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| Presentation | 2016-07-29 10:40 A Consideration of an Efficient Calculation over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography Yuta Kodera (Okayama Univ.), Sylvain Duquesne (Univ. Rennes 1), Masaaki Shirase (FUN), Yasuyuki Nogami (Okayama Univ.)  IT2016-30 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Recently, pairing based cryptography, which is one of public-key cryptographies, has been paid attention. Mathematically, it has a close relationship with extension field, particularly, fundamental arithmetics such as multiplication. In order to make it practical, it is essencial to improve the fundamental calculations. Karatsuba method is widely used for reducing calculation costs. CVMA(cyclic vector multiplication algorithm) is also efficient, particularly for multiplication and Frobenius mapping. This paper considers to make CVMA more efficient and then evaluates the calculation costs compared to Karatsuba method. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | pairing based cryptography / Karatsuba method / extension field / cyclic vector multiplication algorithm / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 163, IT2016-30, pp. 51-56, July 2016. | |
| Paper # | IT2016-30 | |
| Date of Issue | 2016-07-21 (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 | IT2016-30 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2016-07-28 - 2016-07-29 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Seminar House, Fukuoka Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | freshman session, general |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2016-07-IT |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Consideration of an Efficient Calculation over the Extension Field of Degree 3 for Elliptic Curve Pairing Cryptography |
| Sub Title (in English) | |
| Keyword(1) | pairing based cryptography |
| Keyword(2) | Karatsuba method |
| Keyword(3) | extension field |
| Keyword(4) | cyclic vector multiplication algorithm |
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| 1st Author's Name | Yuta Kodera |
| 1st Author's Affiliation | Okayama University (Okayama Univ.) |
| 2nd Author's Name | Sylvain Duquesne |
| 2nd Author's Affiliation | University Rennes 1 (Univ. Rennes 1) |
| 3rd Author's Name | Masaaki Shirase |
| 3rd Author's Affiliation | Future University Hakodate (FUN) |
| 4th Author's Name | Yasuyuki Nogami |
| 4th Author's Affiliation | Okayama University (Okayama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2016-07-29 10:40:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2016-30 |
| Volume (vol) | vol.116 |
| Number (no) | no.163 |
| Page | pp.51-56 |
| #Pages | 6 |
| Date of Issue | 2016-07-21 (IT) |
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