✦ LIBER ✦
Computing Weierstrass Semigroups and the Feng–Rao Distance from Singular Plane Models
✍ Scribed by A Campillo; J.I Farrán
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 202 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
✦ Synopsis
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 in"nity 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.