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Affiliation of Author(s):理学院

Journal:JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Key Words:LCD MDS codes generalized Reed-Solomon codes

Abstract:Maximum distance separable codes with complementary duals (LCD MDS codes) are very important in coding theory and practice, and have attracted a lot of attention. In this paper, we focus on LCD MDS codes constructed from generalized Reed-Solomon (GRS) codes over a finite field with odd characteristic. We detail two constructions of new LCD MDS codes, using invertible matrices and the roots of three classes of polynomials, respectively.

ISSN No.:0219-4988

Translation or Not:no

Date of Publication:2019-08-01

Co-author:Shi, Xueying,Yang, Shudi

Correspondence Author:yq