Classification of flocks of the quadratic cone in PG(3,64)

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