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Metacyclic twisted codes

delete2026-05-01
delete0
PRE
AI
M
Mouatadid, Lhousain *
O
Oussama Kabbouch
O
Ou-azzou, Hassan
M
Mustapha Najmeddine
DOI：10.1016/j.disc.2026.115201delete
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Abstract

Abstract

En 中文
We introduce a new class of twisted group codes defined over finite fields and associated with metacyclic groups. These codes are classified using cohomological tools. In doing so, we study isometry under the Hamming distance and present a necessary and sufficient cohomological condition for isometry. We extend Hurley's matrix representation to the setting of twisted group algebras, following the approach of Dougherty et al. [11]. This matrix framework facilitates explicit calculations within the algebra and supports the construction of codes with optimal parameters. Our results show that twisted group codes over metacyclic groups offer a rich structure for designing linear codes with desirable properties. (c) 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Keywords:
Twisted group algebra
Metacyclic group
Isometry
Cohomology

Journal

D
Discrete Mathematics
IF:
0.9
Papers:
292
Citations:
0

Organization

U
University of St Gallen
Scholars:
34
Papers: 21
Citations: 0
M
Moulay Ismail University of Meknes
Scholars:
78
Papers: 29
Citations: 0
Cited Papers

Cited Papers

No cited papers available