Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models

Details Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models

1999-10-28

arxiv.org/abs/math/9910155v1

Mathematics

Algebraic Geometry

22 pages, to appear in "Finite Fields and their Applications"

Scientific paper

We present an algorithm to compute the Weierstrass semigroup at a point P together with functions for each value in the semigroup, provided P is the only branch at infinity of a singular plane model for the curve. As a byproduct, the method also provides us with a basis for the spaces L(mP) and the computation of the Feng-Rao distance for the corresponding array of geometric Goppa codes. A general computation of the Feng-Rao distance is also obtained. Everything can be applied to the decoding problem by using the majority scheme of Feng and Rao.

Affiliated with

Also associated with

No associations

Rating

Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609120