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Construction of MDS Self-dual Codes over Finite Fields (1807.10625v1)
Published 27 Jul 2018 in cs.IT and math.IT
Abstract: In this paper, we obtain some new results on the existence of MDS self-dual codes utilizing (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. For some fixed $q$, our results can produce more classes of MDS self-dual codes than previous works.