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Paper Abstract and Keywords
Presentation 2019-07-24 09:55
A Performance Analysis of Supersingular Isogeny Diffie-Hellman with Several Classes of the Quadratic Extension Fields
Yuki Nanjo (Okayama Univ.), Masaaki Shirase (Future Univ. Hakodate), Takuya Kusaka, Yasuyuki Nogami (Okayama Univ.) ISEC2019-36 SITE2019-30 BioX2019-28 HWS2019-31 ICSS2019-34 EMM2019-39
Abstract (in Japanese) (See Japanese page) 
(in English) It is well-known that the class of binomial extension field (BEF) is widely used to construct a quadratic extension field of supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol.
There is a possibility to improve the performance of SIDH by employing other classes of quadratic extension fields, i.e., all-one polynomial extension field (AOPF) and extension field with normal basis (EFN), without sacrificing the range of primes.
In this manuscript, the authors confirm that the applicability of the other classes for SIDH and evaluate the computational complexity of the large-degree isogenies required for SIDH.
The results of the experiments show that the performances with the classes are comparable to the quadratic extension field with a binomial $x^2+1$.
Keyword (in Japanese) (See Japanese page) 
(in English) Post--quantum cryptography / SIDH / Extension field arithmetic / / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 140, ISEC2019-36, pp. 207-214, July 2019.
Paper # ISEC2019-36 
Date of Issue 2019-07-16 (ISEC, SITE, BioX, HWS, ICSS, EMM) 
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 ISEC2019-36 SITE2019-30 BioX2019-28 HWS2019-31 ICSS2019-34 EMM2019-39

Conference Information
Committee ISEC SITE ICSS EMM HWS BioX IPSJ-CSEC IPSJ-SPT 
Conference Date 2019-07-23 - 2019-07-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Kochi University of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Security, etc. 
Paper Information
Registration To ISEC 
Conference Code 2019-07-ISEC-SITE-ICSS-EMM-HWS-BioX-CSEC-SPT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Performance Analysis of Supersingular Isogeny Diffie-Hellman with Several Classes of the Quadratic Extension Fields 
Sub Title (in English)  
Keyword(1) Post--quantum cryptography  
Keyword(2) SIDH  
Keyword(3) Extension field arithmetic  
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1st Author's Name Yuki Nanjo  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Masaaki Shirase  
2nd Author's Affiliation Future University Hakodate (Future Univ. Hakodate)
3rd Author's Name Takuya Kusaka  
3rd Author's Affiliation Okayama University (Okayama Univ.)
4th Author's Name Yasuyuki Nogami  
4th Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2019-07-24 09:55:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2019-36, SITE2019-30, BioX2019-28, HWS2019-31, ICSS2019-34, EMM2019-39 
Volume (vol) vol.119 
Number (no) no.140(ISEC), no.141(SITE), no.142(BioX), no.143(HWS), no.144(ICSS), no.145(EMM) 
Page pp.207-214 
#Pages 8 
Date of Issue 2019-07-16 (ISEC, SITE, BioX, HWS, ICSS, EMM) 

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