Infinite families of recursive formulas generating power moments of Kloosterman sums: O −(2n,2r) case

DOI10.2478/S12175-013-0132-3zbMath1340.11094arXiv0907.3972OpenAlexW2964326966MaRDI QIDQ5746283

Dae San Kim

Publication date: 18 February 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3972

zbMATH Keywords

orthogonal groupdouble cosetsweight distributionKloosterman sumspecial orthogonal groupPless power moment identitymaximal parabolic subgroup\(2\)-dimensional Kloosterman sum

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Linear codes (general theory) (94B05) Exponential sums (11T23)

Cites Work

• Infinite families of recursive formulas generating power moments of ternary Kloosterman sums with square arguments arising from symplectic groups
• The weights of the orthogonals of the extended quadratic binary Goppa codes
• Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
• The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
• Seventh power moments of Kloosterman sums

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