d-MUL: Optimizing and implementing a multidimensional scalar multiplication algorithm over elliptic curves
| dc.contributor.author | Hüseyin Hişil | |
| dc.contributor.author | Aaron Hutchinson | |
| dc.contributor.author | Koray Karabina | |
| dc.contributor.editor | A. Chattopadhyay , Y. Yarom , C. Rebeiro | |
| dc.date.accessioned | 2025-10-06T17:51:46Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | This paper aims to answer whether d-MUL the multidimensional scalar point multiplication algorithm can be implemented efficiently. d-MUL is known to access costly matrix operations and requires memory access frequently. In the first part of the paper we derive several theoretical results on the structure and the construction of the addition chains in d-MUL. These results are interesting on their own right. In the second part of the paper we exploit our theoretical results and propose an optimized variant of d-MUL. Our implementation results show that d-MUL can be very practical for small d and it remains as an interesting algorithm to further explore for parallel implementation and cryptographic applications. © 2019 Elsevier B.V. All rights reserved. | |
| dc.identifier.doi | 10.1007/978-3-030-05072-6_12 | |
| dc.identifier.isbn | 9789819698936, 9789819698042, 9789819698110, 9789819698905, 9789819512324, 9783032026019, 9783032008909, 9783031915802, 9789819698141, 9783031984136 | |
| dc.identifier.issn | 16113349, 03029743 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85058505087&doi=10.1007%2F978-3-030-05072-6_12&partnerID=40&md5=7c75dc43605130bdfb15770d654b4036 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/9613 | |
| dc.language.iso | English | |
| dc.publisher | Springer Verlag service@springer.de | |
| dc.relation.ispartof | 8th International Conference on Security Privacy and Applied Cryptography Engineering SPACE 2018 | |
| dc.source | Lecture Notes in Computer Science | |
| dc.subject | D-mul, Differential Addition Chain, Elliptic Curve Scalar Multiplication, Isochronous Implementation, Geometry, Addition Chains, Cryptographic Applications, Elliptic Curve, Isochronous Implementation, Matrix Operations, Parallel Implementations, Scalar Multiplication, Scalar Point Multiplication, Cryptography | |
| dc.subject | Geometry, Addition chains, Cryptographic applications, Elliptic curve, Isochronous implementation, Matrix operations, Parallel implementations, Scalar multiplication, Scalar point multiplication, Cryptography | |
| dc.title | d-MUL: Optimizing and implementing a multidimensional scalar multiplication algorithm over elliptic curves | |
| dc.type | Conference Object | |
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| oaire.citation.endPage | 217 | |
| oaire.citation.startPage | 198 | |
| person.identifier.scopus-author-id | Hişil- Hüseyin (13408968300), Hutchinson- Aaron (57205098130), Karabina- Koray (24338530800) | |
| project.funder.name | Acknowledgements. The authors would like to thank reviewers for their comments and corrections. Research reported in this paper was supported by the Army Research Office under the award number W911NF-17-1-0311. The content is solely the responsibility of the authors and does not necessarily represent the official views of the Army Research Office. | |
| publicationvolume.volumeNumber | 11348 LNCS | |
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