An Exhaustive Computer Search for Finding New Curves With Many Points Among Fibre Products of Two Kummer Covers Over $\\bbb{f}_5$ and $\\bbb{f}_7$

dc.contributor.author Özbudak, Ferruh
dc.contributor.author Temür, Burcu Gülmez
dc.contributor.author Yayla, Oğuz
dc.contributor.other Mathematics
dc.date.accessioned 2024-10-06T11:31:19Z
dc.date.available 2024-10-06T11:31:19Z
dc.date.issued 2013
dc.department Atılım University en_US
dc.department-temp ORTA DOĞU TEKNİK ÜNİVERSİTESİ,ATILIM ÜNİVERSİTESİ,ORTA DOĞU TEKNİK ÜNİVERSİTESİ en_US
dc.description.abstract In this paper we make an exhaustive computer search for finding new curves with many points among fibre products of 2 Kummer covers of the projective line over F5 and F7 . At the end of the search, we have 12 records and 6 new entries for the current Table of Curves with Many Points. In particular, we observe that the fibre product $y^3_1$ = $\\frac {5(x+2)(x +5)} {x}$, $y^3_2$ $\\frac {3x^2(x +5)} {x + 3}$ over F7 has genus 7 with 36 rational points. As this coincides with the Ihara bound, we conclude that the maximum number N7 (7) of F7 -rational points among all curves of genus 7 is 36. Our exhaustive search has been possible because of the methods given in the recent work by Özbudak and Temür (2012) for determining the number of rational points of such curves. en_US
dc.identifier.citationcount 0
dc.identifier.endpage 913 en_US
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.issue 6 en_US
dc.identifier.scopusquality Q2
dc.identifier.startpage 908 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14411/9736
dc.identifier.volume 37 en_US
dc.identifier.wosquality Q2
dc.institutionauthor Gülmez Temür, Burcu
dc.language.iso en en_US
dc.relation.ispartof Turkish Journal of Mathematics en_US
dc.relation.publicationcategory Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Matematik en_US
dc.title An Exhaustive Computer Search for Finding New Curves With Many Points Among Fibre Products of Two Kummer Covers Over $\\bbb{f}_5$ and $\\bbb{f}_7$ en_US
dc.type Article en_US
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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