Departamento de Matemática
URI permanente desta comunidadehttps://repositorio.fei.edu.br/handle/FEI/789
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3 resultados
Resultados da Pesquisa
- Good codes from metacyclic groups(2019) Samir Assuena; MILIES, C. P.© 2019 American Mathematical Society.In this paper, we consider semisimple group algebras Fq G of split metacyclic groups over finite fields. We construct left codes in Fq G in the case when the order G is pm ℓn, where p and ℓ are different primes such that gcd(q, p, ℓ) = 1.
- Good codes from metacyclic groups II(2022-02-01) Samir Assuena© 2022 World Scientific Publishing Company.In this paper, we consider semisimple group algebras qG of split metacyclic groups over finite fields. We construct left codes in qG in the case when the order G is pmâ.,"n, where p and â.,"are different primes such that gcd(q,p,â.,") = 1 extend the construction described in a previous paper, determine their dual codes and find some good codes.
- Group algebras of metacyclic groups over finite fields(2017) Assuena S.; Milies C.P.© 2016, Instituto de Matemática e Estatística da Universidade de São Paulo.In this paper, we consider semisimple group algebras FqG of non abelian split metacyclic groups over a finite field. We give conditions for them to have a minimal number of simple components and find the primitive central idempotents of FqG in the case when the order G is equals pmℓn, where p and ℓ are different prime numbers.