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Paper Abstract and Keywords
Presentation 2014-01-27 15:50
An Implementation of Elliptic Curve Scalar Multiplication with Improved Quadrupling of Rational Point
Gegerihu, Yasuyuki Nogami (Okayama Univ.), Masaaki Shirase (Future Univ. Hakodate) IT2013-53
Abstract (in Japanese) (See Japanese page) 
(in English) This paper introduces a fast implementation of elliptic curve scalar multiplication with an improved quadrupling in Jacobian coordinates, since one quadrupling is more efficient than two doublings for which the scalar needs to be represented in double-base chains form. For point additions, this paper applies coordinates conversion technique which can save one field multiplication in each term of point addition in Mixed coordinates. After that, some experimental results on 256 bit elliptic curve cryptography are shown.
Keyword (in Japanese) (See Japanese page) 
(in English) elliptic curve / scalar multiplication / quadrupling / coordinates conversion / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 411, IT2013-53, pp. 45-49, Jan. 2014.
Paper # IT2013-53 
Date of Issue 2014-01-20 (IT) 
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 IT2013-53

Conference Information
Committee IT  
Conference Date 2014-01-27 - 2014-01-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka City University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) general 
Paper Information
Registration To IT 
Conference Code 2014-01-IT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Implementation of Elliptic Curve Scalar Multiplication with Improved Quadrupling of Rational Point 
Sub Title (in English)  
Keyword(1) elliptic curve  
Keyword(2) scalar multiplication  
Keyword(3) quadrupling  
Keyword(4) coordinates conversion  
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1st Author's Name Gegerihu  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Yasuyuki Nogami  
2nd Author's Affiliation Okayama University (Okayama Univ.)
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 2014-01-27 15:50:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2013-53 
Volume (vol) vol.113 
Number (no) no.411 
Page pp.45-49 
#Pages 5 
Date of Issue 2014-01-20 (IT) 

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