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A Lattice-Based Threshold Ring Signature Scheme

Cayrel, Pierre-Louis ; Lindner, Richard ; Rückert, Markus ; Silva, Rosemberg (2010)
A Lattice-Based Threshold Ring Signature Scheme.
Puebla, Mexico (08.08.2010-11.08.2010)
Conference or Workshop Item, Bibliographie

Abstract

In this article, we propose a new lattice-based threshold ring signature scheme, modifying Aguilar's code-based solution to use the short integer solution (SIS) problem as security assumption, instead of the syndrome decoding (SD) problem. By applying the CLRS identification scheme, we are also able to have a performance gain as result of the reduction in the soundness error to 1/2 per round. Such gain is also maintained through the application of the Fiat-Shamir heuristics to derive signatures from our identification scheme. From security perspective we also have improvements, because our scheme exhibits a worst-case to average-case reduction typical of lattice-based cryptosystems. This gives us confidence that a random choice of parameters results in a system that is hard to break, in average

Item Type: Conference or Workshop Item
Erschienen: 2010
Creators: Cayrel, Pierre-Louis ; Lindner, Richard ; Rückert, Markus ; Silva, Rosemberg
Type of entry: Bibliographie
Title: A Lattice-Based Threshold Ring Signature Scheme
Language: English
Date: August 2010
Place of Publication: Berlin
Publisher: Springer
Issue Number: 6212
Book Title: The first international conference on cryptology and information security, LatinCrypt 2010
Series: Lecture notes in computer science
Series Volume: 6212
Event Location: Puebla, Mexico
Event Dates: 08.08.2010-11.08.2010
Corresponding Links:
Abstract:

In this article, we propose a new lattice-based threshold ring signature scheme, modifying Aguilar's code-based solution to use the short integer solution (SIS) problem as security assumption, instead of the syndrome decoding (SD) problem. By applying the CLRS identification scheme, we are also able to have a performance gain as result of the reduction in the soundness error to 1/2 per round. Such gain is also maintained through the application of the Fiat-Shamir heuristics to derive signatures from our identification scheme. From security perspective we also have improvements, because our scheme exhibits a worst-case to average-case reduction typical of lattice-based cryptosystems. This gives us confidence that a random choice of parameters results in a system that is hard to break, in average

Uncontrolled Keywords: Secure Data
Identification Number: TUD-CS-2010-0141
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Theoretical Computer Science - Cryptography and Computer Algebra
LOEWE
LOEWE > LOEWE-Zentren
LOEWE > LOEWE-Zentren > CASED – Center for Advanced Security Research Darmstadt
Date Deposited: 30 Dec 2016 20:23
Last Modified: 24 Feb 2022 08:02
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