[1]常晓鹏,郑喜英,孔波..环ZM上线性循环码的深度谱[J].郑州大学学报(工学版),2012,33(03):110-112.[doi:10.3969/j.issn.1671-6833.2012.03.028]
　CHANG Xiaopeng,ZHENG Xiying,KONG Bo.Depth Spectrums of Linear Cyclie Codes over Ring ZM[J].Journal of Zhengzhou University (Engineering Science),2012,33(03):110-112.[doi:10.3969/j.issn.1671-6833.2012.03.028]
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环ZM上线性循环码的深度谱()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
33
期数:
2012年03期
页码:
110-112
栏目:
出版日期:
2012-05-10

文章信息/Info

Title:
Depth Spectrums of Linear Cyclie Codes over Ring ZM
作者:
常晓鹏; 郑喜英; 孔波.
河南教育学院 信息技术系,河南郑州,450046, 黄河科技学院 信息工程学院,河南郑州,450005, 河南教育学院 数学系,河南郑州,450046
Author(s):
CHANG Xiaopeng; ZHENG Xiying; KONG Bo
1. Department of informstion Technology, Henan institute of Educatiom, Zhengzhou 450046, China; 2. lnatitute of informatiorEngineering, Huanghe Scienee and Technology Collcge, Zhengzhou 4$000$ , China; 3. Deparment of Mathematics, Henan Institute of Educetion,Zhengzhou 450046,China
关键词:
生成多项式;  循环码;  深度谱;  深度分布
Keywords:
generate polynomial;  cyclic code ;  depth speetrum;  depth distribution
分类号:
O157.4
DOI:
10.3969/j.issn.1671-6833.2012.03.028
摘要:
在整数剩余类环Zpαi(i=1,2,…,l)上长为n的线性循环码的深度谱基础上,根据中国剩余定理,研究了整数剩余类环ZM(M=p1α1p2α2…plαl,p1,p2,…,pl为M的互不相同的素因子)上长为n(pi不整除n,i=1,2,…,l)的循环码的生成多项式,并以多重集的形式给出了ZM上长为n的线性循环码的深度谱.
Abstract:
Based on the depth spectrum of linear cyelie code of length n over the integer residue class ring 2p.( i= 1 ,2 ,….. ,/) , according to the Chinese remainder theorem , the generator polynomial of cyclic code of lengthn (p, is nol exactly divisible by n,i=1,2,…,!)over the integer residue class ring Z„( M = p"’p?’….p"’ andP, ,P,,…,P, are different prime factors of M) is studied, And the depth spectrum of linear cyclic code oflength n over Z, is given in the for of multiset.

相似文献/References:

[1]王锦玲.矩阵上的线性递归序列[J].郑州大学学报(工学版),1994,15(03):92.
　Wang Jinling.Linear recursive sequence on the matrix[J].Journal of Zhengzhou University (Engineering Science),1994,15(03):92.

更新日期/Last Update: 1900-01-01