The number of directions determined by a function over a finite field

Journal of Combinatorial Theory. Series A

Volumn 104, Issue 2, 2003, Pages 341-350

  Ball, Simeon ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Blocking sets; Lacunary polynomials; Permutation polynomials

Indexed keywords

EID: 0346273074     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2003.09.006     Document Type: Article

References (7)

1. A. Blokhuis, S. Ball, A.E. Brouwer, L. Storme, T. Szonyi, On the number of slopes of the graph of a function defined over a finite field, J. Combin. Theory Ser. A 86 (1999) 187-196.
2. A. Blokhuis, A.E. Brouwer, T. Szonyi, The number of directions determined by a function f on a finite field, J. Combin. Theory Ser. A 70 (1995) 349-353.
3. R.J. Evans, J. Greene, H. Niederreiter, Linearized polynomials and permutation polynomials of finite fields, Michigan Math. J. 39 (1992) 405-413.
4. A. Gács, L. Lovász, T. Szonyi, On a generalization of Rédei's theorem, Combinatorica 23 (2003), to appear.
5. L. Lovász, A. Schrijver, Remarks on a theorem of Rédei, Studia Scient. Math. Hungar. 16 (1981) 449-454.
6. O. Polverino, T. Szonyi, Z. Weiner, Blocking sets in Galois planes of square order, Acta Sci. Math. (Szeged) 65 (1999) 773-784.
7. L. Rédei, Lückenhafte Polynome über endlichen Körpen, Birkhäuser-Verlag, Basel, 1970. (English translation: Lacunary Polynomials over finite fields, North-Holland, Amsterdam, 1973.)