Paper Abstract and Keywords |
Presentation |
2017-03-09 15:50
Construction of covering curves of elliptic curves over finite fields of even characteristic using simple extension Seiya Kukisaki (Chuo Univ.), Mahoro Simura (Tokai Univ.), Jinhui Chao (Chuo Univ.) IT2016-111 ISEC2016-101 WBS2016-87 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The GHS attacks present a serious threat to cryptosystems using elliptic curves over extensions of finite fields when the curves induce a covering curve over the ground fields. Thus in general the covering curve is the central subject for the GHS attack, which also provides a model and a target for security analysis and implementation of the attack. However, explicit construction of such covering curves is non trivial. Diem and Hashizume et al. shown different methods to construct covering curves over extension fields of odd characteristic, e.g. cubic extensions. On the other hand, general algorithms to find covering curves for even characteristic case seemed not available. In this paper, we show a method of construction covering curves based on theory of simple extension fields and obtain covering curves of elliptic curves over quadratic extension fields of
even characteristic. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Elliptic curve cryptography / GHS attack / Simple extension / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 505, ISEC2016-101, pp. 79-83, March 2017. |
Paper # |
ISEC2016-101 |
Date of Issue |
2017-03-02 (IT, ISEC, WBS) |
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) |
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IT2016-111 ISEC2016-101 WBS2016-87 |
Conference Information |
Committee |
ISEC WBS IT |
Conference Date |
2017-03-09 - 2017-03-10 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
TOKAI University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
ISEC |
Conference Code |
2017-03-ISEC-WBS-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Construction of covering curves of elliptic curves over finite fields of even characteristic using simple extension |
Sub Title (in English) |
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Keyword(1) |
Elliptic curve cryptography |
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GHS attack |
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Simple extension |
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1st Author's Name |
Seiya Kukisaki |
1st Author's Affiliation |
Chuo University (Chuo Univ.) |
2nd Author's Name |
Mahoro Simura |
2nd Author's Affiliation |
Tokai University (Tokai Univ.) |
3rd Author's Name |
Jinhui Chao |
3rd Author's Affiliation |
Chuo University (Chuo Univ.) |
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Speaker |
Author-1 |
Date Time |
2017-03-09 15:50:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
IT2016-111, ISEC2016-101, WBS2016-87 |
Volume (vol) |
vol.116 |
Number (no) |
no.504(IT), no.505(ISEC), no.506(WBS) |
Page |
pp.79-83 |
#Pages |
5 |
Date of Issue |
2017-03-02 (IT, ISEC, WBS) |
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