AbstractWe prove a new bound for the minimum distance of geometric Goppa codes that generalizes two previous improved bounds. We include examples of the bound applied to one- and two-point codes over certain Suzuki and Hermitian curves
We give a generalization of the shift bound on the minimum distance for cyclic codes which applies t...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractWe prove a new bound for the minimum distance of geometric Goppa codes that generalizes two ...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
We generalize results of Homma and Kim [J. Pure Appl. Algebra Vol. 162, (2001), pp. 273-290] concern...
We generalize results of Homma and Kim [2001, J. Pure Appl. Algebra 162, 273–290] concerning an impr...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
Abstract: We prove that if there are consecutive gaps at a rational point on a smooth curve defined ...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
The main results of this paper are derived by using only simple Gröbner basis techniques. We presen...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are ...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
In this work, we study geometric Goppa codes and present several results on the so-called generalize...
We give a generalization of the shift bound on the minimum distance for cyclic codes which applies t...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
AbstractWe prove a new bound for the minimum distance of geometric Goppa codes that generalizes two ...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
We generalize results of Homma and Kim [J. Pure Appl. Algebra Vol. 162, (2001), pp. 273-290] concern...
We generalize results of Homma and Kim [2001, J. Pure Appl. Algebra 162, 273–290] concerning an impr...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
Abstract: We prove that if there are consecutive gaps at a rational point on a smooth curve defined ...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
The main results of this paper are derived by using only simple Gröbner basis techniques. We presen...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are ...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
In this work, we study geometric Goppa codes and present several results on the so-called generalize...
We give a generalization of the shift bound on the minimum distance for cyclic codes which applies t...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
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