ABSTRACT
Let S be a spread in PG(3, q). Let V4 denote the associated 4-dimensional vector space over a field K isomorphic to GF (q). Choose any three components and choose bases so that V4 is represented as the set of vectors (x1, x2, y1, y2); xi, yi ∈ K, and for x = (x1, x2), y = (y1, y2) then the spread has the following representation
x = 0, y = x
[ g(t, u) f(t, u) t u
] ; t, u ∈ K.
