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Paper Abstract and Keywords
Presentation 2014-07-03 14:40
A New Precomputation Method with Perfect Conjugate-Addition Sequence
Ryota Takahashi, Atsuko Miyaji (JAIST) ISEC2014-20 SITE2014-15 ICSS2014-24 EMM2014-20
Abstract (in Japanese) (See Japanese page) 
(in English) In elliptic curve cryptosystems, a scalar multiplication is the dominant computation.
For speeding up elliptic curve cryptosystems, it is indispensable to
improve a scalar multiplication. In this study, we propose the new method, called PCAS method,
which compute precomputation table of Frac-Window method. The previous work by Longa and Gebotys cite{LG}
uses a fast operation called Conjugate Addition to make a precomputation table.
Note that this method can compute a precomputation table by only Conjugate Addition if and only if the size of
precomputation table is $2^{n}$.
we improve this feature PCAS method can compute precomputation table by only Conjugate Addition for any size of
precomputation table.
Keyword (in Japanese) (See Japanese page) 
(in English) Eliptic curve cryptosystem / Scalar Multiplication / Frac-Window method / Precomputation table / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 115, ISEC2014-20, pp. 97-104, July 2014.
Paper # ISEC2014-20 
Date of Issue 2014-06-26 (ISEC, SITE, ICSS, EMM) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 ISEC2014-20 SITE2014-15 ICSS2014-24 EMM2014-20

Conference Information
Conference Date 2014-07-03 - 2014-07-04 
Place (in Japanese) (See Japanese page) 
Place (in English) San-Refure Hakodate 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Security 
Paper Information
Registration To ISEC 
Conference Code 2014-07-ICSS-ISEC-SITE-EMM-CSEC-SPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A New Precomputation Method with Perfect Conjugate-Addition Sequence 
Sub Title (in English)  
Keyword(1) Eliptic curve cryptosystem  
Keyword(2) Scalar Multiplication  
Keyword(3) Frac-Window method  
Keyword(4) Precomputation table  
1st Author's Name Ryota Takahashi  
1st Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
2nd Author's Name Atsuko Miyaji  
2nd Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Date Time 2014-07-03 14:40:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-ISEC2014-20,IEICE-SITE2014-15,IEICE-ICSS2014-24,IEICE-EMM2014-20 
Volume (vol) IEICE-114 
Number (no) no.115(ISEC), no.116(SITE), no.117(ICSS), no.118(EMM) 
Page pp.97-104 
#Pages IEICE-8 
Date of Issue IEICE-ISEC-2014-06-26,IEICE-SITE-2014-06-26,IEICE-ICSS-2014-06-26,IEICE-EMM-2014-06-26 

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