Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$

A. Blokhuis; A.E. Brouwer; H.A. Wilbrink

doi:10.1515/advg.2003.2003.s1.245

Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$

A. Blokhuis, A.E. Brouwer, H.A. Wilbrink

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

15 Citations (Scopus)

Abstract

We find all minimal blocking sets of size 3 2 ðp þ 1Þ in PGð2; pÞ for p <41. There is one new sporadic example, for p ¼ 13. We find all maximal partial spreads of size 45 in PGð3; 7Þ.

Original language	English
Pages (from-to)	S245-S253
Journal	Advances in Geometry
Volume	3
Issue number	spec.issue
DOIs	https://doi.org/10.1515/advg.2003.2003.s1.245
Publication status	Published - 2003

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title = "Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$",

abstract = "We find all minimal blocking sets of size 3 2 {\dh}p {\th} 1{\TH} in PG{\dh}2; p{\TH} for p <41. There is one new sporadic example, for p ¼ 13. We find all maximal partial spreads of size 45 in PG{\dh}3; 7{\TH}.",

author = "A. Blokhuis and A.E. Brouwer and H.A. Wilbrink",

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T1 - Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$

AU - Blokhuis, A.

AU - Brouwer, A.E.

AU - Wilbrink, H.A.

PY - 2003

Y1 - 2003

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AB - We find all minimal blocking sets of size 3 2 ðp þ 1Þ in PGð2; pÞ for p <41. There is one new sporadic example, for p ¼ 13. We find all maximal partial spreads of size 45 in PGð3; 7Þ.

U2 - 10.1515/advg.2003.2003.s1.245

DO - 10.1515/advg.2003.2003.s1.245

M3 - Article

SN - 1615-715X

VL - 3

SP - S245-S253

JO - Advances in Geometry

JF - Advances in Geometry

IS - spec.issue

ER -

Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$

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