How Guan Aun and Denis Wong Chee Keong
Abstract. The study of group code as an ideal in a group algebra has been developed long time ago. If char(F) does not divide |G|,
then FG is semisimple, and therefore, decomposes into a direct sum FG=Åi
FGei
where FGei are minimal ideals generated by the idempotent ei. The idempotent ei provides useful information about the minimum distance of group codes. In this paper, we consider group code generated by extra-special p-group of order p3 and construct two families of group codes, one defined using linear idempotents, and the other defined using nonlinear idempotents. Our primary task is to determine the parameters of these two families of group codes.
2000 Mathematics Subject Classification: 94B60
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