Title :
Minimal codes in binary abelian group algebras
Author :
Guerreiro, Marinês ; Ferraz, Raul Antonio ; Milies, César Polcino
Author_Institution :
Dept. de Mat., Univ. Fed. de Vicosa, Viçosa, Brazil
Abstract :
We give counterexamples to show that some results regarding equivalence of abelian group codes, that have been in the literature for quite some time, are not correct. Also, we give examples of special families of abelian groups for which these results do hold.
Keywords :
algebra; binary codes; cyclic codes; group codes; abelian group code; binary abelian group algebra; cyclic code; Conferences; Electronic mail; Galois fields; Information theory; Lattices; Polynomials;
Conference_Titel :
Information Theory Workshop (ITW), 2011 IEEE
Conference_Location :
Paraty
Print_ISBN :
978-1-4577-0438-3
DOI :
10.1109/ITW.2011.6089383
