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

Internet

https://aimspress.com/article/doi/10.3934/math.2024464?viewType=HTML

Similar Items