CONSTRUCTION OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS: O + (2n, 2 r ) CASE

DOI10.4134/JKMS.j190225zbMath1459.11226OpenAlexW3034204975MaRDI QIDQ5108983

Dae San Kim

Publication date: 7 May 2020

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHBB&py=2020&vnc=v57n3&sp=585

zbMATH Keywords

orthogonal groupdouble cosetsKloosterman summaximal parabolic2-dimensional Kloosterman sum

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Linear codes (general theory) (94B05) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

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• Codes associated with special linear groups and power moments of multi-dimensional Kloosterman sums
• Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums
• Kloosterman sums and Fourier coefficients of cusp forms
• Gauss sums for symplectic groups over a finite field
• Motivic orthogonal two-dimensional representations of \(\text{Gal}(\overline\mathbb{Q}/\mathbb{Q})\)
• Infinite families of recursive formulas generating power moments of ternary Kloosterman sums with square arguments arising from symplectic groups
• The modularity of the Barth--Nieto quintic and its relatives
• Codes Associated with and Power Moments of Kloosterman Sums
• 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
• Gauss sums for orthogonal groups over a finite field of characteristic two
• Gauss sums over finite fields of order $2^n$
• A note on exponential sums
• Seventh power moments of Kloosterman sums

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