Codes on fibre products of Artin-Schreier curves
| dc.citation.epage | 143 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 133 | en_US |
| dc.citation.volumeNumber | 11 | en_US |
| dc.contributor.author | Stepanov, S. | en_US |
| dc.contributor.author | Shalalfeh, M. H. | en_US |
| dc.date.accessioned | 2019-02-14T14:09:17Z | |
| dc.date.available | 2019-02-14T14:09:17Z | |
| dc.date.issued | 2001 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | The purpose of this paper is to construct a new family of smooth projective curves over a finite field Fq with many Fq-rational points using fibre products of Artin-Schreier curves. We show that for any curve X in this family the ratiog(X)/Nq(X), where g(X) is the genus and Nq(X) is the number of Fq-rational points, is small enough to get geometric Goppa codes with good parameters. This paper extends the results of Stepanov and Ozbudak concerning the construction of long codes. | en_US |
| dc.identifier.doi | 10.1515/dma.2001.11.2.133 | en_US |
| dc.identifier.eissn | 1569-3929 | |
| dc.identifier.issn | 0924-9265 | |
| dc.identifier.uri | http://hdl.handle.net/11693/49551 | |
| dc.language.iso | English | en_US |
| dc.publisher | Walter de Gruyter GmbH | en_US |
| dc.relation.isversionof | https://doi.org/10.1515/dma.2001.11.2.133 | en_US |
| dc.source.title | Discrete Mathematics and Applications | en_US |
| dc.title | Codes on fibre products of Artin-Schreier curves | en_US |
| dc.type | Article | en_US |
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