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Paper Abstract and Keywords
Presentation 2009-09-25 15:20
An Implementation of Tate Pairing with Non-Supersingular Curves of Embedding degree 1
Tetsuya Izuta, Yumi Sakemi, Kazushi Nishii, Shoichi Takeuchi, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) ISEC2009-48
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, pairing-based cryptographic applications such as ID-based cryptography have received much attention. On the other hand, RSA cryptography has been widely used and it 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 curve needs to have such a composite order. This paper focuses on some $non$-$supersingular$ pairing friendly curves whose order $r$ has two large prime factors and embedding degree $k$ is equal to 1. This paper shows some experimental results on generating such a composite order curve and Tate pairing.
Keyword (in Japanese) (See Japanese page) 
(in English) pairing / embedding degree 1 / non-supersingular pairing friendly elliptic curve / / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 207, ISEC2009-48, pp. 59-64, Sept. 2009.
Paper # ISEC2009-48 
Date of Issue 2009-09-18 (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 2009-09-25 - 2009-09-25 
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 2009-09-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Implementation of Tate Pairing with Non-Supersingular Curves of Embedding degree 1 
Sub Title (in English)  
Keyword(1) pairing  
Keyword(2) embedding degree 1  
Keyword(3) non-supersingular pairing friendly elliptic curve  
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1st Author's Name Tetsuya Izuta  
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 Kazushi Nishii  
3rd Author's Affiliation Okayama University (Okayama Univ.)
4th Author's Name Shoichi Takeuchi  
4th Author's Affiliation Okayama University (Okayama Univ.)
5th Author's Name Yasuyuki Nogami  
5th Author's Affiliation Okayama University (Okayama Univ.)
6th Author's Name Yoshitaka Morikawa  
6th Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2009-09-25 15:20:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2009-48 
Volume (vol) vol.109 
Number (no) no.207 
Page pp.59-64 
#Pages 6 
Date of Issue 2009-09-18 (ISEC) 

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