Construction of minimal linear codes from multi-variable functions

Jong Yoon Hyun; Boran Kim; Minwon Na

doi:10.3934/AMC.2020055

Construction of minimal linear codes from multi-variable functions

Jong Yoon Hyun, Boran Kim, Minwon Na

Department of Mathematics Education

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

6 Scopus citations

Abstract

In this paper, we define a linear code by using multi-variable func-tions, and construct three classes of minimal linear codes with few-weight from multi-variable functions.

Original language	English
Pages (from-to)	227-240
Number of pages	14
Journal	Advances in Mathematics of Communications
Volume	15
Issue number	2
DOIs	https://doi.org/10.3934/AMC.2020055
State	Published - 2021

Keywords

AB-condition
HDZ-condition
Minimal linear code
Multi-variable function

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title = "Construction of minimal linear codes from multi-variable functions",

abstract = "In this paper, we define a linear code by using multi-variable func-tions, and construct three classes of minimal linear codes with few-weight from multi-variable functions.",

keywords = "AB-condition, HDZ-condition, Minimal linear code, Multi-variable function",

author = "Hyun, {Jong Yoon} and Boran Kim and Minwon Na",

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KW - HDZ-condition

KW - Minimal linear code

KW - Multi-variable function

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Construction of minimal linear codes from multi-variable functions

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