• Manju Pruthi

      Articles written in Proceedings – Mathematical Sciences

    • Cyclic codes of length 2m

      Manju Pruthi

      More Details Abstract Fulltext PDF

      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.

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