Intersections of the Hermitian Surface with Irreducible Quadrics in Even Characteristic

Abstract

We determine the possible intersection sizes of a Hermitian surface H with an irreducible quadric of PG(3, q 2 ) sharing at least a tangent plane at a common non-singular point when q is even.

Intersection sets, three-character multisets and associated codes

“…Throughout this section q is and odd prime power and 4a q+1 + (b q − b) 2 = 0 for any a ∈ GF(q 2 ) * and b ∈ GF(q 2 ) \ GF(q). Let B(a, b) the affine set of equation (4). We prove the following theorem.…”