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A Subexponential Quantum Algorithm for the Semidirect Discrete Logarithm Problem. (arXiv:2209.02814v3 [cs.CR] UPDATED)
Nov. 3, 2022, 1:20 a.m. | Christopher Battarbee, Delaram Kahrobaei, Ludovic Perret, Siamak F. Shahandashti
cs.CR updates on arXiv.org arxiv.org
Group-based cryptography is a relatively unexplored family in post-quantum
cryptography, and the so-called Semidirect Discrete Logarithm Problem (SDLP) is
one of its most central problems. However, the complexity of SDLP and its
relationship to more well-known hardness problems, particularly with respect to
its security against quantum adversaries, has not been well understood and was
a significant open problem for researchers in this area. In this paper we give
the first dedicated security analysis of SDLP. In particular, we provide a …
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