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Central and non central codes of dihedral 2-groups

In this paper, the central and non central codes of semisimple dihedral group algebra \(\mathbb{F}_qG\), over a finite field \(\mathbb{F}_q\), are constructed. Further the distances of these central and non central codes are computed.

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Bibliographic Details
Main Authors: Gupta, S., Rani, P.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2022
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1569
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-15692022-06-15T04:49:44Z Central and non central codes of dihedral 2-groups Gupta, S. Rani, P. group algebra, idempotents, central codes, non central codes, distance 11T71, 94B60, 95B65 In this paper, the central and non central codes of semisimple dihedral group algebra \(\mathbb{F}_qG\), over a finite field \(\mathbb{F}_q\), are constructed. Further the distances of these central and non central codes are computed. Lugansk National Taras Shevchenko University COUNCIL OF SCIENTIFIC AND INDUSTRIAL RESEACH, INDIA 2022-06-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1569 10.12958/adm1569 Algebra and Discrete Mathematics; Vol 33, No 1 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1569/pdf Copyright (c) 2022 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic group algebra
idempotents
central codes
non central codes
distance
11T71
94B60
95B65
spellingShingle group algebra
idempotents
central codes
non central codes
distance
11T71
94B60
95B65
Gupta, S.
Rani, P.
Central and non central codes of dihedral 2-groups
topic_facet group algebra
idempotents
central codes
non central codes
distance
11T71
94B60
95B65
format Article
author Gupta, S.
Rani, P.
author_facet Gupta, S.
Rani, P.
author_sort Gupta, S.
title Central and non central codes of dihedral 2-groups
title_short Central and non central codes of dihedral 2-groups
title_full Central and non central codes of dihedral 2-groups
title_fullStr Central and non central codes of dihedral 2-groups
title_full_unstemmed Central and non central codes of dihedral 2-groups
title_sort central and non central codes of dihedral 2-groups
description In this paper, the central and non central codes of semisimple dihedral group algebra \(\mathbb{F}_qG\), over a finite field \(\mathbb{F}_q\), are constructed. Further the distances of these central and non central codes are computed.
publisher Lugansk National Taras Shevchenko University
publishDate 2022
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1569
work_keys_str_mv AT guptas centralandnoncentralcodesofdihedral2groups
AT ranip centralandnoncentralcodesofdihedral2groups
first_indexed 2024-04-12T06:27:38Z
last_indexed 2024-04-12T06:27:38Z
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