Caps in PG(n, q), q even, n≥3

L. Storme, T. Szőnyi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Let m′2(3, q) be the largest value of k(k2+1) for which there exists a complete k-cap in PG(3, q), q even. In this paper, the known upper bound on m′2(3, q) is improved. We also describe a number of intervals, for k, for which there does not exist a complete k-cap in PG(3, q), q even. These results are then used to improve the known upper bounds on the number of points of a cap in PG(n, q), q even, n≥4.

Original languageEnglish
Pages (from-to)163-169
Number of pages7
JournalGeometriae Dedicata
Volume45
Issue number2
DOIs
Publication statusPublished - Feb 1993

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Upper bound
Interval
Cap

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Caps in PG(n, q), q even, n≥3. / Storme, L.; Szőnyi, T.

In: Geometriae Dedicata, Vol. 45, No. 2, 02.1993, p. 163-169.

Research output: Contribution to journalArticle

Storme, L. ; Szőnyi, T. / Caps in PG(n, q), q even, n≥3. In: Geometriae Dedicata. 1993 ; Vol. 45, No. 2. pp. 163-169.
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