvSec2017. In this paper, we extend the impossibility result above concerning Schnorr signature scheme and the OM-DL assumption to a wider class of the Fiat-Shamir-type signature schemes, and aim to find out the conditions so that such impossibility results hold. We show that a specific class of the Fiat-Shamir-type signature schemes, including Schnorr signature scheme, cannot be proven to be euf-cma secure in NPROM from the generalized One-More cryptographic assumptions. This is just a generalization of the impossibility concerning Schnorr signature scheme and the OM-DL assumption. Our result also suggests that for some Fiat-Shamir-type signature schemes, which is not covered by our impossibility (e.g. the RSA-based schemes), there may exist a successful security proof in NPROM from the interactive cryptographic assumption.

Original languageEnglish
Title of host publicationTopics in Cryptology – CT-RSA 2020 - The Cryptographers Track at the RSA Conference 2020, Proceedings
EditorsStanislaw Jarecki
PublisherSpringer
Pages586-609
Number of pages24
ISBN (Print)9783030401856
DOIs
Publication statusPublished - 2020
EventCryptographers Track at the RSA Conference, CT-RSA 2020 - San Francisco, United States
Duration: 2020 Feb 242020 Feb 28

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12006 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceCryptographers Track at the RSA Conference, CT-RSA 2020
Country/TerritoryUnited States
CitySan Francisco
Period20/2/2420/2/28

Keywords

  • Fiat-Shamir-type signature schemes
  • Impossibility result
  • Non-programmable random oracle model
  • One-more cryptographic assumptions
  • Provable security

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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