Complete intersections of cubic and quadric hypersurfaces over \(\mathbb{F}_q(t)\)

Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least \(23\) over \(\mathbb{F}_q(t)\), provided \(\text{cha}(\mathbb{F}_q)>3\). Under the same hypotheses, we also verify weak approximation.