@article{Irwansyah2024, 
author = { Irwansyah and Intan Muchtadi-Alamsyah and Fajar Yuliawan and Muhammad Irfan Hidayat},
title = {Generalized Reed-Solomon codes over number fields and exact gradient coding},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9508-9518},
keywords = {generalized Reed-Solomon codes, generalized quasi-cyclic codes, number fields, Galois group, exact gradient coding},
url = {https://www.sciopen.com/article/10.3934/math.2024464},
doi = {10.3934/math.2024464},
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.}
}