Ternary codes from modified Jacket matrices

Ternary codes from modified Jacket matrices
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DOI:
10.1109/jcn.2011.6157246
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发表时间:
2011-02
影响因子:
3.6
通讯作者:
Xueqin Jiang;M. Lee;Ying Guo;Yier Yan;Md. Abdul Latif Sarker
Xueqin Jiang;M. Lee;Ying Guo;Yier Yan;Md. Abdul Latif Sarker
中科院分区:
计算机科学3区
文献类型:
--
作者:
Xueqin Jiang;M. Lee;Ying Guo;Yier Yan;Md. Abdul Latif Sarker

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本文从相应的修正三元Jacket矩阵族出发,构造了两个三元(2 m,3 m,2 m-1)和(2 m3 m +1,2 m-1)码族Cm* 和Cm *,其中m = 1,2,3,…这些代码是接近Plotkin界,并有一个非常容易的解码过程。
In this paper, we construct two families Cm* and C̃m* of ternary (2m, 3m, 2m-1) and (2m 3m+1, 2m-1) codes, for m = 1, 2, 3, ⋯, derived from the corresponding families of modified ternary Jacket matrices. These codes are close to the Plotkin bound and have a very easy decoding procedure.