AbstractWe investigate the parameters of the algebraic–geometric codes constructed from vector bundles on a projective variety defined over a finite field. In the case of curves we give a method of constructing weakly stable bundles using restriction of vector bundles on algebraic surfaces and illustrate the result by some examples
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
*Partially supported by NATO.We study Ca,b curves and their applications to coding theory. Recently,...
The theory of algebraic-geometric codes has been developed in the beginning of the 80's after an art...
AbstractWe investigate the parameters of the algebraic–geometric codes constructed from vector bundl...
AbstractLet C be a smooth, geometrically connected, projective curve of genus g⩾2 defined over Fq. H...
AbstractWe give a construction of error-correcting codes from Grassmann bundles associated to a vect...
We introduce two types of curves of interest for coding theory purposes: the so-called Castle and we...
AbstractIn this paper we construct some algebraic geometric error-correcting codes on surfaces whose...
AbstractLet X be a smooth projective curve of genus g⩾2 defined over an algebraically closed field k...
Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If...
AbstractFor many codes defined geometrically over Fq (e.g. coming from a finite complete intersectio...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
AbstractWe show how to construct error-correcting codes from flag varieties on a finite field Fq. We...
AbstractIn the present article, we consider Algebraic Geometry codes on some rational surfaces. The ...
Let $\alpha : X \to Y$ be a general degree $r$ primitive map of nonsingular, irreducible, projective...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
*Partially supported by NATO.We study Ca,b curves and their applications to coding theory. Recently,...
The theory of algebraic-geometric codes has been developed in the beginning of the 80's after an art...
AbstractWe investigate the parameters of the algebraic–geometric codes constructed from vector bundl...
AbstractLet C be a smooth, geometrically connected, projective curve of genus g⩾2 defined over Fq. H...
AbstractWe give a construction of error-correcting codes from Grassmann bundles associated to a vect...
We introduce two types of curves of interest for coding theory purposes: the so-called Castle and we...
AbstractIn this paper we construct some algebraic geometric error-correcting codes on surfaces whose...
AbstractLet X be a smooth projective curve of genus g⩾2 defined over an algebraically closed field k...
Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If...
AbstractFor many codes defined geometrically over Fq (e.g. coming from a finite complete intersectio...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
AbstractWe show how to construct error-correcting codes from flag varieties on a finite field Fq. We...
AbstractIn the present article, we consider Algebraic Geometry codes on some rational surfaces. The ...
Let $\alpha : X \to Y$ be a general degree $r$ primitive map of nonsingular, irreducible, projective...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
*Partially supported by NATO.We study Ca,b curves and their applications to coding theory. Recently,...
The theory of algebraic-geometric codes has been developed in the beginning of the 80's after an art...
DOI
Add to ORKG