Group codes over symmetric groups
Let $ \Bbb F_{q} $ be a finite field of characteristic $ q $ and $ S_n $ a symmetric group of order $ n! $. In this paper, group codes in the symmetric group algebras $ \Bbb F_{q}S_n $ with $ q > 3 $ and $ n = 3, 4 $ are proposed. We compute the unique (linear and nonlinear) idempotents of $...
| Published in: | AIMS Mathematics |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-06-01
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| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231011?viewType=HTML |