On the number of slopes of the graph of a function defined on a finite field

A. Blokhuis; S.M. Ball; A.E. Brouwer; L. Storme; T. Szönyi

doi:10.1006/jcta.1998.2915

On the number of slopes of the graph of a function defined on a finite field

A. Blokhuis
, S.M. Ball
, A.E. Brouwer
, L. Storme
, T. Szönyi

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

95 Citations (Scopus)

Abstract

Given a set U of size q in an affine plane of order q, we determine the possibilities for the number of directions of secants of U, and in many cases characterize the sets U with given number of secant directions.

Original language	English
Pages (from-to)	187-196
Number of pages	10
Journal	Journal of Combinatorial Theory, Series A
Volume	86
Issue number	1
DOIs	https://doi.org/10.1006/jcta.1998.2915
Publication status	Published - 1999

Access to Document

10.1006/jcta.1998.2915

Cite this

@article{1c926052ce94406d9b8bb6c7d212effd,

title = "On the number of slopes of the graph of a function defined on a finite field",

abstract = "Given a set U of size q in an affine plane of order q, we determine the possibilities for the number of directions of secants of U, and in many cases characterize the sets U with given number of secant directions.",

author = "A. Blokhuis and S.M. Ball and A.E. Brouwer and L. Storme and T. Sz{\"o}nyi",

year = "1999",

doi = "10.1006/jcta.1998.2915",

language = "English",

volume = "86",

pages = "187--196",

journal = "Journal of Combinatorial Theory, Series A",

issn = "0097-3165",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - On the number of slopes of the graph of a function defined on a finite field

AU - Blokhuis, A.

AU - Ball, S.M.

AU - Brouwer, A.E.

AU - Storme, L.

AU - Szönyi, T.

PY - 1999

Y1 - 1999

N2 - Given a set U of size q in an affine plane of order q, we determine the possibilities for the number of directions of secants of U, and in many cases characterize the sets U with given number of secant directions.

AB - Given a set U of size q in an affine plane of order q, we determine the possibilities for the number of directions of secants of U, and in many cases characterize the sets U with given number of secant directions.

U2 - 10.1006/jcta.1998.2915

DO - 10.1006/jcta.1998.2915

M3 - Article

SN - 0097-3165

VL - 86

SP - 187

EP - 196

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 1

ER -

On the number of slopes of the graph of a function defined on a finite field

Abstract

Access to Document

Fingerprint

Cite this