Speeding up Huff form of elliptic curves
| dc.contributor.author | Neriman Gamze Orhon | |
| dc.contributor.author | Hüseyin Hişil | |
| dc.date.accessioned | 2025-10-06T17:51:34Z | |
| 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 6 M+ 5 S to 8 M and mixed addition operation count record from 10 M to 8 M. Both sets of formulas are shown to be 4-way parallel leading to an effective cost of 2 M per either of the group operations. © 2018 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1007/s10623-018-0475-4 | |
| dc.identifier.issn | 09251022, 15737586 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044595477&doi=10.1007%2Fs10623-018-0475-4&partnerID=40&md5=b7ca05cfaffee2ac7d035edfc094f2b4 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/9506 | |
| dc.language.iso | English | |
| dc.publisher | Springer New York LLC barbara.b.bertram@gsk.com | |
| dc.relation.ispartof | Designs, Codes and Cryptography | |
| dc.source | Designs Codes and Cryptography | |
| dc.subject | 2-isogeny, Efficient, Elliptic Curves, Huff Curves, Inversion-free Point Addition, Parallel Computation, Scalar Multiplication, Computer Applications, Mathematical Techniques, 2-isogeny, Efficient, Elliptic Curve, Huff Curves, Parallel Computation, Point Additions, Scalar Multiplication, Geometry | |
| dc.subject | Computer applications, Mathematical techniques, 2-Isogeny, Efficient, Elliptic curve, Huff curves, Parallel Computation, Point additions, Scalar multiplication, Geometry | |
| dc.title | Speeding up Huff form of elliptic curves | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
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| gdc.description.endpage | 2823 | |
| gdc.description.startpage | 2807 | |
| gdc.description.volume | 86 | |
| 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 | |
| gdc.oaire.popularity | 3.231445E-9 | |
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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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| gdc.opencitations.count | 5 | |
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| oaire.citation.endPage | 2823 | |
| oaire.citation.startPage | 2807 | |
| person.identifier.scopus-author-id | Orhon- Neriman Gamze (56177637200), Hişil- Hüseyin (13408968300) | |
| project.funder.name | This project is funded by Yasar University Scientific Research Project SRP-024. | |
| publicationissue.issueNumber | 12 | |
| publicationvolume.volumeNumber | 86 | |
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