Complete group law for genus 2 Jacobians on Jacobian coordinates
| dc.contributor.author | Elif Ozbay Gurler | |
| dc.contributor.author | Hüseyin Hişil | |
| dc.contributor.author | Ozbay Gurler, Elif | |
| dc.contributor.author | Hisil, Huseyin | |
| dc.contributor.author | Gurler, Elif Ozbay | |
| dc.date.accessioned | 2025-10-06T17:48:59Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This manuscript provides complete inversion-free and explicit group law formulas in Jacobian coordinates for the genus 2 hyperelliptic curves of the form y2=x5+a<inf>3</inf>x3+a<inf>2</inf>x2+a<inf>1</inf>x+a<inf>0</inf> over a field K with char(K)≠2. The formulas do not require the use of polynomial arithmetic operations such as resultant mod or gcd computations but only operations in K. © 2024 Elsevier B.V. All rights reserved. | |
| dc.description.sponsorship | Projekt DEAL | |
| dc.description.sponsorship | Open Access funding enabled and organized by Projekt DEAL. | |
| dc.identifier.doi | 10.1007/s13389-024-00351-7 | |
| dc.identifier.issn | 21908516, 21908508 | |
| dc.identifier.issn | 2190-8508 | |
| dc.identifier.issn | 2190-8516 | |
| dc.identifier.scopus | 2-s2.0-85190543677 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190543677&doi=10.1007%2Fs13389-024-00351-7&partnerID=40&md5=e68dccb07efc8a63f70e919f17714350 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/8219 | |
| dc.identifier.uri | https://doi.org/10.1007/s13389-024-00351-7 | |
| dc.language.iso | English | |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | |
| dc.relation.ispartof | Journal of Cryptographic Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Journal of Cryptographic Engineering | |
| dc.subject | Explicit Formulas, Genus 2, Group Law, Hyperelliptic Curves, Jacobian Coordinates, Arithmetic Operations, Explicit Formula, Genus 2, Group Law, Hyper-elliptic Curves, Jacobian Coordinate, Jacobians, Polynomial Arithmetic, Geometry | |
| dc.subject | Arithmetic operations, Explicit formula, Genus 2, Group law, Hyper-elliptic curves, Jacobian coordinate, Jacobians, Polynomial arithmetic, Geometry | |
| dc.subject | Genus 2 | |
| dc.subject | Group Law | |
| dc.subject | Explicit Formulas | |
| dc.subject | Hyperelliptic Curves | |
| dc.subject | Jacobian Coordinates | |
| dc.title | Complete group law for genus 2 Jacobians on Jacobian coordinates | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | HISIL, HUSEYIN/0000-0002-1019-2187 | |
| gdc.author.id | Özbay Gürler, Elif/0000-0002-4716-5625 | |
| gdc.author.scopusid | 13408968300 | |
| gdc.author.scopusid | 58988473800 | |
| gdc.author.wosid | HISIL, HUSEYIN/L-9151-2013 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | ||
| gdc.description.departmenttemp | [Gurler, Elif Ozbay] Yasar Univ, Yasar Univ, Comp Engn Dept, TR-35100 Izmir, Turkiye; [Hisil, Huseyin] Univ Wollongong, Sch Comp & Informat Technol, Wollongong, NSW 2522, Australia | |
| gdc.description.endpage | 101 | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 87 | |
| gdc.description.volume | 14 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W4394840902 | |
| gdc.identifier.wos | WOS:001245344200003 | |
| gdc.index.type | Scopus | |
| gdc.index.type | WoS | |
| gdc.oaire.accesstype | HYBRID | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.3811355E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Group law | |
| gdc.oaire.keywords | Jacobian coordinates | |
| gdc.oaire.keywords | Explicit formulas | |
| gdc.oaire.keywords | Hyperelliptic curves | |
| gdc.oaire.keywords | Genus 2 | |
| gdc.oaire.popularity | 2.2424942E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.1 | |
| gdc.opencitations.count | 0 | |
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| oaire.citation.endPage | 101 | |
| oaire.citation.startPage | 87 | |
| person.identifier.scopus-author-id | Ozbay Gurler- Elif (58988473800), Hişil- Hüseyin (13408968300) | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 14 | |
| relation.isOrgUnitOfPublication | ac5ddece-c76d-476d-ab30-e4d3029dee37 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | ac5ddece-c76d-476d-ab30-e4d3029dee37 |
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