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Paper Abstract and Keywords
Presentation 2009-05-22 13:50
A Consideration on Generating Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors
Kazushi Nishii, Yumi Sakemi, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) ISEC2009-8
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, pairing-based cryptographic applications such as ID-basedcryptography have received muchattention.
On the other hand, RSA cryptography has been widely used and is defined over a certain composite order as the modulus.
In detail, it generally needs to be a product of two large prime numbers.
In order to apply RSA--based techniques to pairing-based cryptography, pairing-friendly elliptic curve also needs to have such a composite order.
This paper proposes a method for generating ordinary pairing-friendly curves of such a composite order especially when the embedding degree $k$ is equal to 3, the discriminant is equal to 3, in addition the elliptic curve is given in the form of $y^2 = x^3 + a, a\in \F{p}{}$.
Keyword (in Japanese) (See Japanese page) 
(in English) pairing / composite order / ordinary curve / / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 42, ISEC2009-8, pp. 51-54, May 2009.
Paper # ISEC2009-8 
Date of Issue 2009-05-15 (ISEC) 
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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Conference Information
Committee ISEC  
Conference Date 2009-05-22 - 2009-05-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2009-05-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Consideration on Generating Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors 
Sub Title (in English)  
Keyword(1) pairing  
Keyword(2) composite order  
Keyword(3) ordinary curve  
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1st Author's Name Kazushi Nishii  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Yumi Sakemi  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name Yasuyuki Nogami  
3rd Author's Affiliation Okayama University (Okayama Univ.)
4th Author's Name Yoshitaka Morikawa  
4th Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2009-05-22 13:50:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2009-8 
Volume (vol) vol.109 
Number (no) no.42 
Page pp.51-54 
#Pages
Date of Issue 2009-05-15 (ISEC) 


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