A class of $p$-ary cyclic codes and their weight enumerators

Long Yu, Hongwei Liu

Let $m$, $k$ be positive integers such that $\frac{m}{\gcd (m,k)}\ge 3$, $p$ be an odd prime and $\pi$ be a primitive element of ${\mathbb{F}}_{p^m}$. Let $h_1(x)$ and $h_2(x)$ be the…