On depth spectra of constacyclic codes

Tania Sidana

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arXiv · 1912.05815

On depth spectra of constacyclic codes

Tania Sidana

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Abstract

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

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Tania Sidana. 2020-12-22. On depth spectra of constacyclic codes. https://arxiv.org/abs/1912.05815

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