A class of linear codes with good parameters is constructed in this correspondence. It turns out that linear codes of this class are subcodes of the subfield subcodes of Goppa's geometry codes. In particular, we find 61 improvements on Brouwer's table based on our codes.Accepted versio
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
The coding theory plays an important role in improving the reliability in information and communicat...
Error control codes are widely used to increase the reliability of transmis-sion of information over...
A class of linear codes with good parameters is constructed in this correspondence. It turns out tha...
A construction of linear codes with good parameters is given. Based on Brouwer’s table [1], more th...
Many new binary linear codes (compared with Brouwer's (2000) table) are found from a construction ba...
We discuss some recent constructions of codes from algebraic curves due to Xing, Niederreiter, and L...
In the present paper, we generalize the ideas of code constructions from our previous papers . It tu...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
This paper gives an example-driven overview of algebraic-geometry codes, with attention confined to ...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
We show that the concept of "generalized algebraic geometry codes" which was recently introduced by ...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
The coding theory plays an important role in improving the reliability in information and communicat...
Error control codes are widely used to increase the reliability of transmis-sion of information over...
A class of linear codes with good parameters is constructed in this correspondence. It turns out tha...
A construction of linear codes with good parameters is given. Based on Brouwer’s table [1], more th...
Many new binary linear codes (compared with Brouwer's (2000) table) are found from a construction ba...
We discuss some recent constructions of codes from algebraic curves due to Xing, Niederreiter, and L...
In the present paper, we generalize the ideas of code constructions from our previous papers . It tu...
In 1981 V.D. Goppa [9] used the evaluation of rational functions on algebraic curves to define a ne...
This paper gives an example-driven overview of algebraic-geometry codes, with attention confined to ...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
Channel coding is the branch of Information Theory which studies the noise that can occur in data tr...
We show that the concept of "generalized algebraic geometry codes" which was recently introduced by ...
AbstractThe main results of this paper are derived by using only simple Gröbner basis techniques. We...
For a given algebraic variety $V$ defined over a finite field and a very ample divisor $D$ on $V$, w...
In this work, we study geometric algebraic codes (AG codes), which are linear codes built on algebr...
The coding theory plays an important role in improving the reliability in information and communicat...
Error control codes are widely used to increase the reliability of transmis-sion of information over...
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