ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC

Quasi-cyclic codes over Zps

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2013.08.003
  • Received Date: 22 March 2012
  • Rev Recd Date: 15 May 2012
  • Publish Date: 31 August 2013
  • 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.
    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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