New MDS Self-dual Codes over Finite Fields of Odd Characteristic

November 07, 2018 · Declared Dead · 🏛 Designs, Codes and Cryptography

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Authors Xiaolei Fang, Khawla Lebed, Hongwei Liu, Jinquan Luo arXiv ID 1811.02802 Category cs.IT: Information Theory Citations 39 Venue Designs, Codes and Cryptography Last Checked 3 months ago
Abstract
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 MDS self-dual codes with new parameters which have never been reported. For odd prime power $q$ with $q$ square, the total number of lengths for MDS self-dual codes over $\mathbb{F}_q$ presented in this paper is much more than those in all the previous results.
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