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Blocking sets of nonsecant lines to a conic in PG(2,q), q odd

✍ Scribed by Angela Aguglia; Gábor Korchmáros

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
115 KB
Volume
13
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

In a previous paper 1, all point sets of minimum size in PG(2,q), blocking all external lines to a given irreducible conic ${\cal C}$, have been determined for every odd q. Here we obtain a similar classification for those point sets of minimum size, which meet every external and tangent line to ${\cal C}$. © 2004 Wiley Periodicals, Inc.

📜 SIMILAR VOLUMES

Some p-ranks related to a conic in PG(2,
Some p-ranks related to a conic in PG(2, q)
✍ Junhua Wu 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## 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 o