Partial flocks of the quadratic cone yielding Mathon maximal arcs
Document Type
Article
Publication Date
8-28-2012
Abstract
In [6] Hamilton and Thas (2006) describe a link between maximal arcs of Mathon type and partial flocks of the quadratic cone. This link is of a rather algebraic nature. In this paper we establish a geometric connection between these two structures. We also define a composition on the flock planes and use this to work out an analogue of the synthetic version of Mathon's theorem (see De Clerck et al. (2011) [3]). Finally, we show how it is possible to construct a maximal arc of Mathon type of degree 2d, containing a Denniston arc of degree d provided that there is a solution to a certain given system of trace conditions. © 2012 Elsevier B.V. All rights reserved.
Publication Title
Discrete Mathematics
Recommended Citation
De Clerck, F.,
De Winter, S.,
&
Maes, T.
(2012).
Partial flocks of the quadratic cone yielding Mathon maximal arcs.
Discrete Mathematics,
312(16), 2421-2428.
http://doi.org/10.1016/j.disc.2012.04.028
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6289