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Locally Recoverable Codes correcting many erasures over small fields.

Authors :
Ballico, E.
Source :
Designs, Codes & Cryptography; Sep2021, Vol. 89 Issue 9, p2157-2162, 6p
Publication Year :
2021

Abstract

We define linear codes which are s-Locally Recoverable Codes (or s-LRC), i.e. codes which are LRC in s ways, the case s = 1 roughly corresponding to the classical case of LRC codes. We use them to describe codes which correct many erasures, although they have small minimum distance. Any letter of a received word may be corrected using s different local codes. We use the Segre embedding of s local codes and then a linear projection. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
LINEAR codes
MAXIMA & minima

Details

Language :
English
ISSN :
09251022
Volume :
89
Issue :
9
Database :
Complementary Index
Journal :
Designs, Codes & Cryptography
Publication Type :
Academic Journal
Accession number :
152014720
Full Text :
https://doi.org/10.1007/s10623-021-00905-4