Extended binary Golay codes by a group algebra

We study the construction of extended binary Golay codes with respect to the principle (left) ideals of the group algebra \(\mathbb{F}_2G\) of a group \(G\) of order 24 over a field of two elements \(\mathbb{F}_2\). All elements of \(v\in \mathbb{F}_2G\), which generate the principle ideals that def...

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Bibliographic Details
Date:2024
Main Authors: Bortos, Maria Yu., Tylyshchak, Alexander A., Khymynets, Myroslava V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2241
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics