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| Presentation | 2011-07-22 10:20 Paring-Friendly Curve over Extension Field of Degree r where r is The Group Order Yuki Mori, Taichi Sumo, Yasuyuki Nogami (Okayama Univ.), Tomoko K. Matsushima (Polytechnic Univ.), Satoshi Uehara (Kitakyusyu City Univ.)  IT2011-18 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper considers the torsion group structure when the extension degree of the definition field of the non-supersingular pairing-friendly curve is divisible by the cyclic group order. In order to show some practical cases, this paper users BN curve of a small order. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | pairing / group structure / ECDLP / Frobenius map / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 142, IT2011-18, pp. 47-52, July 2011. | |
| Paper # | IT2011-18 | |
| Date of Issue | 2011-07-14 (IT) | |
| 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 | IT2011-18 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2011-07-21 - 2011-07-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okayama University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2011-07-IT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Paring-Friendly Curve over Extension Field of Degree r where r is The Group Order |
| Sub Title (in English) | |
| Keyword(1) | pairing |
| Keyword(2) | group structure |
| Keyword(3) | ECDLP |
| Keyword(4) | Frobenius map |
| Keyword(5) | |
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| Keyword(8) | |
| 1st Author's Name | Yuki Mori |
| 1st Author's Affiliation | Okayama University (Okayama Univ.) |
| 2nd Author's Name | Taichi Sumo |
| 2nd Author's Affiliation | Okayama University (Okayama Univ.) |
| 3rd Author's Name | Yasuyuki Nogami |
| 3rd Author's Affiliation | Okayama University (Okayama Univ.) |
| 4th Author's Name | Tomoko K. Matsushima |
| 4th Author's Affiliation | The Graduate School of Engineering, Polytechnic University (Polytechnic Univ.) |
| 5th Author's Name | Satoshi Uehara |
| 5th Author's Affiliation | Kitakyushu University (Kitakyusyu City Univ.) |
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| Speaker | Author-1 |
| Date Time | 2011-07-22 10:20:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2011-18 |
| Volume (vol) | vol.111 |
| Number (no) | no.142 |
| Page | pp.47-52 |
| #Pages | 6 |
| Date of Issue | 2011-07-14 (IT) |
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