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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Minimal ideals in finite abelian group algebras and coding theory

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Author(s):
Chalom, Gladys [1] ; Ferraz, Raul Antonio [1] ; Guerreiro, Marines [2]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 10, n. 2, p. 321-340, DEC 2016.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 09/52665-0 - Groups, rings and algebras: interactions and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants