Characteristic 2 approach to bivariate interpolation problems
Provides theoretical results for bivariate interpolation in characteristic 2, relevant to algebraic geometry and coding theory, but the application is narrow.
The paper characterizes sub-linear systems in characteristic 2 where no curve passes through a general point with multiplicity at least 2^t, and uses this to prove that a specific linear system of plane curves with 10 base points is non-special.
We investigate bivariate interpolation problems in characteristic 2. Given a nonnegative integer $t$, we describe all the sub-linear systems generated by monomials, in which there is no curve passing through a general point with multiplicity at least $2^t$. As an application, we show that a certain linear system of plane curves with 10 base points is non-special.