On maximum distance separable group codes with complementary duals

01/03/2018

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by   Saikat Roy, et al.

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Given an LCD group code C in a group algebra KG, we inspect kinship between C and G, more precisely between the subgroup structures of G and C. Under some special circumstances our inspection provides an estimation for various parameters of a group code C. When C is MDS, the inter relation between K and G becomes more impressive. Application of Sylow theorem facilitated us to explore the inter relation between G and K (when C is LCD and MDS) in more general way and finally we get the result of Cruz and Willems (Lemma 4.4) as a simple sequel.