Linear codes with few weights from vectorial dual-bent functions

被引：0

作者：

Wang, Zhicheng ^{[1
]}

Wang, Qiang ^{[2
]}

Yang, Shudi ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2025年 / 108卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Linear code; Vectorial dual-bent function; Weight distribution; Self-orthogonal code; Asymmetric quantum code;

D O I：

10.1016/j.ffa.2025.102660

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear codes with few weights have wide applications in secret sharing, authentication codes, strongly regular graphs and association schemes. In this paper, we present linear codes from vectorial dual-bent functions and permutation polynomials, such that their parameters and weight distributions can be explicitly determined. In particular, some of them are three-weight optimal or almost optimal codes. As applications, we extend these codes to construct self-orthogonal codes and show the existence of asymmetric quantum codes. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

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