Minimal ideals in finite abelian group algebras and coding theory

Autor(es)

Chalom, Gladys ^[1] ; Ferraz, Raul Antonio ^[1] ; Guerreiro, Marines ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

^[2] Univ Fed Vicosa, Dept Matemat, Campus Univ, BR-36570000 Vicosa, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 10, n. 2, p. 321-340, DEC 2016.
• Citações Web of Science: 0

Resumo

We consider abelian groups of order p(n)q(m) where p and q are prime rational integers under some restrictive hypotheses and determine the set of primitive idempotents of the group algebra FG for a finite field F. The minimal ideals they generate can be considered as minimal codes and we determine either the respective minimum weights or bounds of these weights. We give examples showing that these bounds are actually attained in some cases. (AU)

• Processo FAPESP: 09/52665-0 - Grupos, anéis e álgebras: interações e aplicações
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático