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arXiv · 2311.15039

Subsets of groups in public-key cryptography

André Carvalho·António Malheiro
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Abstract

We suggest the usage of algebraic subsets instead of subgroups in public-key cryptography. In particular, we present the subset version of two protocols introduced by Shpilrain and Ushakov with some examples in ascending HNN-extensions of free-abelian groups and discuss their resistance to length and distance based attacks. We also introduce several new group theoretic problems arising from this work.

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André Carvalho, António Malheiro. 2023-11-25. Subsets of groups in public-key cryptography. https://arxiv.org/abs/2311.15039

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