2 papers
cs.IT2016
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…
cs.IT2009
Group code structures on affine-invariant codes
Jose Joaquin Bernal, Angel del Rio, Juan Jacobo Simon
A group code structure of a linear code is a description of the code as one-sided or two-sided ideal of a group algebra of a finite group. In these realizations, the group algebra…