New MDS Self-dual Codes over Finite Fields

11/07/2018

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by   Xiaolei Fang, et al.

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In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are many new parameters of MDS self-dual code which have never been reported. For large square q, we can produce more than approximately 50% times of new MDS self-dual codes with different lengths than the previous results.