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oaioai:ojs2.jacodesmath.com:article/324

On generator polynomial matrices of quasi-cyclic codes with linear complementary duals

Authors
Publication date
28 April 2025
Publisher
IPEAK ACADEMY
Doi

    Abstract

    Using notion of generator polynomial matrices of quasi-cyclic codes, we show a necessary and sufficient condition for which these codes are to be linear complementary dual. This extends the well-known result by Yang and Massey on cyclic codes to quasi-cyclic codes. As an application we present various examples of optimal binary LCD quasi-cyclic codes

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    Journal of Algebra Combinatorics Discrete Structures and Applications (JACODESMATH, Yildiz Technical University - YTU)

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    Last time updated on 22/06/2025

    This paper was published in Journal of Algebra Combinatorics Discrete Structures and Applications (JACODESMATH, Yildiz Technical University - YTU).

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