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《高校应用数学学报B辑(英文版)》 2008-03
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Quaternary quasi-cyclic codes

PEI Jun-ying ZHANG Xue-jun Dept.of Math.,Soochow Univ.,Suzhou 215006,China.  
Quasi-cyclic codes of length mn over Z4 are shown to be equivalent to A-submodules of An,where A = Z4 x /(xm -1).In the case of m being odd,all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules.Finally the distinct quasi-cyclic codes as well as some specific subclasses are enumerated.
【Fund】: the National Natural Science Foundation of China (60603016)
【CateGory Index】: O157.4
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【References】
Chinese Journal Full-text Database 1 Hits
1 CHU Qiang,ZHU Shixin(School of Mathematics,Hefei University of Technology,Hefei 230009,China);Quasi-cyclic codes over Z_p~s[J];Journal of University of Science and Technology of China;2013-08
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 XU Bin,SUN Xue-fei(School of Science,Shandong University of Technology,Zibo 255049,China);The counting of quasi-cyclic codes[J];Journal of Shandong University of Technology(Natural Science Edition);2010-06
2 SUN Xue-fei,XU Bin(School of Science,Shandong University of Technology,Zibo 255091,China);The construction of linear codes from quasi-cyclic codes[J];Journal of Shandong University of Technology(Natural Science Edition);2011-02
3 GAO Jian(School of Science,Shandong University of Technology,Zibo 255091,China);The construction of 2-generator quasi-cyclic codes[J];Journal of Shandong University of Technology(Natural Science Edition);2011-03
4 ZHANG Xue-jun~(1,2),WANG Hai-hua~1(1.School of Mathmatic Science,Suzhou University,Suzhou 215006,China;2.Department of Mathematics,Jiangsu Institute of Education,Nanjing 210013,China);The dual codes of quasi-cyclic codes[J];Journal of Suzhou University(Natural Science Edition);2006-04
5 CHU Qiang,ZHU Shixin(School of Mathematics,Hefei University of Technology,Hefei 230009,China);Quasi-cyclic codes over Z_p~s[J];Journal of University of Science and Technology of China;2013-08
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 Xia Shutao; Fu Fangwei and Shen Shiyi(Department of Mathematics,Nankai University,Tianjin 300071);Quasi-Cyclic Codes and Seven New Linear Codes[J];Acta Electronica Sinica;1997-10
2 XU Bin,SUN Xue-fei(School of Science,Shandong University of Technology,Zibo 255049,China);The counting of quasi-cyclic codes[J];Journal of Shandong University of Technology(Natural Science Edition);2010-06
3 ZHANG Xue-jun~(1,2),WANG Hai-hua~1(1.School of Mathmatic Science,Suzhou University,Suzhou 215006,China;2.Department of Mathematics,Jiangsu Institute of Education,Nanjing 210013,China);The dual codes of quasi-cyclic codes[J];Journal of Suzhou University(Natural Science Edition);2006-04
4 XIN Xiaolong(Department of Mathematics, Northwest University,Xi′an 710069,China);Quasi-cyclic codes and quasi-cyclic subspaces[J];;2002-06
5 Bianba Galuo Lapa Tseren(School of Science,University of Tibet,Lhasa,Tibet 850000,China);The Structure of Quasi-cyclic Codes[J];Journal of Tibet University;2009-01
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