Abstract
The structure of λ-constacyclic codes of length 2s over the Galois ring GR(2a,m) is obtained, for any unit λ of the form 4z−1, z∈GR(2a,m). The duals codes and necessary and sufficient conditions for the existence of a self-dual λ-constacyclic code are provided. Among others, this structure is used to establish the Hamming, homogeneous, and Rosenbloom–Tsfasman distances, and Rosenbloom–Tsfasman weight distribution of all such constacyclic codes.
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