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Conference Papers Year : 2023

SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures


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.

Dates and versions

hal-04156467 , version 1 (08-07-2023)



Christopher Battarbee, Ludovic Perret, Siamak F. Shahandashti, Delaram Kahrobaei. SPDH-Sign: towards Efficient, Post-quantum Group-based Signatures. PQCrypto 2023 - The 14th International Conference on Post-Quantum Cryptography, Aug 2023, College Park, MD, United States. ⟨hal-04156467⟩
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