Blocking sets of certain line sets related to a hyperbolic quadric in PG(3, q)

References

[1] A. Aguglia, M. Giulietti, Blocking sets of certain line sets related to a conic. Des. Codes Cryptogr. 39 (2006), 397–405. MR2216279 Zbl 1172.5130510.1007/s10623-005-6131-9Search in Google Scholar

[2] A. Aguglia, G. Korchmáros, Blocking sets of nonsecant lines to a conic in PG(2, q), q odd. J. Combin. Des. 13 (2005), 292–301. MR2143981 Zbl 1078.5100710.1002/jcd.20042Search in Google Scholar

[3] A. Aguglia, G. Korchmáros, Blocking sets of external lines to a conic in PG(2, q), q odd. Combinatorica26 (2006), 379–394. MR2260844 Zbl 1111.5100710.1007/s00493-006-0021-2Search in Google Scholar

[4] A. Aguglia, G. Korchmáros, A. Siciliano, Minimal covering of all chords of a conic in PG(2, q), q even. Bull. Belg. Math. Soc. Simon Stevin12 (2005), 651–655. MR2241331 Zbl 1142.5100610.36045/bbms/1136902603Search in Google Scholar

[5] P. Biondi, P. M. Lo Re, On blocking sets of external lines to a hyperbolic quadric in PG(3, q), q even. J. Geom. 92 (2009), 23–27. Zbl 1170.5100410.1007/s00022-008-1962-ySearch in Google Scholar

[6] P. Biondi, P. M. Lo Re, L. Storme, On minimum size blocking sets of external lines to a quadric in PG(3, q). Beiträge Algebra Geom. 48 (2007), 209–215. MR2326410 Zbl 1121.5100610.2140/iig.2007.5.1Search in Google Scholar

[7] E. Boros, Z. Füredi, J. Kahn, Maximal intersecting families and affine regular polygons in PG(2, q). J. Combin. Theory Ser. A52 (1989), 1–9. MR1008155 Zbl 0737.0500310.1016/0097-3165(89)90057-5Search in Google Scholar

[8] R. C. Bose, R. C. Burton, A characterization of flat spaces in a finite geometry and the uniqueness of the Hamming and the MacDonald codes. J. Combin. Theory Ser. A1 (1966), 96–104. MR0197215 Zbl 0152.1810610.1016/S0021-9800(66)80007-8Search in Google Scholar

[9] P. Erdős, L. Lovász, Problems and results on 3-chromatic hypergraphs and some related questions. North-Holland 1975. MR0382050 Zbl 0315.05117Search in Google Scholar

[10] J. W. P. Hirschfeld, Finite projective spaces of three dimensions. Oxford Univ. Press 1985. MR840877 Zbl 0574.51001Search in Google Scholar

[11] F. Mazzocca, Blocking sets with respect to special families of lines and nuclei of θ_n-sets in finite n-dimensional projective and affine spaces. In: Proceedings of the First International Conference on Blocking Sets (Giessen, 1989), Mitt. Math. Semin. Giessen201 (1991), 109–117. MR1126310 Zbl 0741.51014Search in Google Scholar

[12] G. E. Moorhouse, Incidence Geometry. Course notes 2017, available at http://ericmoorhouse.org/handouts/Incidence_Geometry.pdfSearch in Google Scholar

[13] K. L. Patra, B. K. Sahoo, B. Sahu, Minimum size blocking sets of certain line sets related to a conic in PG(2, q). Discrete Math. 339 (2016), 1716–1721. MR3477101 Zbl 1338.5100910.1016/j.disc.2016.01.010Search in Google Scholar

[14] S. E. Payne, J. A. Thas, Finite generalized quadrangles. European Mathematical Society, Zürich 2009. MR2508121 Zbl 1247.0504710.4171/066Search in Google Scholar

[15] B. K. Sahoo, B. Sahu, Blocking sets of tangent and external lines to a hyperbolic quadric in PG(3, q), q even. Proc. Indian Acad. Sci. Math. Sci., to appear.Search in Google Scholar

[16] B. K. Sahoo, N. S. N. Sastry, Binary codes of the sympletic generalized quadrangle of even order. Des. Codes Cryptogr. 79 (2016), 163–170.10.1007/s10623-015-0040-3Search in Google Scholar

[17] Z. Weiner, T. Szőnyi, On the stability of sets of even type. Adv. Math. 267 (2014), 381–394. MR3269183 Zbl 1337.5100310.1016/j.aim.2014.09.007Search in Google Scholar