18 citations · 38 across the 10 of their papers we have counts for
5 papers · 1 filter
On the parameters of Algebraic Geometry codes related to Arf semigroups
A. Campillo, J. I. Farran, C. Munuera
In this paper we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic geometry codes, when the Weierstrass semigroup at the point Q is an Arf semigr…
Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
A. Campillo, J. I. Farran
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 si…
Symbolic Hamburger-Noether expressions of plane curves and construction of AG codes
A. Campillo, J. I. Farran
We present an algorithm to compute bases for the spaces L(G), provided G is a rational divisor over a non-singular absolutely irreducible algebraic curve, and also another algorith…
Decoding Algebraic Geometry codes by a key equation
J. I. Farran
A new effective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma…
Rational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields
J. I. Farran
The number A(q) shows the asymptotic behaviour of the quotient of the number of rational points over the genus of non-singular absolutely irreducible curves over a finite field Fq.…