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

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

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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 ∈ {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.

Projective spaceBlocking setConicQuadricConeSecant lineTangent line

Bart De Bruyn、Puspendu Pradhan、Binod Kumar Sahoo

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Department of Mathematics, Computer Science and Statistics, Krijgslaan 281 (S9), 9000 Gent, Belgium

Department of Mathematics, Indian Institute of Science Education and Research Pune, Dr. Homi Bhabha Road, Pune 411008, India||Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India

School of Mathematical Sciences, National Institute of Science Education and Research Bhubaneswar, An OCC of Homi Bhabha National Institute, Jatni, Odisha 752050, India

2025

10.1007/s10623-024-01559-8

Designs, codes and cryptography

Designs, codes and cryptography

ISSN：0925-1022
年,卷(期)：2025.93(6)