Speeding up Huff form of elliptic curves
| dc.contributor.author | Neriman Gamze Orhon | |
| dc.contributor.author | Huseyin Hisil | |
| dc.contributor.author | Orhon, Neriman Gamze | |
| dc.contributor.author | Hisil, Huseyin | |
| dc.date | DEC | |
| dc.date.accessioned | 2025-10-06T16:20:37Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | This paper presents faster inversion-free point addition formulas for the curve y(1+ ax2) = cx(1+ dy2). The proposed formulas improve the point doubling operation count record (I M S D a are arithmetic operations over a field. I: inversion M: multiplication S: squaring D: multiplication by a curve constant a: addition/ subtraction) from 6M + 5S to 8M and mixed addition operation count record from 10M to 8M. Both sets of formulas are shown to be 4-way parallel leading to an effective cost of 2M per either of the group operations. | |
| dc.description.sponsorship | Yasar University, (SRP-024) | |
| dc.description.sponsorship | This project is funded by Yasar University Scientific Research Project SRP-024. | |
| dc.identifier.doi | 10.1007/s10623-018-0475-4 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-85044595477 | |
| dc.identifier.uri | http://dx.doi.org/10.1007/s10623-018-0475-4 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6471 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-018-0475-4 | |
| dc.language.iso | English | |
| dc.publisher | SPRINGER | |
| dc.relation.ispartof | Designs, Codes and Cryptography | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | DESIGNS CODES AND CRYPTOGRAPHY | |
| dc.subject | Elliptic curves, 2-Isogeny, Efficient, Scalar multiplication, Huff curves, Inversion-free point addition, Parallel computation | |
| dc.subject | TWISTED EDWARDS CURVES, MODEL | |
| dc.subject | Parallel Computation | |
| dc.subject | Efficient | |
| dc.subject | Huff Curves | |
| dc.subject | Inversion-Free Point Addition | |
| dc.subject | 2-isogeny | |
| dc.subject | Scalar Multiplication | |
| dc.subject | Elliptic Curves | |
| dc.title | Speeding up Huff form of elliptic curves | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | HISIL, HUSEYIN/0000-0002-1019-2187 | |
| gdc.author.scopusid | 56177637200 | |
| gdc.author.scopusid | 13408968300 | |
| gdc.author.wosid | HISIL, HUSEYIN/L-9151-2013 | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Orhon, Neriman Gamze] Gediz Elect Inc, Gediz, Turkey; [Hisil, Huseyin] Yasar Univ, Izmir, Turkey | |
| gdc.description.endpage | 2823 | |
| gdc.description.issue | 12 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 2807 | |
| gdc.description.volume | 86 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W2794936923 | |
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| gdc.oaire.keywords | Data encryption (aspects in computer science) | |
| gdc.oaire.keywords | Algebraic coding theory; cryptography (number-theoretic aspects) | |
| gdc.oaire.keywords | inversion-free point addition | |
| gdc.oaire.keywords | Applications to coding theory and cryptography of arithmetic geometry | |
| gdc.oaire.keywords | efficient | |
| gdc.oaire.keywords | 2-isogeny | |
| gdc.oaire.keywords | Cryptography | |
| gdc.oaire.keywords | elliptic curves | |
| gdc.oaire.keywords | Elliptic curves | |
| gdc.oaire.keywords | scalar multiplication | |
| gdc.oaire.keywords | Huff curves | |
| gdc.oaire.keywords | parallel computation | |
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| gdc.oaire.sciencefields | 0102 computer and information sciences | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
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| oaire.citation.endPage | 2823 | |
| oaire.citation.startPage | 2807 | |
| project.funder.name | Yasar University [SRP-024] | |
| publicationissue.issueNumber | 12 | |
| publicationvolume.volumeNumber | 86 | |
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