Classification of flocks of the quadratic cone over fields of order at most 29

Maska Law, Tim Penttila · Advances in Geometry · 2003

We complete the classification of flocks of the quadratic cone in PG(3, q) for q < 29, by showing by computer that there are exactly 8 flocks of the quadratic cone in PG(3,19), 18 flocks of the quadratic cone in PG(3,23), 12 flocks of the quadratic cone in PG(3,25), 14 flocks of the quadratic cone in PG(3,27), and 28 flocks of the quadratic cone in PG(3,29), up to equivalence.

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