Translator Disclaimer
October 2011 A characterization of 42 ovoids with a certain property in PG(3,2)
Koichi INOUE
Hokkaido Math. J. 40(3): 431-447 (October 2011). DOI: 10.14492/hokmj/1319595865

Abstract

In this paper, we characterize 42 ovoids with a certain property in a projective space PG(3,2) described in Yucas [6]. As a corollary, we construct the Steiner 4-wise balanced design S(4,{5,6},17) with 252 blocks which is an extension of the point-plane design A of an affine space AG(4,2). The construction leads to not only the uniqueness of such an extension, but also a (usual) extension of the 2-repeated design 2.A.

Citation

Download Citation

Koichi INOUE. "A characterization of 42 ovoids with a certain property in PG(3,2)." Hokkaido Math. J. 40 (3) 431 - 447, October 2011. https://doi.org/10.14492/hokmj/1319595865

Information

Published: October 2011
First available in Project Euclid: 26 October 2011

zbMATH: 1233.51002
MathSciNet: MR2883500
Digital Object Identifier: 10.14492/hokmj/1319595865

Subjects:
Primary: 05B25, 20B25

Rights: Copyright © 2011 Hokkaido University, Department of Mathematics

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.40 • No. 3 • October 2011
Back to Top