Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields

Details Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields Bases for Riemann-Roch spaces of one point divisors on an optimal tower of function fields

2011-06-30

arxiv.org/abs/1106.6335v1

Mathematics

Number Theory

15 pages

Scientific paper

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.

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