Two Remarks on Blocking Sets and Nuclei in Planes of Prime Order

Designs, Codes, and Cryptography

Volumn 10, Issue 1, 1997, Pages 29-39

  Gács, András ^a   Sziklai, Péter ^a   Szonyi, Tamás ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Blocking set; Nucleus; Polynomials

Indexed keywords

EID: 0041477429     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008236202741     Document Type: Article

References (15)

1. A. Blokhuis, Characterization of seminuclear sets in a finite projective plane, J. of Geometry, Vol. 40 (1991) pp. 15-19.
2. A. Blokhuis, On the size of a blocking set in PG(2, p), Combinatorica, Vol. 14 (1994) pp. 111-114.
3. A. Blokhuis, On nuclei and affine blocking sets, J. Comb. Theory A, Vol. 67 (1994) pp. 273-275.
4. A. Blokhuis, Blocking sets in desarguesian planes, Combinatorics: Paul Erdos is Eighty, Vol. 2, János Bolyai Mathematical Society, Budapest (1996), pp. 133-155.
5. A. Blokhuis and H. A. Wilbrink, A characterization of exterior lines of certain sets of points in PG(2, q), Geom. Dedicata, Vol. 23 (1987) pp. 253-254.
6. A. Blokhuis, R. Pellikaan and T. Szonyi, Blocking sets of almost Rédei type, to appear in J. Comb. Theory A.
7. A. A. Bruen, Baer subplanes and blocking sets, Bull. Amer. Math. Soc., Vol. 76 (1970) pp. 342-344.
8. A. A. Bruen, Nuclei of sets of q + 1 points in PG(2, q) and blocking sets of Rédei type, J. Comb. Theory A, Vol. 55 (1990) pp. 130-132.
9. J. W. P. Hirschfeld, Projective Geometries over Finite Fields, Oxford University Press, Oxford (1979).
10. L. Lovász and A. Schrijver, Remarks on a theorem of Rédei, Studia Scient. Math. Hungar., Vol. 16 (1981) pp. 449-454.
11. K. Metsch, Linear spaces with few lines, Springer Lecture Notes in Math., (1991) p. 1490.
12. L. Rédei, Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary Polynomials over Finite Fields, North Holland, Amsterdam, 1973).
13. L. Rédei, Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary Polynomials over Finite Fields, North Holland, Amsterdam, 1973).
14. P. Sziklai, Nuclei of Point Sets in PG(n, q), to appear in Discr. Math.
15. T. Szonyi, On the number of directions determined by a set of points in an affine Galois plane, J. Comb. Theory A, vol. 74 (1996), pp. 141-146.