Paper Abstract and Keywords |
Presentation |
2017-03-09 14:25
Elliptic Curves Subjected to the GHS Attack on Composite Degree Extension Fields of Odd Characteristic Part II Tappei Kobayashi (Chuo Univ.), Tsutomu Iijima (Koden Electronics), Jinhui Chao (Chuo Univ.) IT2016-105 ISEC2016-95 WBS2016-81 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The GHS attack to elliptic/hyperelliptic curves cryptosystem is an attack to solve discrete logarithm problems (DLP) in an algebraic curve $C_0$ defined over the $d$ degree extension field $k_d$ of $k := {mathbb F}_q$ by mapping it to the DLP in a covering curve $C$ of $C_0$ over $k$. Recently, classifications for all elliptic curves which possess $(2, dots , 2)$-covering $C/k$ of ${mathbb P}^1$ over prime degree extension fields of odd characteristic were completed. However, classification for weak curves $C_0$ over composite degree extension fields of odd characteristic have not been available yet. This paper shows a classification of elliptic curves $C_0$ over composite degree $d, d = 4, 6, 8, 9, 10$ extension fields of odd characteristic which possess a $(2, dots ,2)$-covering over $k$ therefore subject to the GHS attack. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Elliptic curves / Hyperelliptic curves / Elliptic / hyperelliptic curves cryptosystems / GHS attack / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 505, ISEC2016-95, pp. 41-48, March 2017. |
Paper # |
ISEC2016-95 |
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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IT2016-105 ISEC2016-95 WBS2016-81 |
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) |
Elliptic Curves Subjected to the GHS Attack on Composite Degree Extension Fields of Odd Characteristic Part II |
Sub Title (in English) |
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Keyword(1) |
Elliptic curves |
Keyword(2) |
Hyperelliptic curves |
Keyword(3) |
Elliptic / hyperelliptic curves cryptosystems |
Keyword(4) |
GHS attack |
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1st Author's Name |
Tappei Kobayashi |
1st Author's Affiliation |
Chuo University (Chuo Univ.) |
2nd Author's Name |
Tsutomu Iijima |
2nd Author's Affiliation |
Koden Electronics Co., Ltd. (Koden Electronics) |
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 14:25:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
IT2016-105, ISEC2016-95, WBS2016-81 |
Volume (vol) |
vol.116 |
Number (no) |
no.504(IT), no.505(ISEC), no.506(WBS) |
Page |
pp.41-48 |
#Pages |
8 |
Date of Issue |
2017-03-02 (IT, ISEC, WBS) |
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