[Resource Topic] 2023/1963: A Small Serving of Mash: (Quantum) Algorithms for SPDH-Sign with Small Parameters

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Title:
A Small Serving of Mash: (Quantum) Algorithms for SPDH-Sign with Small Parameters

Authors: Andrew Mendelsohn, Edmund Dable-Heath, Cong Ling

Abstract:

We find an efficient method to solve the semidirect discrete logarithm problem (SDLP) over finite nonabelian groups of order p^3 and exponent p^2 for certain exponentially large parameters. This implies an attack on SPDH-Sign, a signature scheme based on the SDLP, for such parameters. We also take a step toward proving the quantum polynomial time equivalence of SDLP and SCDH.

ePrint: https://eprint.iacr.org/2023/1963

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