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On Quasi-Cyclic Codes of Index 3
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Journal Article
On Quasi-Cyclic Codes of Index 3
2025
Overview
Quasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated. We give a characterization of self-orthogonal and dual-containing codes. A quasi-cyclic code of index 3 is generated by at most three elements. We describe conditions when such a code (or its dual) is generated by one element.
Publisher
MDPI AG
Subject
