Constructions of MDS Self-dual Codes from Short length

Derong Xie; Xiaolei Fang; Jinquan Luo

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arXiv · 1910.02255

Constructions of MDS Self-dual Codes from Short length

Derong Xie·Xiaolei Fang·Jinquan Luo

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Abstract

Systematic constructions of MDS self-dual codes is widely concerned. In this paper, we consider the constructions of MDS Euclidean self-dual codes from short length. Indeed, the exact constructions of MDS Euclidean self-dual codes from short length ($n=3,4,5,6$) are given. In general, we construct more new of $q$-ary MDS Euclidean self-dual codes from MDS self-dual codes of known length via generalized Reed-Solomon (GRS for short) codes and extended GRS codes.

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Derong Xie, Xiaolei Fang, Jinquan Luo. 2019-10-05. Constructions of MDS Self-dual Codes from Short length. https://arxiv.org/abs/1910.02255

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