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Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models | | A. Campillo
; J. I. Farran
; | | Date: |
28 Oct 1999 | | Subject: | Algebraic Geometry; Information Theory; Numerical Analysis MSC-class: 14Q05 (Primary) 11T71 (Secondary) | math.AG cs.IT cs.NA math.NA | | Abstract: | 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. | | Source: | arXiv, math.AG/9910155 | | Services: | Forum | Review | PDF | Favorites | |
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