Exact solutions to Waring's problem for finite fields

DOI10.4064/aa141-2-3zbMath1206.11121arXiv0810.0485OpenAlexW2085169541MaRDI QIDQ5306687

Christiaan van de Woestijne, Arne Winterhof

Publication date: 9 April 2010

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0485

zbMATH Keywords

covering radiusWaring's problemLee metricequations over finite fieldsexact values

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Waring's problem and variants (11P05) Bounds on codes (94B65)

Related Items (7)

The Waring's problem over finite fields through generalized Paley graphs ⋮ Waring numbers over finite commutative local rings ⋮ On the Odlyzko-Stanley enumeration problem and Waring's problem over finite fields ⋮ On the Waring problem with Dickson polynomials in finite fields ⋮ Polynomial quotients: Interpolation, value sets and Waring's problem ⋮ A reduction formula for Waring numbers through generalized Paley graphs ⋮ Polynomial values in affine subspaces of finite fields

This page was built for publication: Exact solutions to Waring's problem for finite fields