Ternary Kloosterman sums modulo 4

DOI10.1016/j.ffa.2011.07.006zbMath1309.11087OpenAlexW2054231036MaRDI QIDQ661985

Faruk Göloğlu

Publication date: 11 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.07.006

zbMATH Keywords

quadratic Gauss sumsternary Kloosterman sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Congruences; primitive roots; residue systems (11A07)

Related Items

On the 2-ranks of a class of unitals ⋮ On classical Kloosterman sums ⋮ Some congruences of Kloosterman sums and their characteristic polynomials ⋮ On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to \(x^{-1}+L(x)\) ⋮ Special values of Kloosterman sums and binomial bent functions

Cites Work

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• Kloosterman sums and the \(p\)-torsion of certain Jacobians
• The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd
• On ternary Kloosterman sums modulo 12
• On binary Kloosterman sums divisible by 3
• The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) even
• On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums
• Binary Kloosterman sums using Stickelberger's theorem and the Gross–Koblitz formula
• Ternary Kloosterman Sums Modulo 18 Using Stickelberger’s Theorem
• On the Connection between Kloosterman Sums and Elliptic Curves
• Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials