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A Characterization of the q-Ary Images of qm-Ary Cyclic Codes

  • G. E. Séguin
  • I. Woungang
Part of the International Centre for Mechanical Sciences book series (CISM, volume 339)

Abstract

We give a simple characterization of the q-ary images of the qm-ary cyclic codes of length n in the special case when the order of q module (qm − 1)/(n,qm − 1) is m. This is done by introducing an appropriate modulo structure on F q mn .

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References

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    C.L. Chen, W.W. Peterson and EJ. Weldon, Jr., “Some Results on Quasi-Cyclic Codes”, Information and Control, Vol. 15, Nov. 1969, pp. 407–423.CrossRefzbMATHMathSciNetGoogle Scholar
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    G.E. Séguin and G. Drolet, “The Trace Description of Irreducible Quasi-Cyclic Codes”. IEEE Trans. on Information Theory,Vol. 36, No. 6, Nov. 1990, pp. 14631466.Google Scholar
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    G.E. Séguin and H.I. Huynh, “Quasi-Cyclic codes: A Study”, report published by the Laboratoire de Radiocommunications et de Traitement du Signal, Université Laval, Québec, Canada, !1985.Google Scholar
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    N. Jacobson, Lectures in°Abstract Algebra. Vol. II. D. Van Nostrand Co., 1953.Google Scholar

Copyright information

© Springer-Verlag Wien 1993

Authors and Affiliations

  • G. E. Séguin
    • 1
  • I. Woungang
    • 2
  1. 1.Royal Military College of CanadaKingstonCanada
  2. 2.G.E.C.T.University of Toulon and VarLa GardeFrance

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