Repeated-root constacyclic codes over the finite chain ring ${\mathbb{F}}_{{\mathbf{p}}^{\mathbf{m}}}[\mathbf{u}]/⟨{\mathbf{u}}^3⟩$

Anuradha Sharma, Tania Sidana

Let $\mathcal{R}={\mathbb{F}}_{p^m}[u]/⟨u^3⟩$ be the finite commutative chain ring with unity, where $p$ is a prime, $m$ is a positive integer and ${\mathbb{F}}_{p^m}$ i…