2011/10/07 by Frank De Clerck, De Clerck, Frank, Stefaan De Winter +3
Engineering · Mathematics · #05B25 #51E20 #51E21 #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #graph theory and CDMA systems #math.CO #msc:05B25 #msc:51E20 #msc:51E21
paper · pdf · doi:10.48550/arxiv.1110.1667
arxiv created 2011/10/07 · openalex publication_date 2011/10/07 · arxiv updated 2011/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
N. Hamilton and J. A. Thas 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. 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.