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; T. Aaron Gulliver

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arXiv · 1211.7326

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·T. Aaron Gulliver

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Abstract

We give the structure of $\lambda$-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 $\lambda \in \F_{p^r}^*$. We also give the structure of $\lambda$-constacyclic codes of length $p^sm$ with $\lambda=\alpha_1+u\alpha_2+...+u^{e-1} \alpha_{e-1}$, where $\alpha_1,\alpha_2 \neq 0$ and study the self-duality of these codes.

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Kenza Guenda, T. Aaron Gulliver. 2012-11-30. Repeated Root Constacyclic Codes of Length $mp^s$ over $\mathbb{F}_{p^r}+u \mathbb{F}_{p^r}+...+ u^{e-1}\mathbb{F}_{p^r}$. https://arxiv.org/abs/1211.7326

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