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

✍ Scribed by Junhua Wu

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
144 KB
Volume
18
Category
Article
ISSN
1063-8539

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✦ Synopsis

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 submatrices over F~q~, the defining field of PG(2, q), is determined. Β© 2010 Wiley Periodicals, Inc. J Combin Designs 18: 224–236, 2010

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