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Quasi-cyclic codes over Zps

  • School of Mathematics, Hefei University of Technology, Hefei 230009, China

Cite this: JUSTC, 2013, 43(8): 622-625
https://doi.org/10.3969/j.issn.0253-2778.2013.08.003
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  • Received Date: March 21, 2012
  • Revised Date: May 14, 2012
  • Published Date: August 30, 2013
    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.
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