Gauss sums for symplectic groups over a finite field

DOI10.1007/BF01312455zbMath1036.11529OpenAlexW1987603133MaRDI QIDQ1264305

Dae San Kim

Publication date: 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178824

zbMATH Keywords

Gauss sumKloosterman sumssymplectic similitude group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Exponential sums (11T23) Other character sums and Gauss sums (11T24)

Related Items

Ternary codes associated with \(O^{-}(2n,q)\) and power moments of Kloosterman sums with square arguments ⋮ Gauss sums over some matrix groups ⋮ A counting formula about the symplectic similitude group ⋮ Distribution questions for trace functions with values in cyclotomic integers and their reductions ⋮ Identities arising from Gauss sums for finite classical groups ⋮ CODES ASSOCIATED WITH Sp(4,q) AND EVEN-POWER MOMENTS OF KLOOSTERMAN SUMS ⋮ Gauss sums for \(O(2n+1,q)\) ⋮ Traces of powers of matrices over finite fields ⋮ CONSTRUCTION OF RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS: O + (2n, 2 r ) CASE

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