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Paper Abstract and Keywords
Presentation 2023-03-14 13:25
Signature scheme based on OSIDH
Kohtaroh Aoyagi (TUT), Hiroki Minamide (NITTC), Koutarou Suzuki (TUT) IT2022-90 ISEC2022-69 WBS2022-87 RCC2022-87
Abstract (in Japanese) (See Japanese page) 
(in English) Isogeny-based cryptography, post-quantum cryptography, is a cryptographic technique that has attracted attention because of its advantages, such as small public key length.
SIDH was known as the leading scheme for isogeny-based cryptography, but it became insecure after a polynomial-time key recovery attack was discovered in July 2022.
CSIDH is still considered secure; however, there is a subexponential-time attack using a quantum computer.
OSIDH is a generalization of CSIDH and is secure because there is no known subexponential-time attack using a classical and quantum computer.
However, because the OSIDH construction is complex, no schemes other than key exchange have been proposed.

This paper proposes the first OSIDH-based signature scheme.
We construct the proposed scheme by applying the construction of the CSIDH-based signature scheme SeaSign to OSIDH.
In addition, we define a new computational problem and prove the security of the proposed scheme based on it.
Keyword (in Japanese) (See Japanese page) 
(in English) Isogeny-based cryptography / OSIDH / signature / ideal class group / modular polynomial / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 428, ISEC2022-69, pp. 135-141, March 2023.
Paper # ISEC2022-69 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 
ISSN Online edition: ISSN 2432-6380
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 IT2022-90 ISEC2022-69 WBS2022-87 RCC2022-87

Conference Information
Committee RCC ISEC IT WBS  
Conference Date 2023-03-14 - 2023-03-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To ISEC 
Conference Code 2023-03-RCC-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Signature scheme based on OSIDH 
Sub Title (in English)  
Keyword(1) Isogeny-based cryptography  
Keyword(2) OSIDH  
Keyword(3) signature  
Keyword(4) ideal class group  
Keyword(5) modular polynomial  
1st Author's Name Kohtaroh Aoyagi  
1st Author's Affiliation Toyohashi University of Technology (TUT)
2nd Author's Name Hiroki Minamide  
2nd Author's Affiliation National Institute of Technology, Tokyo College (NITTC)
3rd Author's Name Koutarou Suzuki  
3rd Author's Affiliation Toyohashi University of Technology (TUT)
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Speaker Author-1 
Date Time 2023-03-14 13:25:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2022-90, ISEC2022-69, WBS2022-87, RCC2022-87 
Volume (vol) vol.122 
Number (no) no.427(IT), no.428(ISEC), no.429(WBS), no.430(RCC) 
Page pp.135-141 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 

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