Abstract
The Hamming distances of all negacyclic codes of length 2s over the Galois ring GR(2a,m) are given. In particular, the Lee distances of all negacyclic codes over Z 4 of length 2s are obtained. The Gray images of such negacyclic codes over Z 4 are also determined under the Gray map.
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The research is supported by the National Natural Science Foundation of China under Grant No. 60673074.
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Zhu, S., Kai, X. The Hamming Distances of Negacyclic Codes of Length 2s over GR(2a,m). J. Syst. Sci. Complex. 21, 60–66 (2008). https://doi.org/10.1007/s11424-008-9066-1
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DOI: https://doi.org/10.1007/s11424-008-9066-1