SDitH in the QROM

Carlos Aguilar-Melchor, Andreas Hülsing*, David Joseph, Christian Majenz, Eyal Ronen, Dongze Yue

*Corresponding author for this work

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

Abstract

The MPC in the Head (MPCitH) paradigm has recently led to significant improvements for signatures in the code-based setting. In this paper we consider some modifications to a recent twist of MPCitH, called Hypercube-MPCitH, that in the code-based setting provides the currently best known signature sizes. By compressing the Hypercube-MPCitH five-round code-based identification scheme into three-rounds we obtain two main benefits. On the one hand, it allows us to further develop recent techniques to provide a tight security proof in the quantum-accessible random oracle model (QROM), avoiding the catastrophic reduction losses incurred using generic QROM-results for Fiat-Shamir. On the other hand, we can reduce the already low-cost online part of the signature even further. In addition, we propose the use of proof-of-work techniques that allow to reduce the signature size. On the technical side, we develop generalizations of several QROM proof techniques and introduce a variant of the recently proposed extractable QROM.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
EditorsJian Guo, Ron Steinfeld
PublisherSpringer Science and Business Media Deutschland GmbH
Pages317-350
Number of pages34
ISBN (Print)9789819987382
DOIs
StatePublished - 2023
Event29th Annual International Conference on the Theory and Application of Cryptology and Information Security, Asiacrypt 2023 - Guangzhou, China
Duration: 4 Dec 20238 Dec 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14444 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference29th Annual International Conference on the Theory and Application of Cryptology and Information Security, Asiacrypt 2023
Country/TerritoryChina
CityGuangzhou
Period4/12/238/12/23

Keywords

  • Fiat-Shamir
  • MPCitH
  • Post-quantum cryptography
  • QROM
  • QROM+
  • SDitH
  • code-based signatures
  • provable security

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