Class of repeated-single-root cyclic codes for power-line communications

被引：2
|
作者：
da Rocha, V. C., Jr. [1 ]
机构：
[1] Univ Fed Pernambuco, Dept Elect & Syst, Commun Res Grp CODEC, BR-50740550 Recife, PE, Brazil
来源：
ELECTRONICS LETTERS | 2016年 / 52卷 / 18期
关键词：
carrier transmission on power lines; cyclic codes; repeated-single-root cyclic codes; power-line communications; p-ary cyclic codes; Hamming distance; distance separable repeated-single-root cyclic codes; generator polynomial; codewords; coded modulation;
D O I：
10.1049/el.2016.1877
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A class of p-ary (n, k, d) cyclic codes with block length n = p, dimension k = 2 and minimum Hamming distance d = n - k + 1 = p - 1 is introduced, where p denotes a prime. These codes are maximum distance separable repeated-single-root cyclic codes with generator polynomial g(x) = (x1)(p2). The codebook has size p(2) and contains a subset ? of p(p 1)codewords having p distinct symbols each. The size of ? is maximum for the given parameters and its codewords are useful for applications of coded modulation in power-line communications.
引用
收藏
页码：1530 / U61
页数：2
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