New LCD MDS Codes of Non-Reed-Solomon Type

Both linear complementary dual (LCD) codes and maximum distance separable (MDS) have good algebraic structures, they interesting practical applications such as communication systems, data storage, quantum codes, so on. So far, most of LCD MDS been constructed by employing generalized Reed-Solomon codes. In this paper we construct some classes new Euclidean Hermitian which are not monomially equivalent to called non-Reed-Solomon type. Our method is based on the constructions Beelen et al. (2017) Roth Lempel (1989). To best our knowledge, first construction type; any code type Carlet (2018).