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| Presentation | 2009-09-25 10:45 A Study on Higher Order Difference Operation for Calculating a Large Number of Elliptic Curve Scalar Multiples Tomoko K. Matsushima, Yoshitaka Sagara, Nobuhide Sakuragi (Polytechnic Univ.), Osamu Ashihara  ISEC2009-40 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Efficient elliptic curve arithmetic is crucial for cryptosystems based on elliptic curves. Such cryptosystems often require computing a scalar multiple $kP$ of a base point $P$. In this paper, we propose an effective algorithm to compute a large number of scalar multiples simultaneously for a given point $P$ on an elliptic curve. The algorithm adopts the higher order difference operation, in each step of which sort and differencing operations are carried out. We evaluate the performance of our algorithm. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | elliptic curves / scalar multiplication / higher order difference operation / sort / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 207, ISEC2009-40, pp. 1-8, Sept. 2009. | |
| Paper # | ISEC2009-40 | |
| Date of Issue | 2009-09-18 (ISEC) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | ISEC2009-40 |
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| Conference Information | |
| Committee | ISEC |
| Conference Date | 2009-09-25 - 2009-09-25 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2009-09-ISEC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Study on Higher Order Difference Operation for Calculating a Large Number of Elliptic Curve Scalar Multiples |
| Sub Title (in English) | |
| Keyword(1) | elliptic curves |
| Keyword(2) | scalar multiplication |
| Keyword(3) | higher order difference operation |
| Keyword(4) | sort |
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| Keyword(8) | |
| 1st Author's Name | Tomoko K. Matsushima |
| 1st Author's Affiliation | Polytechnic University (Polytechnic Univ.) |
| 2nd Author's Name | Yoshitaka Sagara |
| 2nd Author's Affiliation | Polytechnic University (Polytechnic Univ.) |
| 3rd Author's Name | Nobuhide Sakuragi |
| 3rd Author's Affiliation | Polytechnic University (Polytechnic Univ.) |
| 4th Author's Name | Osamu Ashihara |
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| Speaker | Author-1 |
| Date Time | 2009-09-25 10:45:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2009-40 |
| Volume (vol) | vol.109 |
| Number (no) | no.207 |
| Page | pp.1-8 |
| #Pages | 8 |
| Date of Issue | 2009-09-18 (ISEC) |
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