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Subsets of groups in public-key cryptography
November 25, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
AndrΓ© Carvalho, AntΓ³nio Malheiro
arXiv ID
2311.15039
Category
math.GR
Cross-listed
cs.CR
Citations
2
Venue
arXiv.org
Last Checked
3 months ago
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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