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

被引：10

作者：

Aguglia, A

Korchmáros, G

机构：

[1] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

[2] Univ Basilicata, Dipartimento Matemat, I-85100 Potenza, Italy

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2005年 / 13卷 / 04期

关键词：

blocking set; conic in PG(2.q); Baer subplane; 51E21;

D O I：

10.1002/jcd.20042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper [1], all point sets of minimum size in PG(2,q), blocking all external lines to a given irreducible conic 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 C. (c) 2004 Wiley Periodicals, Inc.

引用

页码：292 / 301

页数：10

共 38 条

[1] Minimum size blocking sets of certain line sets related to a conic in PG(2, q)
Patra, Kamal L.
Sahoo, Binod K.
Sahu, Bikramaditya
DISCRETE MATHEMATICS, 2016, 339 (06) : 1716 - 1721
[2] Minimal blocking sets of size q2+2 of Q(4, q), q an odd prime, do not exist
De Beule, J
Metsch, K
FINITE FIELDS AND THEIR APPLICATIONS, 2005, 11 (02) : 305 - 315
[3] Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3,q), q even
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Sahu, Bikramaditya
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (01):
[4] Large blocking sets in PG(2, q2)
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Weiner, Zsuzsa
FINITE FIELDS AND THEIR APPLICATIONS, 2023, 87
[5] Blocking sets of secant and tangent lines with respect to a quadric of PG(n, q)
De Bruyn, Bart
Pradhan, Puspendu
Sahoo, Binod Kumar
DESIGNS CODES AND CRYPTOGRAPHY, 2025,
[6] Blocking sets of tangent and external lines to an elliptic quadric in PG(3,q)
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Proceedings - Mathematical Sciences, 2021, 131
[7] Blocking sets of tangent and external lines to an elliptic quadric in PG(3,q)
De Bruyn, Bart
Pradhan, Puspendu
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
[8] Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3, q)
De Bruyn, Bart
Sahoo, Binod Kumar
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DISCRETE MATHEMATICS, 2018, 341 (10) : 2820 - 2826
[9] Blocking sets of external, tangent and secant lines to a quadratic cone in PG(3, q)
De Bruyn, Bart
Pradhan, Puspendu
Sahu, Bikramaditya
DISCRETE MATHEMATICS, 2021, 344 (06)
[10] Blocking sets in PG(2, qn) from cones of PG(2n, q)
Mazzocca, Francesco
Polverino, Olga
JOURNAL OF ALGEBRAIC COMBINATORICS, 2006, 24 (01) : 61 - 81

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