Add to ORKGWe establish an algebraic foundation to complement the improved geometric codes of Feng and Rao. Viewing linear codes as affine variety codes, we utilize the Feng-Rao minimum distance bound to construct codes with relatively large dimensions. We examine higher-dimensional affine hypersurfaces with properties similar to those of Hermitian curves. We determine a Grobner basis for the ideal of the variety of rational points on certain affine Fermat varieties. This result is applied to determine parameters of codes defined from Fermat surfaces
Menurut Teorem Pengkodan Saluran yang dikemukakan oleh Shannan, suatu kod sepatutnya mempunyai panja...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
International audienceIn the present article, we consider Algebraic Geometry codes on some rational ...
Put $A={\bf F}\sb{q}\lbrack x\sb1,\...,x\sb{s}\rbrack,$ and let I be an ideal of A. Let $P\sb1,\...,...
Algebraic geometric codes (or AG codes) provide a way to correct errors that occur during the trans...
AbstractAlgebraic geometric codes (or AG codes) provide a way to correct errors that occur during th...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
When information is transmitted, errors are likely to occur. Coding theory examines effi cient ways ...
We prove that elements of the Weierstrass gap set of a pair of points may be used to define a geomet...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
AbstractIn this paper we use intersection theory to develop methods for obtaining lower bounds on th...
A linear [n, k]-code C is a k-dimensional subspace of V (n, q), where V (n, q) denotes the n-dimensi...
AbstractWe study the functional codes Ch(X) defined by Lachaud in [G. Lachaud, Number of points of p...
Menurut Teorem Pengkodan Saluran yang dikemukakan oleh Shannan, suatu kod sepatutnya mempunyai panja...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
International audienceIn the present article, we consider Algebraic Geometry codes on some rational ...
Put $A={\bf F}\sb{q}\lbrack x\sb1,\...,x\sb{s}\rbrack,$ and let I be an ideal of A. Let $P\sb1,\...,...
Algebraic geometric codes (or AG codes) provide a way to correct errors that occur during the trans...
AbstractAlgebraic geometric codes (or AG codes) provide a way to correct errors that occur during th...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
The main goal of this work is to improve algebraic geometric/number theoretic constructions of error...
When information is transmitted, errors are likely to occur. Coding theory examines effi cient ways ...
We prove that elements of the Weierstrass gap set of a pair of points may be used to define a geomet...
We construct linear codes from scrolls over curves of high genus and study the higher support weight...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
AbstractIn this paper we use intersection theory to develop methods for obtaining lower bounds on th...
A linear [n, k]-code C is a k-dimensional subspace of V (n, q), where V (n, q) denotes the n-dimensi...
AbstractWe study the functional codes Ch(X) defined by Lachaud in [G. Lachaud, Number of points of p...
Menurut Teorem Pengkodan Saluran yang dikemukakan oleh Shannan, suatu kod sepatutnya mempunyai panja...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
International audienceIn the present article, we consider Algebraic Geometry codes on some rational ...