A tightly-secure lattice-based multisignature

Masayuki Fukumitsu; Shingo Hasegawa

doi:10.1145/3327958.3329542

A tightly-secure lattice-based multisignature

Masayuki Fukumitsu, Shingo Hasegawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Citations (Scopus)

Abstract

Multisignatures enable multiple users to sign a message in an interactive manner. Many instantiations are proposed for multisignatures, however, most of them are quantum-insecure, because these are based on the integer factoring assumption or the discrete logarithm assumption. Although there exist some constructions based on the lattice problems, which are believed to be quantum-secure, their security reductions are loose. In this paper, we construct a first lattice-based multisig-nature which has a tight security reduction. Our basic strategy is combining the multisignature scheme proposed by El Bansarkhani and Sturm with the lattice-based standard signature scheme by Abdalla, Fouque, Lyubashevsky and Tibouchi which has a tight security reduction from the Ring-LWE (Ring Learning with Error) assumption.

Original language	English
Title of host publication	APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019
Publisher	Association for Computing Machinery, Inc
Pages	3-11
Number of pages	9
ISBN (Electronic)	9781450367844
DOIs	https://doi.org/10.1145/3327958.3329542
Publication status	Published - 2019 Jul 2
Event	6th ACM Asia Public-Key Cryptography Workshop, APKC 2019, held in conjunction with the 14th ACM ASIA Conference on Computer and Communications Security, ASIACCS 2019 - Auckland, New Zealand Duration: 2019 Jul 8 → …

Publication series

Name	APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019

Conference

Conference	6th ACM Asia Public-Key Cryptography Workshop, APKC 2019, held in conjunction with the 14th ACM ASIA Conference on Computer and Communications Security, ASIACCS 2019
Country/Territory	New Zealand
City	Auckland
Period	19/7/8 → …

Keywords

Lattice cryptography
Multisignature
Ring-LWE
Tight security

ASJC Scopus subject areas

Computer Networks and Communications
Computer Science Applications
Information Systems
Software

Access to Document

10.1145/3327958.3329542

Cite this

Fukumitsu, M., & Hasegawa, S. (2019). A tightly-secure lattice-based multisignature. In APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019 (pp. 3-11). (APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019). Association for Computing Machinery, Inc. https://doi.org/10.1145/3327958.3329542

A tightly-secure lattice-based multisignature. / Fukumitsu, Masayuki; Hasegawa, Shingo.

APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019. Association for Computing Machinery, Inc, 2019. p. 3-11 (APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Fukumitsu, M & Hasegawa, S 2019, A tightly-secure lattice-based multisignature. in APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019. APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019, Association for Computing Machinery, Inc, pp. 3-11, 6th ACM Asia Public-Key Cryptography Workshop, APKC 2019, held in conjunction with the 14th ACM ASIA Conference on Computer and Communications Security, ASIACCS 2019, Auckland, New Zealand, 19/7/8. https://doi.org/10.1145/3327958.3329542

Fukumitsu M, Hasegawa S. A tightly-secure lattice-based multisignature. In APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019. Association for Computing Machinery, Inc. 2019. p. 3-11. (APKC 2019 - Proceedings of the 6th ACM ASIA Public-Key Cryptography Workshop, co-located with AsiaCCS 2019). doi: 10.1145/3327958.3329542

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abstract = "Multisignatures enable multiple users to sign a message in an interactive manner. Many instantiations are proposed for multisignatures, however, most of them are quantum-insecure, because these are based on the integer factoring assumption or the discrete logarithm assumption. Although there exist some constructions based on the lattice problems, which are believed to be quantum-secure, their security reductions are loose. In this paper, we construct a first lattice-based multisig-nature which has a tight security reduction. Our basic strategy is combining the multisignature scheme proposed by El Bansarkhani and Sturm with the lattice-based standard signature scheme by Abdalla, Fouque, Lyubashevsky and Tibouchi which has a tight security reduction from the Ring-LWE (Ring Learning with Error) assumption.",

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AU - Hasegawa, Shingo

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N2 - Multisignatures enable multiple users to sign a message in an interactive manner. Many instantiations are proposed for multisignatures, however, most of them are quantum-insecure, because these are based on the integer factoring assumption or the discrete logarithm assumption. Although there exist some constructions based on the lattice problems, which are believed to be quantum-secure, their security reductions are loose. In this paper, we construct a first lattice-based multisig-nature which has a tight security reduction. Our basic strategy is combining the multisignature scheme proposed by El Bansarkhani and Sturm with the lattice-based standard signature scheme by Abdalla, Fouque, Lyubashevsky and Tibouchi which has a tight security reduction from the Ring-LWE (Ring Learning with Error) assumption.

AB - Multisignatures enable multiple users to sign a message in an interactive manner. Many instantiations are proposed for multisignatures, however, most of them are quantum-insecure, because these are based on the integer factoring assumption or the discrete logarithm assumption. Although there exist some constructions based on the lattice problems, which are believed to be quantum-secure, their security reductions are loose. In this paper, we construct a first lattice-based multisig-nature which has a tight security reduction. Our basic strategy is combining the multisignature scheme proposed by El Bansarkhani and Sturm with the lattice-based standard signature scheme by Abdalla, Fouque, Lyubashevsky and Tibouchi which has a tight security reduction from the Ring-LWE (Ring Learning with Error) assumption.

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A tightly-secure lattice-based multisignature

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Keywords

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