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

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.

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Bibliographic Details
Published inJournal of combinatorial theory. Series A Vol. 86; no. 1; pp. 187 - 196
Main Authors Blokhuis, A., Ball, S., Brouwer, A.E., Storme, L., Szőnyi, T.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.1999
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Summary: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.
ISSN:0097-3165
1096-0899
DOI:10.1006/jcta.1998.2915