Two classes of 2-weight and 3-weight linear codes in terms of Kloosterman sums

Xiaoshan Quan; Qin Yue; Xia Li; Chengju Li

doi:10.1007/s12095-022-00604-4

Two classes of 2-weight and 3-weight linear codes in terms of Kloosterman sums

Xiaoshan Quan
, Qin Yue^*
, Xia Li
, Chengju Li

^*此作品的通讯作者

软件工程学院

Nanjing University of Aeronautics and Astronautics
Southeast University, Nanjing

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In data storage systems, authentication codes, and some other fields, linear codes with few weights play an important role. In this paper, we use Kloosterman sums to construct two classes of 2-weight and 3-weight linear codes with new parameters.

源语言	英语
页（从-至）	365-380
页数	16
期刊	Cryptography and Communications
卷	15
期	2
DOI	https://doi.org/10.1007/s12095-022-00604-4
出版状态	已出版 - 3月 2023

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10.1007/s12095-022-00604-4

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title = "Two classes of 2-weight and 3-weight linear codes in terms of Kloosterman sums",

abstract = "In data storage systems, authentication codes, and some other fields, linear codes with few weights play an important role. In this paper, we use Kloosterman sums to construct two classes of 2-weight and 3-weight linear codes with new parameters.",

keywords = "Kloosterman suns, Linear codes, Weight distribution",

author = "Xiaoshan Quan and Qin Yue and Xia Li and Chengju Li",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = mar,

doi = "10.1007/s12095-022-00604-4",

language = "英语",

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TY - JOUR

T1 - Two classes of 2-weight and 3-weight linear codes in terms of Kloosterman sums

AU - Quan, Xiaoshan

AU - Yue, Qin

AU - Li, Xia

AU - Li, Chengju

PY - 2023/3

Y1 - 2023/3

N2 - In data storage systems, authentication codes, and some other fields, linear codes with few weights play an important role. In this paper, we use Kloosterman sums to construct two classes of 2-weight and 3-weight linear codes with new parameters.

AB - In data storage systems, authentication codes, and some other fields, linear codes with few weights play an important role. In this paper, we use Kloosterman sums to construct two classes of 2-weight and 3-weight linear codes with new parameters.

KW - Kloosterman suns

KW - Linear codes

KW - Weight distribution

UR - https://www.scopus.com/pages/publications/85135801357

U2 - 10.1007/s12095-022-00604-4

DO - 10.1007/s12095-022-00604-4

M3 - 文章

AN - SCOPUS:85135801357

SN - 1936-2447

VL - 15

SP - 365

EP - 380

JO - Cryptography and Communications

JF - Cryptography and Communications

IS - 2

ER -

Two classes of 2-weight and 3-weight linear codes in terms of Kloosterman sums

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