Zero Knowledge Protocols and Signatures from the Restricted Syndrome Decoding Problem

Marco Baldi, Sebastian Bitzer, Alessio Pavoni, Paolo Santini, Antonia Wachter-Zeh, Violetta Weger

Publikation: Beitrag in Buch/Bericht/KonferenzbandKonferenzbeitragBegutachtung

1 Zitat (Scopus)

Abstract

The Restricted Syndrome Decoding Problem (R-SDP) cor- responds to the Syndrome Decoding Problem (SDP) with the additional constraint that all entries of the solution error vector must live in a fixed subset of the finite field. In this paper, we study how this problem can be applied to the construction of signatures derived from Zero-Knowledge (ZK) protocols. First, we show that R-SDP appears to be well-suited for this type of application: ZK protocols relying on SDP can easily be modified to use R-SDP, resulting in significant reductions in the communication cost. We then introduce and analyze a variant of R-SDP, which we call R-SDP(G), with the property that solution vectors can be represented with a number of bits that is slightly larger than the security parameter (which clearly provides an ultimate lower bound). This enables the design of competitive ZK protocols. We show that existing ZK protocols can greatly benefit from the use of R-SDP, achieving signature sizes in the order of 7 kB, which are smaller than those of several other schemes submitted to NIST’s additional call for post-quantum digital signatures.

OriginalspracheEnglisch
TitelPublic-Key Cryptography – PKC 2024 - 27th IACR International Conference on Practice and Theory of Public-Key Cryptography, 2024, Proceedings
Redakteure/-innenQiang Tang, Vanessa Teague
Herausgeber (Verlag)Springer Science and Business Media Deutschland GmbH
Seiten243-274
Seitenumfang32
ISBN (Print)9783031577215
DOIs
PublikationsstatusVeröffentlicht - 2024
Veranstaltung27th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2024 - Sydney, Australien
Dauer: 15 Apr. 202417 Apr. 2024

Publikationsreihe

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Band14602 LNCS
ISSN (Print)0302-9743
ISSN (elektronisch)1611-3349

Konferenz

Konferenz27th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2024
Land/GebietAustralien
OrtSydney
Zeitraum15/04/2417/04/24

Fingerprint

Untersuchen Sie die Forschungsthemen von „Zero Knowledge Protocols and Signatures from the Restricted Syndrome Decoding Problem“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren