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

نویسنده

  • Simeon Ball
چکیده

A proof is presented that shows that the number of directions determined by a function over a finite field GF (q) is either 1, at least (q+3)/2, or between q/s+1 and (q − 1)/(s − 1) for some s where GF (s) is a subfield of GF (q). Moreover the graph of those functions that determine less than half the directions is GF (s)−linear. This completes the unresolved cases s = 2 and s = 3 of the main theorem in [1].

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 70  شماره 

صفحات  -

تاریخ انتشار 1995