Information: Join today and make your research activities more affordable! Technical workshop participation fees and annual registration fees are available at member rates.
Notice: [Important] Announcement of Changes to Registration Fee Payment and Manuscript Upload Procedures for IEICE Technical Meetings
IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2007-07-20 13:50
Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography
Erik Dahmen (TUDarmstadt), Katsuyuki Okeya (Hitachi), Daniel Schepers (TUDarmstadt) ISEC2007-57
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents a new approach to precompute all odd points [3]P, [5]P,..., [2k-1]P, k >= 2 on an elliptic curve over Fp. Those points are required for the efficient evaluation of a scalar multiplication, the most important operation in elliptic curve cryptography. The proposed method precomputes the points in affine coordinates and needs only one single field inversion for the computation. The new method is superior to all known methods that also use one field inversion. Compared to methods that require several field inversions for the precomputation, the proposed method is faster for a broad range of ratios of field inversions and field multiplications. The proposed method benefits especially from ratios as they occur on smart cards.
Keyword (in Japanese) (See Japanese page) 
(in English) affine coordinates / elliptic curve cryptosystem / precomputation / scalar multiplication / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 141, ISEC2007-57, pp. 81-88, July 2007.
Paper # ISEC2007-57 
Date of Issue 2007-07-13 (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 ISEC2007-57

Conference Information
Committee ISEC SITE IPSJ-CSEC  
Conference Date 2007-07-19 - 2007-07-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Future University-Hakodate 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2007-07-ISEC-SITE-IPSJ-CSEC 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography 
Sub Title (in English)  
Keyword(1) affine coordinates  
Keyword(2) elliptic curve cryptosystem  
Keyword(3) precomputation  
Keyword(4) scalar multiplication  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Erik Dahmen  
1st Author's Affiliation Technische Universit¨at Darmstadt (TUDarmstadt)
2nd Author's Name Katsuyuki Okeya  
2nd Author's Affiliation Hitachi, Ltd., Systems Development Laboratory (Hitachi)
3rd Author's Name Daniel Schepers  
3rd Author's Affiliation Technische Universit¨at Darmstadt (TUDarmstadt)
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
21st Author's Name  
21st Author's Affiliation ()
22nd Author's Name  
22nd Author's Affiliation ()
23rd Author's Name  
23rd Author's Affiliation ()
24th Author's Name  
24th Author's Affiliation ()
25th Author's Name  
25th Author's Affiliation ()
26th Author's Name / /
26th Author's Affiliation ()
()
27th Author's Name / /
27th Author's Affiliation ()
()
28th Author's Name / /
28th Author's Affiliation ()
()
29th Author's Name / /
29th Author's Affiliation ()
()
30th Author's Name / /
30th Author's Affiliation ()
()
31st Author's Name / /
31st Author's Affiliation ()
()
32nd Author's Name / /
32nd Author's Affiliation ()
()
33rd Author's Name / /
33rd Author's Affiliation ()
()
34th Author's Name / /
34th Author's Affiliation ()
()
35th Author's Name / /
35th Author's Affiliation ()
()
36th Author's Name / /
36th Author's Affiliation ()
()
Speaker Author-2 
Date Time 2007-07-20 13:50:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2007-57 
Volume (vol) vol.107 
Number (no) no.141 
Page pp.81-88 
#Pages 8 
Date of Issue 2007-07-13 (ISEC) 

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan