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 Z4 of length 2s are obtained. The Gray images of such negacyclic codes over Z4 are also determined under the Gray map.
机构:
Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
Southeast Univ, Natl Mobile Communicat Res Lab, Nanjing 210096, Jiangsu, Peoples R ChinaHefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
Zhu ShiXin
Kai XiaoShan
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机构:
Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China
Southeast Univ, Natl Mobile Communicat Res Lab, Nanjing 210096, Jiangsu, Peoples R ChinaHefei Univ Technol, Sch Math, Hefei 230009, Peoples R China