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Paper Abstract and Keywords
Presentation 2013-05-23 15:35
Improvement in Addition formula on Elliptic Curves
Yoshitaka Nagai (Future Univ. Hakodate), Tetsuya Izu (Fujitsu Lab), Masaaki Shirase (Future Univ. Hakodate) ISEC2013-7
Abstract (in Japanese) (See Japanese page) 
(in English) It is important to speed up scalar multiplication in elliptic curve cryptosystem and then various speeding-up techniques have been proposed.This paper shows that the cost of scalar multiplication of a base point
on an elliptic curve given by Weierstrass form over a prime field
is reduced using a bijective transform so that $x$ coordinate $= pm y$ coordinate of the base point. In fact, the cost of scalar multiplication is reduced by $2 sim 5%$ in projective, Jacobian, and modified Jacobian coordinates.
Keyword (in Japanese) (See Japanese page) 
(in English) elliptic curve cryptosystem / scalar multiplication / speeding up / bijective transform / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 53, ISEC2013-7, pp. 39-46, May 2013.
Paper # ISEC2013-7 
Date of Issue 2013-05-16 (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)
Download PDF ISEC2013-7

Conference Information
Committee ISEC  
Conference Date 2013-05-23 - 2013-05-23 
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 2013-05-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Improvement in Addition formula on Elliptic Curves 
Sub Title (in English)  
Keyword(1) elliptic curve cryptosystem  
Keyword(2) scalar multiplication  
Keyword(3) speeding up  
Keyword(4) bijective transform  
Keyword(5)  
Keyword(6)  
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1st Author's Name Yoshitaka Nagai  
1st Author's Affiliation Future University Hakodate (Future Univ. Hakodate)
2nd Author's Name Tetsuya Izu  
2nd Author's Affiliation Fujitsu Laboratories (Fujitsu Lab)
3rd Author's Name Masaaki Shirase  
3rd Author's Affiliation Future University Hakodate (Future Univ. Hakodate)
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Speaker Author-1 
Date Time 2013-05-23 15:35:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2013-7 
Volume (vol) vol.113 
Number (no) no.53 
Page pp.39-46 
#Pages 8 
Date of Issue 2013-05-16 (ISEC) 

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