Add to ORKGWe study codes constructed from ideals in group algebras and we are particularly interested in their dimensions and weights. First we introduced a special kind of idempotents and study the ideals they generate. We use this information to show that there exist abelian non-cyclic groups that give codes which are more convenient than the cyclic ones. Finally, we discuss briefly some facts about non-abelian codes
Neste trabalho calculamos o peso e a dimensão de todos os códigos cíclicos de comprimento pn na álge...
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-...
In the first part of this paper linear, quadratic,…arbitrary n-block codes are studied by means of a...
We study codes constructed from ideals in group algebras and we are particularly interested in their...
This work is focused on linear error-correcting codes in group rings. The basic introduc- tion to gr...
Neste trabalho damos uma descrição completa dos ideais à esquerda em anéis de matrizes sobre corpos ...
AbstractIn this paper we show that two minimal codes M1 and M2 in the group algebra F2[G] have the s...
Esse trabalho utiliza álgebras de grupo para o estudo de Códigos Corretores de Erros. Como, no entan...
Abstract. A (left) group code of length n is a linear code which is the image of a (left) ideal of a...
We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic charact...
We define essential idempotents in group algebras and use them to prove that every mininmal abelian ...
In 1979, Miller proved that for a group $G$ of odd order, two minimal group codes in $\mathbb{F}_2G$...
The study of group codes as an ideal in a group algebra has been developed long time ago. If char(F)...
A new class of error-correcting codes, which generalizes the BCH codes and the polynomial codes of G...
AbstractRecently some methods have been proposed to find the distance and weight distribution of cyc...
Neste trabalho calculamos o peso e a dimensão de todos os códigos cíclicos de comprimento pn na álge...
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-...
In the first part of this paper linear, quadratic,…arbitrary n-block codes are studied by means of a...
We study codes constructed from ideals in group algebras and we are particularly interested in their...
This work is focused on linear error-correcting codes in group rings. The basic introduc- tion to gr...
Neste trabalho damos uma descrição completa dos ideais à esquerda em anéis de matrizes sobre corpos ...
AbstractIn this paper we show that two minimal codes M1 and M2 in the group algebra F2[G] have the s...
Esse trabalho utiliza álgebras de grupo para o estudo de Códigos Corretores de Erros. Como, no entan...
Abstract. A (left) group code of length n is a linear code which is the image of a (left) ideal of a...
We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic charact...
We define essential idempotents in group algebras and use them to prove that every mininmal abelian ...
In 1979, Miller proved that for a group $G$ of odd order, two minimal group codes in $\mathbb{F}_2G$...
The study of group codes as an ideal in a group algebra has been developed long time ago. If char(F)...
A new class of error-correcting codes, which generalizes the BCH codes and the polynomial codes of G...
AbstractRecently some methods have been proposed to find the distance and weight distribution of cyc...
Neste trabalho calculamos o peso e a dimensão de todos os códigos cíclicos de comprimento pn na álge...
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-...
In the first part of this paper linear, quadratic,…arbitrary n-block codes are studied by means of a...