Add to ORKGIdeas from algebraic geometry became useful in coding theory after Goppa’s construction [8]. He had the beautiful idea of associating to a curve X defined over Fq, the finite field with q elements, a code C. This code, called Algebraic-Geometric (AG) code, is constructed from two divisors D and G on X, where one of them, say D, is the sum of
When information is transmitted, errors are likely to occur. Coding theory examines effi cient ways ...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves...
The coding theory plays an important role in improving the reliability in information and communicat...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
We discuss some recent constructions of codes from algebraic curves due to Xing, Niederreiter, and L...
This paper gives an example-driven overview of algebraic-geometry codes, with attention confined to ...
Algebraic geometry is often employed to encode and decode signals transmitted in communication syste...
Since the proof in 1982, by Tsfasman Vladut and Zink of the existence of algebraic-geometric (AG) co...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
This note completes a talk given at the conference Curves over Finite Fields: past, present and futu...
Abstract. Code-based cryptography is an interesting alternative to clas-sic number-theory PKC since ...
When information is transmitted, errors are likely to occur. Coding theory examines effi cient ways ...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves...
The coding theory plays an important role in improving the reliability in information and communicat...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
We discuss some recent constructions of codes from algebraic curves due to Xing, Niederreiter, and L...
This paper gives an example-driven overview of algebraic-geometry codes, with attention confined to ...
Algebraic geometry is often employed to encode and decode signals transmitted in communication syste...
Since the proof in 1982, by Tsfasman Vladut and Zink of the existence of algebraic-geometric (AG) co...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
This note completes a talk given at the conference Curves over Finite Fields: past, present and futu...
Abstract. Code-based cryptography is an interesting alternative to clas-sic number-theory PKC since ...
When information is transmitted, errors are likely to occur. Coding theory examines effi cient ways ...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...