Some $p$-ranks related to a conic in $PG(2,q)$

Details Some $p$-ranks related to a conic in $PG(2,q)$ Some $p$-ranks related to a conic in $PG(2,q)$

2010-02-05

arxiv.org/abs/1002.1138v1

Mathematics

Combinatorics

Scientific paper

Let $\A$ be the incidence matrix of lines and points of the classical
projective plane $PG(2,q)$ with $q$ odd. With respect to a conic in $PG(2,q)$,
the matrix $\A$ is partitioned into 9 submatrices. The rank of each of these
submatices over $\Ff_q$, the defining field of $PG(2,q)$, is determined.

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