Abstract
Cyclic codes of length 2 e over Z 4 are precisely the ideals of the local ring Z 4 [ x ] / 〈 x 2 e − 1 〉 . In this paper, we investigate the distances of cyclic codes of length 2 e over Z 4 . The Hamming distances of all cyclic codes of length 2 e over Z 4 are determined. The exact Lee distances of some cyclic codes of length 2 e over Z 4 are also obtained.
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