The Number of Pairs of Quadratic Forms over Fq (q odd)

Author： Wan G.Z-X.D.  

Publisher： Academic Press

ISSN： 1071-5797

Source： Finite Fields and Their Applications, Vol.4, Iss.1, 1998-01, pp. : 38-42

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Abstract

The number of equivalence classes of pairs of quadratic forms in dimension n over Fq (q odd) is shown to equal the coefficient of tn in the expansion ofThis is reminiscent of a corresponding formula of Gow and Waterhouse for single asymmetric bilinear forms.

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