2019/01/30 by Borello, Martino, de la Cruz, Javier, Willems, Wolfgang · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1901.10979
We classify, in terms of the structure of the finite group G, all group algebras KG for which all right ideals are right annihilators of principal left ideals. This means in the language of coding theory that we classify code-checkable group algebras KG which have been considered so far only for abelian groups G. Optimality of checkable codes and asymptotic results are discussed.