Negacyclic codes over Galois rings of characteristic 2a
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摘要:
We investigate negacyclic codes over the Galois ring GR(2a,m) of length N =2kn,where n is odd and k ≥ 0. We first determine the structure of u-constacyclic codes of length n over the finite chain ring GR(2a,m)[u]/〈u2κ + 1〉.Then using a ring isomorphism we obtain the structure of negacyclic codes over GR(2a,m) of length N =2kn (n odd) and explore the existence of self-dual negacyclic codes over GR(2a,m).A bound for the homogeneous distance of such negacyclic codes is also given.