On the full monomial automorphism groups of Reed–Solomon codes and their MDS-extensions

Abstract

© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon codes and of theirMDS-extensions by adding one, two, and three symbols.We show that several Reed–Solomon codes, extended by two symbols, are equivalent to constacyclic codes and, under certain conditions, to cyclic codes.