On the Hermitian Hulls of Two-Point Algebraic Geometry Codes

We study the Hermitian hulls of two-point algebraic geometry codes. Under specific conditions on the Weil differential form associated with the Hermitian dual code, we explicitly determine the hull dimension. We construct k-dimensional linear codes, whose Hermitian hulls have dimension <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$k-2$</tex>, from some algebraic plane curves.