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arXiv 2013-02-15 0 views

Construction of minimal non-abelian left group codes

Olteanu, Gabriela · Van Gelder, Inneke

Original · EN

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 F₂ and F₃ are given.

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