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| Presentation | 2007-11-22 10:20 Knapsack Cryptosystem on Elliptic Curves of Trace Two Koichiro Noro, Kunikatsu Kobayashi (Yamagata Univ.)  ISEC2007-100 OIS2007-72 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The LLL algorithm is strong algorithm that decrypts the additional type Knapsack cryptosystem. However, the LLL algorithm is not applicable in the addition in the group that rational points of elliptic curves on finite fields do. Therefore, we think the Knapsack cryptosystem constructed on elliptic curves. For elliptic curves of trace 2, the computational complexity of the decryption can be made a subexponential time by converting the discrete logarithm problem on elliptic curves into the discrete logarithm problem on the multiplication group of finite fields by using the pairing. However, the computational complexity of the decryption can be made a polynomial time by taking properties of the pairing and calculations of the multiplication type Knapsack cryptosystem. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Knapsack cryptosystem / LLL algorithm / elliptic curves of trace 2 / pairing / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 346, ISEC2007-100, pp. 15-18, Nov. 2007. | |
| Paper # | ISEC2007-100 | |
| Date of Issue | 2007-11-15 (ISEC, OIS) | |
| 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 | ISEC2007-100 OIS2007-72 |
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| Conference Information | |
| Committee | ISEC LOIS |
| Conference Date | 2007-11-21 - 2007-11-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kobe University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2007-11-ISEC-OIS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Knapsack Cryptosystem on Elliptic Curves of Trace Two |
| Sub Title (in English) | |
| Keyword(1) | Knapsack cryptosystem |
| Keyword(2) | LLL algorithm |
| Keyword(3) | elliptic curves of trace 2 |
| Keyword(4) | pairing |
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| 1st Author's Name | Koichiro Noro |
| 1st Author's Affiliation | Yamagata University (Yamagata Univ.) |
| 2nd Author's Name | Kunikatsu Kobayashi |
| 2nd Author's Affiliation | Yamagata University (Yamagata Univ.) |
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| Speaker | Author-1 |
| Date Time | 2007-11-22 10:20:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2007-100, OIS2007-72 |
| Volume (vol) | vol.107 |
| Number (no) | no.346(ISEC), no.348(OIS) |
| Page | pp.15-18 |
| #Pages | 4 |
| Date of Issue | 2007-11-15 (ISEC, OIS) |
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