Blocking sets of secant and tangent lines with respect to a quadric of PG(n, q)

被引：0

作者：

De Bruyn, Bart ^{[1
]}

Pradhan, Puspendu ^{[2
,3
]}

Sahoo, Binod Kumar ^{[4
]}

机构：

[1] Dept Math Comp Sci & Stat, Krijgslaan 281 S9, B-9000 Ghent, Belgium

[2] Indian Inst Sci Educ & Res Pune, Dept Math, Dr Homi Bhabha Rd, Pune 411008, India

[3] Indian Inst Technol, Dept Math, Mumbai 400076, India

[4] Natl Inst Sci Educ & Res Bhubaneswar, Sch Math Sci, Jatni 752050, Odisha, India

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2025年

基金：

新加坡国家研究基金会;

关键词：

Projective space; Blocking set; Conic; Quadric; Cone; Secant line; Tangent line; EXTERNAL LINES; PG(3; Q); PG(2;

D O I：

10.1007/s10623-024-01559-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

For a set L of lines of PG(n, q), a set X of points of PG(n, q) is called an L-blocking set if each line of L contains at least one point of X. Consider a possibly singular quadric Q of PG(n, q) and denote by S (respectively, T) the set of all lines of PG(n, q) meeting Q in 2 (respectively, 1 or q + 1) points. For L is an element of{S, T. S}, we find the minimal cardinality of an L-blocking set of PG(n, q) and determine all L-blocking sets of that minimal cardinality.

引用

页数：22

共 25 条

[21] Minimum size blocking sets of certain line sets related to a conic in PG(2, q)
Patra, Kamal L.
Sahoo, Binod K.
Sahu, Bikramaditya
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[23] Blocking sets of certain line sets related to a hyperbolic quadric in PG(3, q)
Sahoo, Binod Kumar
Sahu, Bikramaditya
[J]. ADVANCES IN GEOMETRY, 2019, 19 (04) : 477 - 486
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