Galois inner product is an extension of Euclidean inner product and Her-mitian inner product. Constacyclic codes are a class of linear codes, which have a rich algebraic structure and wide appplication. MDS codes have been described by renowned scholars MacWilliams and Sloane as the most enchanting error-correcting codes. LCD codes are widely used in datastorage, communication systems, electronics and cryptopraphy. In this paper, we study the LCD constacyclic codes and LCD MDS codes based on the Galois inner product. We mainly discuss the usual form of Galois dual constacyclic codes and the ne...
