Constructions of MDS Euclidean Self-dual Codes from small length

10/05/2019

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by   Derong Xie, et al.

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