A reduction formula for Waring numbers through generalized Paley graphs

DOI10.1007/s10801-022-01154-xOpenAlexW2990697514WikidataQ113901275 ScholiaQ113901275MaRDI QIDQ2084705

Ricardo A. Podestá, Denis E. Videla

Publication date: 18 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12761

zbMATH Keywords

finite fieldscyclic codesgeneralized Paley graphsvariant of Waring's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Congruences; primitive roots; residue systems (11A07) Distance in graphs (05C12)

Related Items (2)

Waring numbers over finite commutative local rings ⋮ Generalized Paley graphs equienergetic with their complements

Cites Work

• Permutation decoding of codes from generalized Paley graphs
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• Dessins d'Enfants on Riemann Surfaces
• Handbook of Finite Fields
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• The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
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