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

2010/02/05 by Junhua Wu, Wu, Junhua
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Finite Group Theory Research #graph theory and CDMA systems #math.CO

paper · pdf · doi:10.48550/arxiv.1002.1138

arxiv created 2010/02/05 · arxiv updated 2010/02/26

Abstract

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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