Three new constructions of optimal linear codes with few weights

被引：3

作者：

Cheng, Yingjie ^{[1
]}

Cao, Xiwang ^{[1
,2
]}

Luo, Gaojun ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Sch Math Sci, Nanjing 210016, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Math Modeling & High Performance Comp Air Vehicles, Nanjing 210016, Peoples R China

[3] Nanyang Technol Univ, Sch Phys & Math Sci, 21 Nanyang Link, Singapore 637371, Singapore

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Linear code; Griesmer code; Weight distribution; Exponential sum; 3-WEIGHT CODES; 2-WEIGHT; ENUMERATORS;

D O I：

10.1007/s40314-023-02472-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear codes play a key role in widespread applications. In this paper, we propose three new constructions of linear codes. We give some sufficient conditions for the constructed linear codes to be optimal or distance-optimal in terms of the Griesmer bound. Three classes of distance-optimal linear codes with new parameters are presented. Under some constraints, we show that some of the presented linear codes have few weights.

引用

页数：16

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