Functional codes arising from quadric intersections with Hermitian varieties

We investigate the functional code Ch(X) introduced by G. Lachaud (1996) [10], in the special case where X is a non-singular Hermitian variety in PG(N,q2) and h=2. In [4], , F.A.B. Edoukou (2007) solved the conjecture of Sørensen (1991) [11] on the minimum distance of this code for a Hermitian variety X in PG(3,q2). In this paper, we will answer the question about the minimum distance in general dimension N, with N