Semisimple group codes and dihedral codes

Autor(es)

Dutra, Flaviana S. ; Ferraz, Raul A. ; Polcino Milies, C.

• Tipo de documento: Artigo Científico
• Fonte: ALGEBRA & DISCRETE MATHEMATICS; v. N/A, n. 3, p. 21-pg., 2009-01-01.

Resumo

We consider codes that are given as two-sided ideals in a semisimple finite group algebra F (q) G defined by idempotents constructed from subgroups of G in a natural way and compute their dimensions and weights. We give a criterion to decide when these ideals are all the minimal two-sided ideals of F q G in the case when G is a dihedral group and extend these results also to a family of quaternion group codes. In the final section, we give a method of decoding; i.e., of finding and correcting eventual transmission errors. (AU)

• Processo FAPESP: 00/07291-0 - Anéis de grupo e tópicos relacionados
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 02/02933-0 - Alguns tópicos em anéis de grupo
• Beneficiário: Raul Antonio Ferraz
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado