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The Hamming distances of all negacyclic codes of length 2~s over the Galois ring GR (2~a,m) are given.In particular,the Lee distances of all negacyclic codes over Z_4 of length 2~s are obtained. The Gray images of such negacyclic codes over Z_4 are also determined under the Gray map.
The Hamming distances of all negacyclic codes of length 2 ~ s over the Galois ring GR (2 ~ a, m) are given.In particular, the Lee distances of all negolisclic codes over Z_4 of length 2 ~ s are obtained. The Gray images of such negacyclic codes over Z_4 are also determined under the Gray map.