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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Date: | 2024 |
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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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Subjects: | |
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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