BCH and LCD cyclic codes of length $n=\lambda (q^m+1)$ over finite fields

Jinle Liu, Hongfeng Wu, Li Zhu

BCH and LCD cyclic codes of length $n=\lambda (q^m+1)$ with $\lambda \mid q-1$ are studied. A complete characterization of $q$-cyclotomic cosets modulo $n$ is given: Theorem \ref{th4} provides a…