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2020 | OriginalPaper | Chapter

A Compact Digital Signature Scheme Based on the Module-LWR Problem

Authors : Hiroki Okada, Atsushi Takayasu, Kazuhide Fukushima, Shinsaku Kiyomoto, Tsuyoshi Takagi

Published in: Information and Communications Security

Publisher: Springer International Publishing

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Abstract

We propose a new lattice-based digital signature scheme \(\textsf {MLWRSign} \) by modifying \(\textsf {Dilithium} \), which is one of the second-round candidates of NIST’s call for post-quantum cryptographic standards. To the best of our knowledge, our scheme MLWRSign is the first signature scheme whose security is based on the (module) learning with rounding (LWR) problem. Due to the simplicity of the LWR, the secret key size is reduced by approximately 30% in our scheme compared to Dilithium, while achieving the same level of security. Moreover, we implemented MLWRSign and observed that the running time of our scheme is comparable to that of Dilithium.

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Title: A Compact Digital Signature Scheme Based on the Module-LWR Problem
Authors: Hiroki Okada
Atsushi Takayasu
Kazuhide Fukushima
Shinsaku Kiyomoto
Tsuyoshi Takagi
Publisher: Springer International Publishing
Book: Information and Communications Security
Print ISBN: 978-3-030-61077-7

Electronic ISBN: 978-3-030-61078-4

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-61078-4_5

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