검색 상세

A mass formula for cyclic codes over Galois rings of characteristic p(3)

초록/요약

We completely determine the explicit generators of cyclic codes of length p(k) (k >= 1) over a Galois ring of characteristic p(3) by their residue degree, and their two torsional degrees; there are exactly three types of cyclic codes, that is, one-generator, two-generator and three-generator cyclic codes. Using this classification result, we explicitly obtain a mass formula for cyclic codes of length p(k) over a Galois ring of characteristic p(3). (C) 2018 Elsevier Inc. All rights reserved.

more