On depth spectra of constacyclic codes

Abstract

In this paper, we determine depth spectra of all repeated-root $(\alpha +\gamma \beta )$-constacyclic codes of arbitrary lengths over a finite commutative chain ring $\mathcal{R},$ where $\alpha$ is a non-zero element of the Teichmüller set of $\mathcal{R},$ $\gamma$ is a generator of unique maximal ideal of $\mathcal{R}$ and $\beta$ is a unit in $\mathcal{R}.$ We also illustrate our results with some examples.

Submitted to Discrete Mathematics on April 4, 2019. Manuscript Number: DM 27649