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CN 34-1054/N

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Negacyclic codes over Fq+uFq+…+uk－1Fq

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

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2015.06.006
  • Received Date: 04 February 2015
  • Accepted Date: 08 April 2015
  • Rev Recd Date: 08 April 2015
  • Publish Date: 30 June 2015
    Abstract

  • Abstract

    Negacyclic codes of arbitrary lengths over the polynomial residue ring Fq+uFq+…+uk－1Fq were studied. By means of the finite ring theory, the structure of negacyclic codes over the ring of arbitrary lengths was given. The Hamming distance of negacyclic codes of length ps over the ring was also studied.

    Abstract

    Negacyclic codes of arbitrary lengths over the polynomial residue ring Fq+uFq+…+uk－1Fq were studied. By means of the finite ring theory, the structure of negacyclic codes over the ring of arbitrary lengths was given. The Hamming distance of negacyclic codes of length ps over the ring was also studied.
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