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Open Access Research Article Issue
Generalized Reed-Solomon codes over number fields and exact gradient coding
Irwansyah, Intan Muchtadi-Alamsyah, Fajar Yuliawan, Muhammad Irfan Hidayat
AIMS Mathematics 2024, 9(4): 9508-9518
Published: 15 April 2024
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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.

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