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Subsets of Groups in Public-key Cryptography

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Resumo:We suggest the use 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.
Autores principais:Carvalho, André
Outros Autores:Malheiro, António
Assunto:Subsets of groups Ascending HNN-extensions Context-free languages Key-exchange Algebra and Number Theory Computer Networks and Communications Discrete Mathematics and Combinatorics Applied Mathematics
Ano:2025
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso embargado
Instituição associada:Universidade Nova de Lisboa
Idioma:inglês
Origem:Repositório Institucional da UNL

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