On the evaluation of Weil sums of Dembowski-Ostrom polynomials

DOI10.1006/JNTH.2001.2701zbMath1015.11063OpenAlexW2013682324MaRDI QIDQ5960990

Donald Mills

Publication date: 22 April 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2701

zbMATH Keywords

finite fieldpermutation polynomialadditive characterDembowski-Ostrom polynomialdiagonal-type equationtrace functionWeil sums

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Other character sums and Gauss sums (11T24)

Related Items (4)

Evaluation of Weil sums for some polynomials and associated quadratic forms ⋮ Weil sum for birthday attack in multivariate quadratic cryptosystem ⋮ The \(c\)-differential behavior of the inverse function under the \textit{EA}-equivalence ⋮ Explicit evaluation of some exponential sums

Cites Work

• Unnamed Item
• Planar functions and planes of Lenz-Barlotti class II
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Evaluation of some exponential sums over a finite field
• Further evaluations of Weil sums
• Explicit evaluations of some Weil sums

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