Square Root Computation in Finite Fields
| dc.contributor.author | Adiguzel-Goktas, Ebru | |
| dc.contributor.author | Ozdemir, Enver | |
| dc.date.accessioned | 2025-09-25T10:57:29Z | |
| dc.date.available | 2025-09-25T10:57:29Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper, we present a review of three widely-used practical square root algorithms. We then describe a unifying framework where each of these well-known algorithms can be seen as a special case of it. The framework with singular curves offers a broad perspective to compare and further improve the existing methods in addition to offering a new avenue for square root computation algorithms in finite fields. | en_US |
| dc.description.sponsorship | Abdullah Gul University | en_US |
| dc.description.sponsorship | We thank Andrew Sutherland and Rewievers for their corrections and suggestions to improve the quality of paper. | en_US |
| dc.description.sponsorship | Open access funding provided by the Scientific and Technological Research Council of Türkiye (TÜBİTAK). | |
| dc.description.sponsorship | Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK | |
| dc.identifier.doi | 10.1007/s10623-024-01374-1 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-85187433176 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-024-01374-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/4679 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Designs Codes and Cryptography | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Square Roots | en_US |
| dc.subject | Singular Curves | en_US |
| dc.subject | Elliptic Curves | en_US |
| dc.subject | 68Q99 | |
| dc.subject | Primary 11Y99 | |
| dc.title | Square Root Computation in Finite Fields | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 57766016600 | |
| gdc.author.scopusid | 55516649700 | |
| gdc.author.wosid | Ozdemir, Enver/Abg-9898-2020 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Adiguzel-Goktas, Ebru] Abdullah Gul Univ, Dept Comp Sci, Kayseri, Turkiye; [Ozdemir, Enver] Istanbul Tech Univ, Informat Inst, Istanbul, Turkiye | en_US |
| gdc.description.endpage | 1959 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1947 | en_US |
| gdc.description.volume | 92 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4392692874 | |
| gdc.identifier.wos | WOS:001180970900002 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | HYBRID | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 30 | |
| gdc.oaire.impulse | 1.0 | |
| gdc.oaire.influence | 2.5625801E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Singular curves | |
| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | 68Q99 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Elliptic curves | |
| gdc.oaire.keywords | Square roots | |
| gdc.oaire.keywords | Number Theory (math.NT) | |
| gdc.oaire.keywords | Primary 11Y99 | |
| gdc.oaire.keywords | Computational methods for problems pertaining to field theory | |
| gdc.oaire.keywords | Symbolic computation and algebraic computation | |
| gdc.oaire.keywords | square roots | |
| gdc.oaire.keywords | singular curves | |
| gdc.oaire.keywords | elliptic curves | |
| gdc.oaire.keywords | Number-theoretic algorithms; complexity | |
| gdc.oaire.popularity | 3.1540652E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.views | 108 | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 0.8142 | |
| gdc.openalex.normalizedpercentile | 0.73 | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.mendeley | 3 | |
| gdc.plumx.scopuscites | 0 | |
| gdc.scopus.citedcount | 0 | |
| gdc.wos.citedcount | 0 | |
| relation.isOrgUnitOfPublication | 665d3039-05f8-4a25-9a3c-b9550bffecef | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 665d3039-05f8-4a25-9a3c-b9550bffecef |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- s10623-024-01374-1.pdf
- Size:
- 277.13 KB
- Format:
- Adobe Portable Document Format
- Description:
- Makale Dosyası
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.44 KB
- Format:
- Item-specific license agreed upon to submission
- Description: