Journal of University of Science and Technology of China ›› 2013, Vol. 43 ›› Issue (8): 622-625.DOI: 10.3969/j.issn.0253-2778.2013.08.003
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CHU Qiang
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Abstract: The quasi-cyclic codes of length mn over R=Zps were studied, where p is a prime and s is an arbitrary positive integer. By exploring the structure, the quasi-cyclic codes of length mn over R were shown to be equivalent to A-submodules of An, where A=R[x]/(xm-1). Then the case was studied in which quasi-cyclic codes over R can be decomposed into a direct sum of a fixed number of irreducible cyclic submodules when gcd(m,p)=1.
Key words: quasi-cyclic codes, irreducible modules, cyclic modules, direct sum
CHU Qiang, ZHU Shixin. Quasi-cyclic codes over Zps [J]. Journal of University of Science and Technology of China, 2013, 43(8): 622-625.
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2013.08.003
http://just-cn.ustc.edu.cn/EN/Y2013/V43/I8/622