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Construction of MDS self-dual codes from generalized Reed-Solomon codes
Published 9 Jul 2022 in cs.IT and math.IT | (2207.04232v3)
Abstract: MDS codes and self-dual codes are important families of classical codes in coding theory. It is of interest to investigate MDS self-dual codes. The existence of MDS self-dual codes over finite field $F_q$ is completely solved for $q$ is even. In this paper, for finite field with odd characteristic, we construct some new classes of MDS self-dual codes by (extended) generalized Reed-Solomon codes.
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