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arXiv · 1801.00961

On maximum distance separable group codes with complementary duals

Saikat Roy·Satya Bagchi
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Abstract

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.

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Saikat Roy, Satya Bagchi. 2018-01-21. On maximum distance separable group codes with complementary duals. https://arxiv.org/abs/1801.00961

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