• Cyclic codes of length 2m

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/111/04/0371-0379

    • Keywords

       

      Cyclotomic cosets; generator polynomial; idempotent generator; [n, k, d] cyclic codes

    • Abstract

       

      In this paper explicit expressions ofm + 1 idempotents in the ring$$R = F_q [X]/(X^{2^m } - 1)$$ are given. Cyclic codes of length 2m over the finite fieldFq, of odd characteristic, are defined in terms of their generator polynomials. The exact minimum distance and the dimension of the codes are obtained.

    • Author Affiliations

       

      Manju Pruthi1

      1. Department of Mathematics, M.D. University P.G. Regional Centre, Rewari - 123 401, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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