• Cyclic codes of length 2m

• Fulltext

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

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

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019