%0 Journal Article %T Construction of minimal non-abelian left group codes %A Gabriela Olteanu %A Inneke Van Gelder %J Mathematics %D 2013 %I arXiv %X Algorithms to construct minimal left group codes are provided. These are based on results describing a complete set of orthogonal primitive idempotents in each Wedderburn component of a semisimple finite group algebra FG for a large class of groups G. As an illustration of our methods, alternative constructions to some best linear codes over F_2 and F_3 are given. %U http://arxiv.org/abs/1302.3747v2