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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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Datum:	2024
Hauptverfasser:	Bortos, Maria Yu., Tylyshchak, Alexander A., Khymynets, Myroslava V.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Lugansk National Taras Shevchenko University 2024
Schlagworte:	group algebra extended binary codes Golay codes self-dual codes codes over fields 22D20 94B05
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2241
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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