Semisimple group codes and dihedral codes

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Dutra, F.S., Ferraz, R.A., Milies, C.P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154622
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Semisimple group codes and dihedral codes/ F.S. Dutra, R.A. Ferraz, C.P. Milies // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 28–48. — Бібліогр.: 12 назв. — англ.

We consider codes that are given as two-sided ideals in a semisimple finite group algebra FqG defined by idempotents constructed from subgroups of G in a natural way and compute their dimensions and weights. We give a criterion to decide when these ideals are all the minimal two-sided ideals o f FqG...