New LCD MDS codes constructed from generalized Reed–Solomon codes
Xueying Shi, Qin Yue, Shudi Yang · Journal of Algebra and Its Applications · 2018
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.