On the number of solutions of certain diagonal equations over finite fields

DOI10.1016/j.ffa.2016.08.003zbMath1419.11127OpenAlexW2513508529MaRDI QIDQ324291

Xiwang Cao, Wun-Seng Chou, Jingjing Gu

Publication date: 10 October 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.08.003

zbMATH Keywords

Gauss sumcovering radiusfinite fieldcyclic codeWaring's problemdiagonal equation

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Polynomials over finite fields (11T06) Other character sums and Gauss sums (11T24) Cyclic codes (94B15) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (7)

On maximal and minimal hypersurfaces of Fermat type ⋮ Complete weight enumerators of three classes of linear codes ⋮ Some subfield codes from MDS codes ⋮ Three deterministic constructions of compressed sensing matrices with low coherence ⋮ On diagonal equations over finite fields ⋮ Degree matrices and enumeration of rational points of some hypersurfaces over finite fields ⋮ On the number of solutions of systems of certain diagonal equations over finite fields

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