Eigenvalues of association schemes of quadratic forms Original Research Article

The duality and primitivity of the association scheme image of quadratic forms in n variables and the association scheme image of symmetric bilinear forms in n variables over the finite field image are discussed by Wang et al. [Association schemes of quadratic forms and symmetric bilinear forms, J. Algebraic Combin. 17 (2003) 149–161]. In this paper, eigenvalues of image are computed, where q is a power of 2. As an application, two fusion schemes of image are discussed and their dual schemes are constructed.