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Two-intersection sets with respect to lines on the Klein quadric

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Abstract
We construct new examples of sets of points on the Klein quadric Q(+) (5, q), q even, having exactly two intersection sizes 0 and a with lines on Q+ (5, q). By the well-known Plucker correspondence, these examples yield new (0, alpha)-geometries embedded in PG(3, q), q even.
Keywords
PARTIAL GEOMETRIES, DESARGUESIAN PLANES, MAXIMAL ARCS, INTERSECTIONS, GRAPHS, ODD

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Citation

Please use this url to cite or link to this publication:

MLA
De Clerck, Frank, et al. “Two-Intersection Sets with Respect to Lines on the Klein Quadric.” BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, vol. 12, no. 5, 2005, pp. 743–50.
APA
De Clerck, F., De Feyter, N., & Durante, N. (2005). Two-intersection sets with respect to lines on the Klein quadric. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 12(5), 743–750.
Chicago author-date
De Clerck, Frank, Nikias De Feyter, and Nicola Durante. 2005. “Two-Intersection Sets with Respect to Lines on the Klein Quadric.” BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 12 (5): 743–50.
Chicago author-date (all authors)
De Clerck, Frank, Nikias De Feyter, and Nicola Durante. 2005. “Two-Intersection Sets with Respect to Lines on the Klein Quadric.” BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 12 (5): 743–750.
Vancouver
1.
De Clerck F, De Feyter N, Durante N. Two-intersection sets with respect to lines on the Klein quadric. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. 2005;12(5):743–50.
IEEE
[1]
F. De Clerck, N. De Feyter, and N. Durante, “Two-intersection sets with respect to lines on the Klein quadric,” BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, vol. 12, no. 5, pp. 743–750, 2005.
@article{345269,
  abstract     = {{We construct new examples of sets of points on the Klein quadric Q(+) (5, q), q even, having exactly two intersection sizes 0 and a with lines on Q+ (5, q). By the well-known Plucker correspondence, these examples yield new (0, alpha)-geometries embedded in PG(3, q), q even.}},
  author       = {{De Clerck, Frank and De Feyter, Nikias and Durante, Nicola}},
  issn         = {{1370-1444}},
  journal      = {{BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN}},
  keywords     = {{PARTIAL GEOMETRIES,DESARGUESIAN PLANES,MAXIMAL ARCS,INTERSECTIONS,GRAPHS,ODD}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{743--750}},
  title        = {{Two-intersection sets with respect to lines on the Klein quadric}},
  url          = {{http://projecteuclid.org/euclid.bbms/1136902612}},
  volume       = {{12}},
  year         = {{2005}},
}

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