• Manju Pruthi

Articles written in Proceedings – Mathematical Sciences

• Cyclic codes of length 2m

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.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019