On MDS Negacyclic LCD Codes

This paper is devoted to the study of linear codes with complementary-duals (LCD) arising from negacyclic codes over finite fields Fq, where q is an odd prime power. We obtain two classes of MDS negacyclic LCD codes of length n| q−1 2 , n| q+1 2 and a class of negacyclic LCD codes of length n = q+1. Also, we drive some parameters of Hermitian negacyclic LCD codes over Fq2 of length n = q − 1 and n = q − 1. For both Euclidean and Hermitian cases the dimension of these codes are determined and for some classes the minimum distance is settled. For the other cases, by studying q and q−cyclotomic classes we give lower bounds on the minimum distance.