On the structure of repeated-root polycyclic codes over local rings

Abstract

This paper provides the Generalized Mattson Solomon polynomial for repeated-root polycyclic codes over local rings that gives an explicit decomposition of them in terms of idempotents. It also states some structural properties of repeated-root polycyclic codes over finite fields in terms of matrix product codes. Both approaches provide a description of the -dual code for a given polycyclic code

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Eastern Kentucky University

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Last time updated on 26/05/2024

This paper was published in Eastern Kentucky University.

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