• DocumentCode
    1301325
  • Title

    Spectral Method for Quasi-Cyclic Code Analysis

  • Author

    Semenov, P. ; Trifonov, P.

  • Author_Institution
    Dept. of Distrib. Comput. & Networking, St.-Petersburg State Polytech. Univ., St. Petersburg, Russia
  • Volume
    16
  • Issue
    11
  • fYear
    2012
  • fDate
    11/1/2012 12:00:00 AM
  • Firstpage
    1840
  • Lastpage
    1843
  • Abstract
    A generalization of the BCH bound to the case of quasi-cyclic codes is proposed. The new approach is based on eigenvalues of matrix polynomials. This results in improved minimum distance estimates compared to the existing bounds.
  • Keywords
    cyclic codes; eigenvalues and eigenfunctions; polynomial matrices; BCH bound generalization; matrix polynomial eigenvalues; quasicyclic code analysis; Eigenvalues and eigenfunctions; Linear code; Matrices; Parity check codes; Polynomials; Vectors; BCH; Quasi-cyclic codes; eigenvalues; matrix polynomials; minimum distance estimation;
  • fLanguage
    English
  • Journal_Title
    Communications Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1089-7798
  • Type

    jour

  • DOI
    10.1109/LCOMM.2012.091712.120834
  • Filename
    6313583
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1301325