On the Maximal Cliques of the Quadratic Forms Graph in Even Characteristic

Let V denote an n-dimensional vector space over the field of q elements. Associated with V is a graph Quad(n, q), the vertices of which are the quadratic forms on V, with two forms adjacent if the rank of their difference is 1 or 2. The cliques in Quad(n, q) of size at least q2 + q + 3 were determined in [2]. The cliques of size at least q + 4 were characterized in [3] for q odd, q ⩾ 5. In this paper, we address the even characteristic case and provide a classification of all cliques of size at least max{q + 4, 9)