Depth Spectrums of Linear Cyclie Codes over Ring ZM

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Depth Spectrums of Linear Cyclie Codes over Ring ZM

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[1]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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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 33 Number of periods: 2012 03 Page number: 110-112 Column: Public date: 2012-05-10

Title:: Depth Spectrums of Linear Cyclie Codes over Ring ZM

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

Keywords:: generate polynomial; cyclic code ; depth speetrum; depth distribution

CLC:: O157.4

DOI:: 10.3969/j.issn.1671-6833.2012.03.028

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.

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