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Erschienen in: Cryptography and Communications 2/2024

10.10.2023 | Research

Construction of binary self-orthogonal codes

verfasst von: Xiaoshan Kai, Jiayuan Zhang, Ping Li, Shixin Zhu

Erschienen in: Cryptography and Communications | Ausgabe 2/2024

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Abstract

In this paper, we first give two new methods for constructing self-orthogonal codes from known self-orthogonal codes. On the basis of this, we construct four infinite classes of binary self-orthogonal codes. Moreover, we also determine their weight distributions and the minimum distances of their dual codes. Furthermore, we present a class of optimal linear codes and a class of almost optimal linear codes with respect to the Sphere Packing Bound.

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Metadaten
Titel
Construction of binary self-orthogonal codes
verfasst von
Xiaoshan Kai
Jiayuan Zhang
Ping Li
Shixin Zhu
Publikationsdatum
10.10.2023
Verlag
Springer US
Erschienen in
Cryptography and Communications / Ausgabe 2/2024
Print ISSN: 1936-2447
Elektronische ISSN: 1936-2455
DOI
https://doi.org/10.1007/s12095-023-00677-9

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