AbstractLet C be a smooth, geometrically connected, projective curve of genus g⩾2 defined over Fq. Here we follow a recent paper of Savin and study the parameters (size, dimension, minimal distance) of algebraic codes constructed using vector bundles E on C. We need to construct vector bundles defined over Fq and with certain numerical invariants (degree, rank h0(C,E), order of 1-stability)
For a vector bundle E on a model of a smooth projective curve over a p-adic number field a p-adic re...
Abstract. Let X be a geometrically irreducible smooth projective curve defined over a field k, and l...
LetX be a smooth projective curve of genus g ≥ 4. Here we show the existence for several numerical i...
AbstractWe investigate the parameters of the algebraic–geometric codes constructed from vector bundl...
AbstractWe give a construction of error-correcting codes from Grassmann bundles associated to a vect...
Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists ...
AbstractFor many codes defined geometrically over Fq (e.g. coming from a finite complete intersectio...
Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
AbstractLet X be a smooth projective curve defined over an algebraically closed field of positive ch...
AbstractLet X be a smooth projective curve of genus g⩾2 defined over an algebraically closed field k...
Abstract. Let C be a smooth curve of genus g ≥ 2. Here we study stable vector bundles E on C such th...
International audienceLet X be a smooth projective curve of genus g >1 defined over an algebraically...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
Let X be a smooth projective curve. Here we give condi-tions on r, d, v (essentially, existence of s...
For a vector bundle E on a model of a smooth projective curve over a p-adic number field a p-adic re...
Abstract. Let X be a geometrically irreducible smooth projective curve defined over a field k, and l...
LetX be a smooth projective curve of genus g ≥ 4. Here we show the existence for several numerical i...
AbstractWe investigate the parameters of the algebraic–geometric codes constructed from vector bundl...
AbstractWe give a construction of error-correcting codes from Grassmann bundles associated to a vect...
Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists ...
AbstractFor many codes defined geometrically over Fq (e.g. coming from a finite complete intersectio...
Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If...
AbstractIt is known that a vector bundle E on a smooth projective curve Y defined over an algebraica...
AbstractLet X be a smooth projective curve defined over an algebraically closed field of positive ch...
AbstractLet X be a smooth projective curve of genus g⩾2 defined over an algebraically closed field k...
Abstract. Let C be a smooth curve of genus g ≥ 2. Here we study stable vector bundles E on C such th...
International audienceLet X be a smooth projective curve of genus g >1 defined over an algebraically...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
Let X be a smooth projective curve. Here we give condi-tions on r, d, v (essentially, existence of s...
For a vector bundle E on a model of a smooth projective curve over a p-adic number field a p-adic re...
Abstract. Let X be a geometrically irreducible smooth projective curve defined over a field k, and l...
LetX be a smooth projective curve of genus g ≥ 4. Here we show the existence for several numerical i...
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