On the Hermitian Hulls of Two-Point Algebraic Geometry Codes
Lin Sok, Martianus Frederic Ezerman, San Ling · 2024
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$k-2$, from some algebraic plane curves.