Hulls of cyclic codes with respect to the regular permutation inner product
In this paper, we introduce regular permutation inner products which contain the Euclidean inner product. And we generalize some properties of the Euclidean inner product to regular permutation inner products. As application, we construct a lot of cyclic codes with specific regular permutation hulls...
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| Veröffentlicht in: | Designs, codes, and cryptography codes, and cryptography, 2024-10, Vol.92 (10), p.3063-3083 |
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| container_issue | 10 |
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| container_title | Designs, codes, and cryptography |
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| creator | Quan, Xiaoshan Yue, Qin Sun, Fuqing |
| description | In this paper, we introduce regular permutation inner products which contain the Euclidean inner product. And we generalize some properties of the Euclidean inner product to regular permutation inner products. As application, we construct a lot of cyclic codes with specific regular permutation hulls and also obtain the dimensions and distances of some BCH codes. |
| doi_str_mv | 10.1007/s10623-024-01428-4 |
| format | Article |
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| ispartof | Designs, codes, and cryptography, 2024-10, Vol.92 (10), p.3063-3083 |
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| language | eng |
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| subjects | BCH codes Coding and Information Theory Computer Science Cryptology Discrete Mathematics in Computer Science Hulls Permutations |
| title | Hulls of cyclic codes with respect to the regular permutation inner product |
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