On depth spectra of constacyclic codes over finite commutative chain rings

12/12/2019
by   Anuradha Sharma, et al.
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The depth of a sequence plays an important role in studying its linear complexity in game theory, communication theory and cryptography. In this paper, we determine depth spectra of all repeated-root (α+γβ)-constacyclic codes of arbitrary lengths over a finite commutative chain ring R, where α is a non-zero element of the Teichmüller set of R and β is a unit in R. We also illustrate our results with some examples.

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