New distance bounds for quasi-cyclic codes

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Özbudak, Ferruh and Özkaya, Buket (2024) New distance bounds for quasi-cyclic codes. Designs, Codes, and Cryptography, 92 (12). pp. 3981-4009. ISSN 0925-1022 (Print) 1573-7586 (Online)

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Abstract

We consider the minimum weight of codewords in a quasi-cyclic code and characterize the estimate in its most general setup using their concatenated structure. The new bound we derive generalizes the Jensen and Güneri–Özbudak bounds and it holds for the more general class of multilevel concatenated codes.
Item Type: Article
Uncontrolled Keywords: 11T71; 94B60; 94B65; Concatenated structure; Minimum distance bounds; Quasi-cyclic codes
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Ferruh Özbudak
Date Deposited: 08 Oct 2025 12:38
Last Modified: 08 Oct 2025 12:38
URI: https://research.sabanciuniv.edu/id/eprint/52945

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