On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
On the linear ordering of some classes of negacyclic and cyclic codes and their distance distributions
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DOI：
10.1016/j.ffa.2007.07.001
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
H. Dinh
中科院分区：
文献类型：
--
作者：
H. Dinh
我们研究了有限域上长度的负循环码和循环码[公式：见文本]。长度的负环码精确地表示链环的理想状态[公式：见文]。然后利用该结构得到了这类负循环码的汉明距离分布，并给出了汉明权重分布和若干码的枚举。建立了负环码与循环码的一一对应关系，将负环码的结果传递到循环码中。
We investigate negacyclic and cyclic codes of length psover the finite field [Formula: see text] . Negacyclic codes of length psare precisely the ideals of the chain ring [Formula: see text] . This structure is then used to obtain the Hamming distance distribution of the class of such negacyclic codes, which also provides Hamming weight distributions and enumerations of several codes. An one-to-one correspondence between negacyclic and cyclic codes is established to carry accordingly those results of negacyclic codes to cyclic codes.