Repeated Root Constacyclic Codes of Length $mp^s$ over $\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$
Kenza Guenda, Thomas Aaron Gulliver · arXiv (Cornell University) · 2012
We give the structure of $λ$-constacyclic codes of length $p^sm$ over $R=\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$ with $λ\in \F_{p^r}^*$. We also give the structure of $λ$-constacyclic codes of length $p^sm$ with $λ=α_1+uα_2+...+u^{e-1} α_{e-1}$, where $α_1,α_2 eq 0$ and study the self-duality of these codes.