The Known Maximal Partial Ovoids of Size math formula of math formula


  • The second author is a postdoctoral research fellow of the Research Foundation Flanders – Belgium (FWO).


We present a description of maximal partial ovoids of size math formula of the parabolic quadric math formula as sharply transitive subsets of math formula and show their connection with spread sets. This representation leads to an elegant explicit description of all known examples. We also give an alternative representation of these examples that are related to root systems. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 21: 89–100, 2013