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
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
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