Hamming distances of cyclic codes of length z over finite fields

Author : Dr Jagbir Singh

Abstract :In this paper cyclic codes of length z (where z is of the form 11ps) over finite field Fpm are discussed. Cyclic codes are precisely the ideals of the chain ring . In this class of repeated root cyclic codes are considered and their algebraic structure in terms of generator polynomials are obtained. Then Hamming distances of repeated-root cyclic codes are obtained

Keywords :Cyclic codes, Repeated-root codes, Cyclotomic cosets, Minimal polynomial, Generator polynomial, Hamming distances.

Conference Name :International Conference on Applied Mathematics and Science (ICAMS-25)

Conference Place Delhi, India

Conference Date 20th Sep 2025