Gauss sums for orthogonal groups over a finite field of characteristic two

Dae Kim; Young Park

ArticleOriginal scientific text

Title

Gauss sums for orthogonal groups over a finite field of characteristic two

Authors ¹, ²

Affiliations

Department of Mathematics, Sogang University, Seoul 121-742, Korea
Department of Mathematics, Kangwon National University, Chuncheon 200-701, Korea

Keywords

ENG

Gauss sum, multiplicative character, additive character, orthogonal group, Kloosterman sum, Bruhat decomposition, maximal parabolic subgroup, Clifford algebra

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D. S. Kim, Gauss sums for U(2n+1,q²), submitted.
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D. S. Kim and I.-S. Lee, Gauss sums for O⁺(2n,q), Acta Arith. 78 (1996), 75-89.
F. J. MacWilliams, Orthogonal matrices over finite fields, Amer. Math. Monthly 76 (1969), 152-164.
Z.-X. Wan, Geometry of Classical Groups over Finite Fields, Studentlitteratur, Lund, 1993.

Title

Gauss sums for orthogonal groups over a finite field of characteristic two

Affiliations

Keywords

Bibliography