Geometric construction of some families of two-class and three-class association schemes from nondegenerate quadrics in characteristics two

摘要

Taking nondegenerate quadrics in projective space over finite fields of ch.=2, we construct some families of two-class and three-class association schemes, and calculated their parameters. Moreover, for the three-class association scheme, we also compute all its eigenvalues, correspond- Ing multiplicities and the character table, and prove that it is a P-polynomial association scheme.