5 citations · 7 across the 6 of their papers we have counts for
7 papers
Abelian Noncyclic Orbit Codes and Multishot Subspace Codes
Gustavo Terra Bastos, Reginaldo Palazzo Júnior, Marinês Guerreiro
In this paper we characterize the orbit codes as geometrically uniform codes. This characterization is based on the description of all isometries over a projective geometry. In add…
From ds-bounds for cyclic codes to true distance for abelian codes
J. J. Bernal, M. Guerreiro, J. J. Simón
In this paper we develop a technique to extend any bound for the minimum distance of cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes…
Ds-bounds for cyclic codes: new bounds for abelian codes
J. J. Bernal, M. Guerreiro, J. J. Simón
In this paper we develop a technique to extend any bound for cyclic codes constructed from its defining sets (ds-bounds) to abelian (or multivariate) codes. We use this technique t…
Group Algebra and Coding Theory
Marinês Guerreiro
Group algebras have been used in the context of Coding Theory since the beginning of the latter, but not in its full power. The work of Ferraz and Polcino Milies entitled Idempoten…
Exceptional representations of simple algebraic groups in prime characteristic
Marinês Guerreiro
Let G be a simply connected simple algebraic group over an algebraically closed field K of characteristic p>0 with root system R, and let be its restric…
Minimal Binary Abelian Codes of length
Gladys Chalom, Raul Antônio Ferraz, Marinês Guerreiro +1
We consider binary abelian codes of length , where and are prime rational integers under some restrictive hypotheses. In this case, we determine the idempotents ge…
G-equivalence in group algebras and minimal abelian codes
Raul Antonio Ferraz, Marinês Guerreiro, César Polcino Milies
Let G be a finite abelian group and F a field such that char(F) does not divide |G|. Denote by FG the group algebra of G over F. A (semisimple) abelian code is an ideal of FG. Two…