Bases for Riemann-Roch Spaces of One-Point Divisors on an Optimal Tower of Function Fields
For applications in algebraic geometric codes, an explicit description of bases of Riemann-Roch spaces of divisors on function fields over finite fields is needed. We give an algorithm to compute such bases for one-point divisors, and Weierstrass semigroups over an optimal tower of function fields. We also explicitly compute Weierstrass semigroups till level eight.
riemann-roch spaces tower of function fields algebraic geometric codes weierstrass semigroup