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math.NT2013
Incidence Matrices of Polarized Projective Spaces
Chunlei Liu, Haode Yan
In this paper, we first define a non-degenerate symmetric bilinear form on Fq^4. Then we get an incidence matrix G of Fq^4 by the bilinear form. By its corresponding quadratic form…
math.NT2013
Incidence Matrices of Finite Quadratic Spaces
Chunlei Liu, Yan Liu
In this paper, we first prove the 2-rank of full incidence matrix of PG(n,q) with an odd prime power. Then by the quadratic form defined on PG(n,q), the points of it are classi…