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Indeterminates and incidence matrices
On transversal designs
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affine spaces algebraic association scheme Assume base point binary block designs BOSE chapter code of order coding theory compatible condition configuration contains defined definition DEMBOWSKI denote diagonal elements example exists field F finite nearaffine space fully indecomposable Gauss sum geometry GF(q given Gleason's theorem graph Hamming schemes Hence hyperplane implies incidence matrix ind(x indeterminates invariants of G irreducible Johnson schemes lemma Let F line G linear codes MACWILLIAMS Math matrix equation metric scheme Molien series N.J.A. Sloane nearfield nearly perfect codes non-zero number of points obtain orthogonal Latin squares perfect codes permutation groups polynomial positive integers prime power projective plane PROOF properties proposition 2.2 prove Q-polynomial quadratic residue quasigroups remark root of unity self-dual code space F straight lines subset t-designs theorem 3.2 transversal design vector weight enumerator x,y e zeros