Paper 2023/595
SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures
Abstract
In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-based digital signatures and adopts the framework of group action-based cryptography: we show that each finite group defines a group action relative to the semidirect product of the group by its automorphism group, and give security bounds on the resulting signature scheme in terms of the group-theoretic computational problem known as the Semidirect Discrete Logarithm Problem (SDLP). Crucially, we make progress towards being able to efficiently compute the novel group action, and give an example of a parameterised family of groups for which the group action can be computed for any parameters, thereby negating the need for expensive offline computation or inclusion of redundancy required in other schemes of this type.
Metadata
- Available format(s)
-
PDF
- Category
- Cryptographic protocols
- Publication info
- Published elsewhere. arXiv, PQCrypto 2023
- Keywords
- digital signature schemegroup-based cryptographypost-quantum cryptography
- Contact author(s)
-
kit battarbee @ york ac uk
DKahrobaei @ gc cuny edu
ludovic perret @ lip6 fr
siamak shahandashti @ york ac uk - History
- 2023-06-27: revised
- 2023-04-25: received
- See all versions
- Short URL
- https://ia.cr/2023/595
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2023/595,
author = {Christopher Battarbee and Delaram Kahrobaei and Ludovic Perret and Siamak F. Shahandashti},
title = {{SPDH}-Sign: towards Efficient, Post-quantum Group-based Signatures},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/595},
year = {2023},
url = {https://eprint.iacr.org/2023/595}
}
