On the Number of Slopes of the Graph of a Function Defined on a Finite Field

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme, T. Szonyi

Research output: Contribution to journalArticle

62 Citations (Scopus)

Abstract

Given a setUof sizeqin an affine plane of orderq, we determine the possibilities for the number of directions of secants ofU, and in many cases characterize the setsUwith given number of secant directions.

Original languageEnglish
Pages (from-to)187-196
Number of pages10
JournalJournal of Combinatorial Theory. Series A
Volume86
Issue number1
DOIs
Publication statusPublished - Apr 1 1999

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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