Hulls of cyclic codes with respect to the regular permutation inner product

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
Hauptverfasser: Quan, Xiaoshan, Yue, Qin, Sun, Fuqing
Format: Artikel
Sprache:eng
Schlagworte:
BCH codes
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
Hulls
Permutations
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Beschreibung
Zusammenfassung: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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-024-01428-4