  Flocks are an important topic in the field of finite geometry, with many
relations with other objects of interest. This paper is a contribution to the
difficult problem of classifying flocks up to projective equivalence. We
complete the classification of flocks of the quadratic cone in PG(3,q) for q <=
71, by showing by computer that there are exactly three flocks of the quadratic
cone in PG(3,64), up to equivalence. The three flocks had previously been
discovered, and they are the linear flock, the Subiaco flock and the Adelaide
flock. The classification proceeds via the connection between flocks and herds
of ovals in PG(2,q), q even, and uses the prior classification of hyperovals in
PG(2,64).
