Title
Singleton-Type Optimal Lrcs With Minimum Distance 3 And 4 From Projective Code
Abstract
Locally repairable codes (LRCs) are implemented in distributed storage systems (DSSs) due to their low repair overhead. The locality of an LRC is the number of nodes in DSSs that participate in the repair of failed nodes, which characterizes the repair cost. An LRC is called optimal if its minimum distance attains the Singleton-type upper bound [1]. In this letter, optimal LRCs are considered. Using the concept of projective code in projective space PG(k, q) and shortening strategy, LRCs with d=3 are proposed. Meantime, derived from an ovoid [q(2) + 1, 4, q(2)](q) code (responding to a maximal (q(2) + 1)-cap in PG(3, q)), optimal LRCs over F-q with d = 4 are constructed.
Year
DOI
Venue
2021
10.1587/transfun.2019EAL2158
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
DocType
Volume
Singleton-type bound, optimal locally repairable codes, projective cap
Journal
E104A
Issue
ISSN
Citations 
1
0916-8508
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Qiang Fu100.34
Ruihu Li2346.11
Luobin Guo3144.00
Gang Chen412320.19