Add to ORKGA method of constructing long geometric Goppa codes coming from fiber products of superelliptic curves is presented. A family of smooth projective curves with a lot of Fq-rational points are needed to produce a family of asymptotically good geometric Goppa codes. The genus in every such family is considerably less than the number of rational points, so the corresponding geometric Goppa codes have rather good parameters. Examples of such families are provided by modular curves, by Drinfeld modular curves, and by Artin-Schreier coverings of the projective line
AbstractThe purpose of this paper is to construct fairly long geometric Goppa codes overFqwith rathe...
AbstractWe started on a systematic investigation of the Weierstrass pairs on a smooth curve, in our ...
In 2002, van der Geer and van der Vlugt gave explicit equations for an asymptotically good tower of ...
A method of constructing long geometric Goppa codes coming from fiber products of superelliptic curv...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
AbstractParameters and generator matrices are given for the codes obtained by applying Goppa's algeb...
We consider a class of codes defined by Goppa’s algebraic-geometric construction on Fermat curves. A...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
AbstractWe construct codes generated via the recent theory of V.D. Goppa, using elliptic curves over...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Se definen nuevos códigos convolucionales (MDS) generalizando los códigos Goppa.A new kind of Convo...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
AbstractThe purpose of this paper is to construct fairly long geometric Goppa codes overFqwith rathe...
AbstractWe started on a systematic investigation of the Weierstrass pairs on a smooth curve, in our ...
In 2002, van der Geer and van der Vlugt gave explicit equations for an asymptotically good tower of ...
A method of constructing long geometric Goppa codes coming from fiber products of superelliptic curv...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
AbstractParameters and generator matrices are given for the codes obtained by applying Goppa's algeb...
We consider a class of codes defined by Goppa’s algebraic-geometric construction on Fermat curves. A...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
AbstractWe construct codes generated via the recent theory of V.D. Goppa, using elliptic curves over...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
Se definen nuevos códigos convolucionales (MDS) generalizando los códigos Goppa.A new kind of Convo...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
AbstractThe purpose of this paper is to construct fairly long geometric Goppa codes overFqwith rathe...
AbstractWe started on a systematic investigation of the Weierstrass pairs on a smooth curve, in our ...
In 2002, van der Geer and van der Vlugt gave explicit equations for an asymptotically good tower of ...