Constacyclic codes of length $p^{s}n$ over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$

Yonglin Cao, Yuan Cao, Jian Gao +1

Let ${\mathbb{F}}_{p^m}$ be a finite field of cardinality $p^m$ and $R={\mathbb{F}}_{p^m}[u]/⟨u^2⟩={\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$ $(u^2=0)$, where $p$ is a prime and…