Quasi-cyclic codes of index 2
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914264264998912 |
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| author | Abdukhalikov, Kanat Dzhumadil'daev, Askar S. Ling, San |
| author_facet | Abdukhalikov, Kanat Dzhumadil'daev, Askar S. Ling, San |
| contents | We study quasi-cyclic codes of index 2 over finite fields. We give a classification of such codes. Their duals with respect to the Euclidean, symplectic and Hermitian inner products are investigated. We describe self-orthogonal and dual-containing codes. Lower bounds for minimum distances of quasi-cyclic codes are given. A quasi-cyclic code of index 2 is generated by at most two elements. We describe conditions when such a code (or its dual) is generated by one element. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-cyclic codes of index 2 Abdukhalikov, Kanat Dzhumadil'daev, Askar S. Ling, San Information Theory 94B05, 94B15, 94B60 We study quasi-cyclic codes of index 2 over finite fields. We give a classification of such codes. Their duals with respect to the Euclidean, symplectic and Hermitian inner products are investigated. We describe self-orthogonal and dual-containing codes. Lower bounds for minimum distances of quasi-cyclic codes are given. A quasi-cyclic code of index 2 is generated by at most two elements. We describe conditions when such a code (or its dual) is generated by one element. |
| title | Quasi-cyclic codes of index 2 |
| topic | Information Theory 94B05, 94B15, 94B60 |
| url | https://arxiv.org/abs/2504.00568 |