Construction and enumeration for self-dual cyclic codes of even length over ${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}$

Yuan Cao, Yonglin Cao, Hai Q. Dinh +2

Let ${\mathbb{F}}_{2^m}$ be a finite field of cardinality $2^m$, $R={\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}$ $(u^2=0)$ and $s,n$ be positive integers such that $n$ is odd. In this paper,…