On self-dual cyclic codes of length pa over GR(p2,s)

In this paper, cyclic codes over the Galois ring GR(p2,s) are studied. The main result is the characterization and enumeration of Hermitian self-dual cyclic codes of length pa over GR(p2,s). Combining with some known results and the standard Discrete Fourier Transform decomposition, we arrive at the characterization and enumeration of Euclidean self-dual cyclic codes of any length over GR(p2,s).Accepted versio