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

^*Corresponding author for this work

Software Engineering Institute

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	365-380
Number of pages	16
Journal	Cryptography and Communications
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/s12095-022-00604-4
State	Published - Mar 2023

Keywords

Kloosterman suns
Linear codes
Weight distribution

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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",

volume = "15",

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journal = "Cryptography and Communications",

issn = "1936-2447",

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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

Abstract

Keywords

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