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Classification of flocks of the quadratic cone over fields of order at most 29. (English) Zbl 1038.51011
The paper under review contains the complete classification of flocks of the quadratic cone in \(PG(3,q)\), \(q\leq 29\). Using a computer the authors show that there are \(8\) flocks of the quadratic cone in \(PG(3,19)\), \(18\) flocks in \(PG(3,23)\), \(12\) flocks in \(PG(3,25)\), \(14\) flocks in \(PG(3,27)\) and \(28\) flocks in \(PG(3,29)\). These numbers are meant up to equivalence.

MSC:
51E21 Blocking sets, ovals, \(k\)-arcs
05B25 Combinatorial aspects of finite geometries
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