Repeated-Root Cyclic and Negacyclic Codes of Length 6π^{π }
Hai Quang Dinh Β· Contemporary mathematics - American Mathematical Society Β· 2014
Let p β₯ 5 p \geq 5 be any prime, the structures of cyclic and negacyclic codes of length 6 p s 6p^s over the Galois field F p m \mathbb F_{p^m} are obtained, in term of specified polynomial generators of such codes. As an application, all self-dual and linear complementary-dual (LCD) cyclic and negacylic codes of length 6 p s 6p^s are provided. A classification of all constacyclic codes of length 6 p s 6p^s over F p m \mathbb F_{p^m} via ring isomorphisms is given.