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

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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. © 1999 Academic Press.

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Blokhuis, A., Ball, S., Brouwer, A. E., Storme, L., & Szonyi, T. (1999). On the Number of Slopes of the Graph of a Function Defined on a Finite Field. Journal of Combinatorial Theory. Series A, 86(1), 187–196. https://doi.org/10.1006/jcta.1998.2915

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