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
International audienceWe improve previously known lower bounds for the minimum distance of certain t...
AbstractIn this paper we investigate three classes of linear codes arising from elliptic curves and ...
AbstractGiven a divisor A of a function field, there is a unique divisor of minimum degree that defi...
AbstractWe prove a new bound for the minimum distance of geometric Goppa codes that generalizes two ...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
Abstract: We prove that if there are consecutive gaps at a rational point on a smooth curve defined ...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
We prove that elements of the Weierstrass gap set of a pair of points may be used to define a geomet...
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...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
AbstractThe order bound gives an in general very good lower bound for the minimum distance of one-po...
International audienceWe improve previously known lower bounds for the minimum distance of certain t...
AbstractIn this paper we investigate three classes of linear codes arising from elliptic curves and ...
AbstractGiven a divisor A of a function field, there is a unique divisor of minimum degree that defi...
AbstractWe prove a new bound for the minimum distance of geometric Goppa codes that generalizes two ...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
AbstractVarious methods have been used to obtain improvements of the Goppa lower bound for the minim...
Abstract: We prove that if there are consecutive gaps at a rational point on a smooth curve defined ...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
AbstractWe prove that if there are consecutive gaps at a rational point on a smooth curve defined ov...
We prove that elements of the Weierstrass gap set of a pair of points may be used to define a geomet...
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...
We show that many Goppa codes from algebraic geometry are optimal. Many of these codes attain the Gr...
AbstractThe order bound gives an in general very good lower bound for the minimum distance of one-po...
International audienceWe improve previously known lower bounds for the minimum distance of certain t...
AbstractIn this paper we investigate three classes of linear codes arising from elliptic curves and ...
AbstractGiven a divisor A of a function field, there is a unique divisor of minimum degree that defi...
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