The purpose of this paper is to apply superelliptic curves with a lot of rational points to construct rather good geometric Goppa codes
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
Abstract. The in general hard problem of computing weight distributions of linear codes is considere...
There is a strong interest in superelliptic and p-gonal surfaces. Historically, the surfaces, especi...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
A method of constructing long geometric Goppa codes coming from fiber products of superelliptic curv...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
In this paper, we obtain all rational points (x,y) on three superelliptic curves. DOI: 10.1017/S00...
Orientadores: Paulo Roberto Brumatti, Fernando Eduardo Torres OrihuelaDissertação (mestrado) - Unive...
This monograph presents a comprehensive treatment of recent results on algebraic geometry as they ap...
A class of linear codes with good parameters is constructed in this correspondence. It turns out tha...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
geometrically irreducible) over finite fields with many rational points was renewed after Goppa’s co...
In this work we study basics concepts of the algebraic geometry related to Algebraic Geometric Goppa...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
Ideas from algebraic geometry became useful in coding theory after Goppa’s construction [8]. He had ...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
Abstract. The in general hard problem of computing weight distributions of linear codes is considere...
There is a strong interest in superelliptic and p-gonal surfaces. Historically, the surfaces, especi...
The purpose of this paper is to apply superelliptic curves with a lot of rational points to construc...
A method of constructing long geometric Goppa codes coming from fiber products of superelliptic curv...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
In this paper, we obtain all rational points (x,y) on three superelliptic curves. DOI: 10.1017/S00...
Orientadores: Paulo Roberto Brumatti, Fernando Eduardo Torres OrihuelaDissertação (mestrado) - Unive...
This monograph presents a comprehensive treatment of recent results on algebraic geometry as they ap...
A class of linear codes with good parameters is constructed in this correspondence. It turns out tha...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
geometrically irreducible) over finite fields with many rational points was renewed after Goppa’s co...
In this work we study basics concepts of the algebraic geometry related to Algebraic Geometric Goppa...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
Ideas from algebraic geometry became useful in coding theory after Goppa’s construction [8]. He had ...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
Abstract. The in general hard problem of computing weight distributions of linear codes is considere...
There is a strong interest in superelliptic and p-gonal surfaces. Historically, the surfaces, especi...