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Generalized Reed-Solomon codes over number fields and exact gradient coding.

Authors :
Irwansyah
Muchtadi-Alamsyah, Intan
Yuliawan, Fajar
Hidayat, Muhammad Irfan
Source :
AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 4, p9508-9518, 11p
Publication Year :
2024

Abstract

This paper describes generalized Reed-Solomon (GRS) codes over number fields that are invariant under certain permutations. We call these codes generalized quasi-cyclic (GQC) GRS codes. Moreover, we describe an application of GQC GRS codes over number fields to exact gradient coding. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
4
Database :
Complementary Index
Journal :
AIMS Mathematics (2473-6988)
Publication Type :
Academic Journal
Accession number :
176160654
Full Text :
https://doi.org/10.3934/math.2024464