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

Authors : Irwansyah Irwansyah; Muhammad Irfan Hidayat; Intan Muchtadi-Alamsyah; Fajar Yuliawan
article cite 0 Year 2024
source: AIMS Mathematics
Abstract

<abstract><p>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.</p></abstract>


Concepts :
Quantum Computing Algorithms and Architecture
Cooperative Communication and Network Coding
Coding theory and cryptography
article cite 0 Year 2024 source AIMS Mathematics
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