Proof of a conjectured three-valued family of Weil sums of binomials

DOI10.4064/aa169-2-5zbMath1369.11093arXiv1409.2459OpenAlexW2265012697MaRDI QIDQ5255552

Philippe Langevin, Daniel J. Katz

Publication date: 15 June 2015

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

Full work available at URL: https://arxiv.org/abs/1409.2459

zbMATH Keywords

finite fieldcharacter sumWeil sumtrilinear form

Mathematics Subject Classification ID

Applications of graph theory (05C90) Curves over finite and local fields (11G20) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (4)

A survey on the applications of Niho exponents ⋮ The \(p\)-adic valuations of Weil sums of binomials ⋮ A family of optimal ternary cyclic codes from the Niho-type exponent ⋮ On Weil sums, conjectures of Helleseth, and Niho exponents

Cites Work

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• Explicit evaluation of certain exponential sums.
• Further evaluations of Weil sums
• Ternary m-sequences with three-valued cross-correlation function: new decimations of Welch and Niho type
• Stepanov's Method Applied to Binomial Exponential Sums
• Cyclotomy of Weil sums of binomials
• A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences

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