Paper Abstract and Keywords |
Presentation |
2020-05-20 14:10
[Invited Talk]
How to Construct CSIDH on Edwards Curves (from CT-RSA 2020) Tomoki Moriya, Hiroshi Onuki, Tsuyoshi Takagi (UTokyo) ISEC2020-8 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
CSIDH is an isogeny-based key-exchange protocol, that is one of the candidates for post-quantum cryptography. It is based on an ideal class group action on $mathbb{F}_p$-isomorphism classes of supersingular elliptic curves. In order to calculate the class group action, we need to take points defined over $mathbb{F}_{p^2}$. The original CSIDH algorithm only requires a calculation over $mathbb{F}_p$ by using Montgomery curves. If we try to do a similar calculation by using a $w$-coordinate on Edwards curves, we have to consider points defined over $mathbb{F}_{p^4}$. Therefore, it is not a trivial task to calculate the class group action on Edwards curves. In this presentation, I propose a new method to construct CSIDH by using the $w$-coordinate on Edwards curves, and give the computational complexity of this new algorithm. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Isogeny-based cryptography / Montgomery curves / Edwards curves / CSIDH / Post-quantum cryptography / / / |
Reference Info. |
IEICE Tech. Rep., vol. 120, no. 28, ISEC2020-8, pp. 31-31, May 2020. |
Paper # |
ISEC2020-8 |
Date of Issue |
2020-05-13 (ISEC) |
ISSN |
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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ISEC2020-8 |
Conference Information |
Committee |
ISEC |
Conference Date |
2020-05-20 - 2020-05-20 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Online |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2020-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
How to Construct CSIDH on Edwards Curves (from CT-RSA 2020) |
Sub Title (in English) |
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Keyword(1) |
Isogeny-based cryptography |
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Montgomery curves |
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Edwards curves |
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CSIDH |
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Post-quantum cryptography |
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1st Author's Name |
Tomoki Moriya |
1st Author's Affiliation |
The University of Tokyo (UTokyo) |
2nd Author's Name |
Hiroshi Onuki |
2nd Author's Affiliation |
The University of Tokyo (UTokyo) |
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Tsuyoshi Takagi |
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The University of Tokyo (UTokyo) |
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Speaker |
Author-1 |
Date Time |
2020-05-20 14:10:00 |
Presentation Time |
20 minutes |
Registration for |
ISEC |
Paper # |
ISEC2020-8 |
Volume (vol) |
vol.120 |
Number (no) |
no.28 |
Page |
p.31 |
#Pages |
1 |
Date of Issue |
2020-05-13 (ISEC) |
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