학술논문

Generalized Reed-Solomon codes over number fields and exact gradient coding
Document Type
article
Source
AIMS Mathematics, Vol 9, Iss 4, Pp 9508-9518 (2024)
Subject
generalized reed-solomon codes
generalized quasi-cyclic codes
number fields
galois group
exact gradient coding
Mathematics
QA1-939
Language
English
ISSN
2473-6988
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.