Complete weight enumerators of some classes of linear codes with a few weights

Yiwei Liu; Zihui Liu

doi:10.4134/BKMS.b170079

Complete weight enumerators of some classes of linear codes with a few weights

Yiwei Liu, Zihui Liu

School of Mathematics and Statistics

Beijing Institute of Technology

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

Abstract

By choosing defining set properly, several classes of linear codes with a few weights over the finite field F_p are constructed for an odd prime p, and the complete weight enumerators of these classes of codes are determined.

Original language	English
Pages (from-to)	717-734
Number of pages	18
Journal	Bulletin of the Korean Mathematical Society
Volume	55
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.b170079
Publication status	Published - 2018

Keywords

Authentication codes
Complete weight enumerators
Gauss sum
Secret sharing schemes
Trace function

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10.4134/BKMS.b170079

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title = "Complete weight enumerators of some classes of linear codes with a few weights",

abstract = "By choosing defining set properly, several classes of linear codes with a few weights over the finite field Fp are constructed for an odd prime p, and the complete weight enumerators of these classes of codes are determined.",

keywords = "Authentication codes, Complete weight enumerators, Gauss sum, Secret sharing schemes, Trace function",

author = "Yiwei Liu and Zihui Liu",

note = "Publisher Copyright: {\textcopyright} 2018 Korean Mathematial Soiety.",

year = "2018",

doi = "10.4134/BKMS.b170079",

language = "English",

volume = "55",

pages = "717--734",

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AU - Liu, Zihui

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AB - By choosing defining set properly, several classes of linear codes with a few weights over the finite field Fp are constructed for an odd prime p, and the complete weight enumerators of these classes of codes are determined.

KW - Authentication codes

KW - Complete weight enumerators

KW - Gauss sum

KW - Secret sharing schemes

KW - Trace function

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DO - 10.4134/BKMS.b170079

M3 - Article

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VL - 55

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JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

ER -

Complete weight enumerators of some classes of linear codes with a few weights

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Keywords

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