Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
| dc.contributor.author | Ozbudak, Ferruh | |
| dc.contributor.author | Temur, Burcu Gulmez | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:27:09Z | |
| dc.date.available | 2024-07-05T14:27:09Z | |
| dc.date.issued | 2014 | |
| dc.description | /0000-0002-1694-9283; | en_US |
| dc.description.abstract | We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011). | en_US |
| dc.description.sponsorship | TUBITAK [TBAG-109T672] | en_US |
| dc.description.sponsorship | We would like to thank the anonymous reviewers for their detailed and useful suggestions which improved the paper. The authors were partially supported by TUBITAK under Grant No. TBAG-109T672. | en_US |
| dc.identifier.doi | 10.1007/s10623-012-9706-2 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-84894077721 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-012-9706-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/228 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Designs, Codes and Cryptography | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Curves with many points over finite fields | en_US |
| dc.subject | Kummer covers | en_US |
| dc.subject | Fibre products | en_US |
| dc.title | Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | /0000-0002-1694-9283 | |
| gdc.author.institutional | Gülmez Temür, Burcu | |
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| gdc.author.wosid | /AAZ-6893-2020 | |
| gdc.author.wosid | Temür, Burcu Gülmez/ABF-4807-2021 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ozbudak, Ferruh] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey; [Ozbudak, Ferruh] Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey; [Temur, Burcu Gulmez] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 404 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 385 | en_US |
| gdc.description.volume | 70 | en_US |
| gdc.description.wosquality | Q2 | |
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