The group structure of bachet elliptic curves over finite fields f-p
dc.contributor.author | İkikardeş, Nazlı Yıldız | |
dc.contributor.buuauthor | Demirci, Musa | |
dc.contributor.buuauthor | Soydan, Gökhan | |
dc.contributor.buuauthor | Cangül, İsmail Naci | |
dc.contributor.department | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.contributor.orcid | 0000-0002-0700-5774 | tr_TR |
dc.contributor.researcherid | ABA-6206-2020 | tr_TR |
dc.contributor.researcherid | J-3505-2017 | tr_TR |
dc.date.accessioned | 2022-03-25T11:08:23Z | |
dc.date.available | 2022-03-25T11:08:23Z | |
dc.date.issued | 2009 | |
dc.description.abstract | Bachet elliptic curves are the curves y(2) = x(3) + a(3) and, in this work, the group structure E(F-p) of these curves over finite fields F-p is considered. It is shown that there are two possible structures E(F-p) congruent to Cp+1 or E(F-p) congruent to C-n x C-nm, for m, n is an element of N; according to p equivalent to 5 (mod 6) and p equivalent to 1 (mod 6), respectively. A result of Washington is restated in a more specific way saying that if E(F-p) congruent to Z(n) x Z(n) then p equivalent to 7 (mod 12) p = n(2) -/+ n + 1. | en_US |
dc.identifier.citation | İkikardeş, N. Y. vd. (2009). "The group structure of bachet elliptic curves over finite fields f-p". Miskolc Mathematical Notes, 10(2), 129-136. | en_US |
dc.identifier.endpage | 136 | tr_TR |
dc.identifier.issn | 1787-2405 | |
dc.identifier.issue | 2 | tr_TR |
dc.identifier.startpage | 129 | tr_TR |
dc.identifier.uri | https://doi.org/10.18514/MMN.2009.182 | |
dc.identifier.uri | http://mat76.mat.uni-miskolc.hu/mnotes/article/182 | |
dc.identifier.uri | http://hdl.handle.net/11452/25350 | |
dc.identifier.volume | 10 | tr_TR |
dc.identifier.wos | 000273180800002 | tr_TR |
dc.indexed.wos | SCIE | en_US |
dc.language.iso | en | en_US |
dc.publisher | Univ Miskolc Inst Math | en_US |
dc.relation.bap | F-2003/63 | tr_TR |
dc.relation.bap | F-2004/40 | tr_TR |
dc.relation.collaboration | Yurt içi | tr_TR |
dc.relation.journal | Miskolc Mathematical Notes | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | tr_TR |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Elliptic curves over finite fields | en_US |
dc.subject | Rational points | en_US |
dc.subject | Mathematics | en_US |
dc.subject.wos | Mathematics | en_US |
dc.title | The group structure of bachet elliptic curves over finite fields f-p | en_US |
dc.type | Article |
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