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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.04013 |
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| _version_ | 1866912468070039552 |
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| author | Assuena, Samir Pereira, André Luiz Martins |
| author_facet | Assuena, Samir Pereira, André Luiz Martins |
| contents | In this paper, we shall study k-Galois LCD constacyclic group codes over finite commutative chain rings with identity. In particular, we shall characterize Galois LCD constacyclic codes over finite commutative chain ring with identity in terms of its idempotent generators and the classical involution using the twisted group ring structures and find some good LCD codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04013 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | LCD and self-orthogonal twisted group codes over finite commutative chain rings Assuena, Samir Pereira, André Luiz Martins Rings and Algebras Information Theory Primary 20C05, Secondary 16S34 In this paper, we shall study k-Galois LCD constacyclic group codes over finite commutative chain rings with identity. In particular, we shall characterize Galois LCD constacyclic codes over finite commutative chain ring with identity in terms of its idempotent generators and the classical involution using the twisted group ring structures and find some good LCD codes. |
| title | LCD and self-orthogonal twisted group codes over finite commutative chain rings |
| topic | Rings and Algebras Information Theory Primary 20C05, Secondary 16S34 |
| url | https://arxiv.org/abs/2507.04013 |