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

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

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.

Bibliographic Details
Main Authors:	Irwansyah, Intan Muchtadi-Alamsyah, Fajar Yuliawan, Muhammad Irfan Hidayat
Format:	Article
Language:	English
Published:	AIMS Press 2024-03-01
Series:	AIMS Mathematics
Subjects:	generalized reed-solomon codes generalized quasi-cyclic codes number fields galois group exact gradient coding
Online Access:	https://aimspress.com/article/doi/10.3934/math.2024464?viewType=HTML

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