High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition
| dc.contributor.author | Joppe W. Bos | |
| dc.contributor.author | Craig Costello | |
| dc.contributor.author | Huseyin Hisil | |
| dc.contributor.author | Kristin Lauter | |
| dc.contributor.author | Bos, Joppe W. | |
| dc.contributor.author | Lauter, Kristin | |
| dc.contributor.author | Costello, Craig | |
| dc.contributor.author | Hisil, Huseyin | |
| dc.contributor.editor | G Bertoni | |
| dc.contributor.editor | JS Coron | |
| dc.coverage.spatial | Santa Barbara CA | |
| dc.date.accessioned | 2025-10-06T16:20:54Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | This paper explores the potential for using genus 2 curves over quadratic extension fields in cryptography motivated by the fact that they allow for an 8-dimensional scalar decomposition when using a combination of the GLV/GLS algorithms. Besides lowering the number of doublings required in a scalar multiplication this approach has the advantage of performing arithmetic operations in a 64-bit ground field making it an attractive candidate for embedded devices. We found cryptographically secure genus 2 curves which although susceptible to index calculus attacks aim for the standardized 112-bit security level. Our implementation results on both high-end architectures (Ivy Bridge) and low-end ARM platforms (Cortex-A8) highlight the practical benefits of this approach. | |
| dc.description.sponsorship | CryptoExperts; et al.; Infineon; International Association for Cryptologic Research; Intrinsic ID; MicroSemi | |
| dc.identifier.doi | 10.1007/978-3-642-40349-1_19 | |
| dc.identifier.isbn | 978-3-642-40349-1, 978-3-642-40348-4 | |
| dc.identifier.isbn | 9783642403484 | |
| dc.identifier.isbn | 9783642403491 | |
| dc.identifier.issn | 0302-9743 | |
| dc.identifier.issn | 1611-3349 | |
| dc.identifier.scopus | 2-s2.0-84890775778 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6615 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-642-40349-1_19 | |
| dc.language.iso | English | |
| dc.publisher | SPRINGER-VERLAG BERLIN | |
| dc.relation.ispartof | 15th International Workshop on Cryptographic Hardware and Embedded Systems (CHES) | |
| dc.relation.ispartofseries | Lecture Notes in Computer Science | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS - CHES 2013 | |
| dc.subject | HYPERELLIPTIC CURVES, ELLIPTIC-CURVES, WEIL DESCENT, CRYPTOGRAPHY, ENDOMORPHISMS, ALGORITHM, GENUS | |
| dc.title | High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition | |
| dc.type | Conference Object | |
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| gdc.author.id | Costello, Craig/0000-0001-5423-7714 | |
| gdc.author.id | Bos, Joppe/0000-0003-1010-8157 | |
| gdc.author.id | HISIL, HUSEYIN/0000-0002-1019-2187 | |
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| gdc.author.wosid | HISIL, HUSEYIN/L-9151-2013 | |
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| gdc.description.departmenttemp | [Bos, Joppe W.; Costello, Craig; Lauter, Kristin] Microsoft Res, Redmond, WA 98052 USA; [Hisil, Huseyin] Yasar Univ, Izmir, Turkey | |
| gdc.description.endpage | 348 | |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 331 | |
| gdc.description.volume | 8086 | |
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| person.identifier.orcid | Bos- Joppe/0000-0003-1010-8157, HISIL- HUSEYIN/0000-0002-1019-2187, Costello- Craig/0000-0001-5423-7714 | |
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