On a generalization of Rédei's theorem

Combinatorica

Volumn 23, Issue 4, 2003, Pages 585-598

  Gács, András ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345833387     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-003-0035-y     Document Type: Article

References (14)

1. L. RÉDEI: Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary polynomials over finite fields, North Holland, Amsterdam (1973)).
2. L. RÉDEI: Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary polynomials over finite fields, North Holland, Amsterdam (1973)).
3. A. BLOKHUIS, A. E. BROUWER and T. SZONYI: The number of directions determined by a function f on a finite field, J. Comb. Theory, Ser. A. 70 (1995), 349-353.
4. S. BALL, A. BLOKHUIS, A. BROUWER, L. STORME and T. SZONYI: On the number of directions determined by a polynomial, J. Combin. Theory, Ser. A. 86 (1999), 187-196.
5. L. LOVÁSZ and A. SCHRIJVER: Remarks on a theorem of Rédei, Studia Scient. Math. Hungar. 16 (1981), 449-454.
6. A. GÁCS: On the number of directions determined by a point set in AG(2,p), Disc. Math. 208/209 (1999), 299-309.
7. A. GÁCS: On the size of the smallest non-classical blocking set of Rédei type in PG(2,p), p prime, J. of Combin. Theory, Ser. A. 89 (2000), 43-54.
8. T. SZONYI: Combinatorial problems for Abelian groups arising from geometry, Periodica Polytechnica 19 (1991), 91-100.
9. P. NIEDERREITER and K. H. ROBINSON: Complete mappings over finite fields, J. of Australian Math. Soc., Ser. A. 33 (1982), 197-212.
10. A. BIRÓ: On polynomials over prime fields taking only two values on the multiplicative group, Finite Fields and Their Appl. 6 (2000), 302-308.
11. O. POLVERINO, T. SZONYI and Zs. WEINER: Blocking sets in Galois planes of square order, Acta Sci. Math. (Szeged) 65 (1999), 773-784.
12. P. SZIKLAI: Directions in AG(3,p) and their applications, submitted to Note di Matematica, Lecce.
13. L. STORME and P. SZIKLAI: Linear pointsets and Rédei type k-blocking sets in PG(n,q), J. Alg. Comb. 14 (2001), 221-228.
14. S. BALL: The number of directions determined by a function over a finite field, J. Comb. Theory, Ser. A. 104 (2003), 341-350.