中文版 | English
Title

Construction of storage codes of rate approaching one on triangle-free graphs

Author
Corresponding AuthorXiang,Qing
Publication Years
2023
DOI
Source Title
ISSN
0925-1022
EISSN
1573-7586
Abstract
Consider an assignment of bits to the vertices of a connected graph Γ (V, E) with the property that the value of each vertex is a function of the values of its neighbors. A collection of such assignments is called a storage code of length |V| on Γ . In this paper we construct an infinite family of linear storage codes on triangle-free graphs with rates arbitrarily close to one.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First ; Corresponding
Funding Project
National Natural Science Foundation of China["12071206","12131011","12150710510"] ; Sino-German Mobility Programme[M-0157]
WOS Research Area
Computer Science ; Mathematics
WOS Subject
Computer Science, Theory & Methods ; Mathematics, Applied
WOS Accession No
WOS:001044178000001
Publisher
ESI Research Field
COMPUTER SCIENCE
Scopus EID
2-s2.0-85148275215
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/560313
DepartmentDepartment of Mathematics
深圳国家应用数学中心
Affiliation
1.Department of Mathematics and National Center for Applied Mathematics Shenzhen,Southern University of Science and Technology,Shenzhen,518055,China
2.Department of Mathematics and Shenzhen International Center of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
First Author AffilicationDepartment of Mathematics;  National Center for Applied Mathematics, SUSTech Shenzhen
Corresponding Author AffilicationDepartment of Mathematics
First Author's First AffilicationDepartment of Mathematics;  National Center for Applied Mathematics, SUSTech Shenzhen
Recommended Citation
GB/T 7714
Huang,Hexiang,Xiang,Qing. Construction of storage codes of rate approaching one on triangle-free graphs[J]. Designs, Codes, and Cryptography,2023.
APA
Huang,Hexiang,&Xiang,Qing.(2023).Construction of storage codes of rate approaching one on triangle-free graphs.Designs, Codes, and Cryptography.
MLA
Huang,Hexiang,et al."Construction of storage codes of rate approaching one on triangle-free graphs".Designs, Codes, and Cryptography (2023).
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