Character sums, algebraic function fields, curves with many rational points and geometric Goppa codes
| buir.advisor | Stepanov, S.A. | |
| dc.contributor.author | Özbudak, Ferruh | |
| dc.date.accessioned | 2016-01-08T20:20:14Z | |
| dc.date.available | 2016-01-08T20:20:14Z | |
| dc.date.issued | 1997 | |
| dc.description | Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 1997. | en_US |
| dc.description | Thesis (Ph.D.) -- Bilkent University, 1997. | en_US |
| dc.description | Includes bibliographical references leaves 57-61. | en_US |
| dc.description.abstract | In this thesis we have found and studied fibre products of hyperelliptic and superelliptic curves with many rational points over finite fields. We have applied Goppa construction to these curves to get “good” linear codes. We have also found a nontrivial connection between configurations of affine lines in the affine plane over finite fields and fibre products of Rummer extensions giving “good” codes over F,2. Moreover we have calculated an important parameter of a class of towers of algebraic function fields over finite fields, which are studied recently. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-01-08T20:20:14Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5) | en |
| dc.description.statementofresponsibility | Özbudak, Ferruh | en_US |
| dc.format.extent | viii, 62 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/18539 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Algebraic curve | en_US |
| dc.subject | algebraic function field | en_US |
| dc.subject | finite field | en_US |
| dc.subject | Goppa code | en_US |
| dc.subject.lcc | QA567 .O93 1997 | en_US |
| dc.subject.lcsh | Curves, Elliptic. | en_US |
| dc.subject.lcsh | Curves, Algebraic. | en_US |
| dc.title | Character sums, algebraic function fields, curves with many rational points and geometric Goppa codes | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Ph.D. (Doctor of Philosophy) |
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