Divisibility properties of classical binary Kloosterman sums

DOI10.1016/j.disc.2008.11.010zbMath1229.11154OpenAlexW2011097248MaRDI QIDQ1043564

Tor Helleseth, Pascale Charpin, Victor A. Zinoviev

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.11.010

zbMATH Keywords

exponential sumBCH codebinary Kloosterman sumscoset weight distributionInverse cubic sum

Mathematics Subject Classification ID

Exponential sums (11T23) Combinatorial codes (94B25)

Related Items (10)

On classical Kloosterman sums ⋮ On divisibility of exponential sums of polynomials of special type over fields of characteristic 2 ⋮ Hyperbent functions from hyperovals ⋮ A new class of bent and hyper-bent Boolean functions in polynomial forms ⋮ On Kloosterman sums over finite fields of characteristic 3 ⋮ Improvement to Moreno-Moreno's theorems ⋮ Special values of Kloosterman sums and binomial bent functions ⋮ Binary Kloosterman Sums with Value 4 ⋮ A NOTE ON SOME CHARACTER SUMS OVER FINITE FIELDS ⋮ A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions

Cites Work

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• The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd
• On binary Kloosterman sums divisible by 3
• On cosets of weight 4 of binary BCH codes with minimum distance 8 and exponential sums
• On Coset Weight Distributions of the 3-Error-Correcting BCH-Codes
• Explicit evaluation of certain exponential sums.
• Large families of quaternary sequences with low correlation
• On Cosets of Weight 4 of $BCH(2^{m},8), m$ Even, and Exponential Sums
• On the solution of algebraic equations over finite fields

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