On the distances of cyclic codes of length 2e over Z4

Cyclic codes of length 2^e over Z"4 are precisely the ideals of the local ring Z"4[x]/. 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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