Paper Abstract and Keywords |
Presentation |
2012-05-18 13:50
A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves Tadanori Teruya, Naoki Kanayama, Eiji Okamoto (Univ. of Tsukuba) ISEC2012-3 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we describe a design of efficient software implementation of the scalar multiplication over the subgroup, which is characterized as the p-th Frobenius endomorphism and the p-scalar multiplication are identical, of Barreto-Naehrig curves defined over prime field with characteristic p. We implement the simultaneous multiple point multiplication based on the Gallant-Lambert-Vanstone method, and optimize the integer decomposition and the scalar multiplication based on the calculation times of the field arithmetic. We achieved 40% of calculation time of the binary method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
scalar multiplication / Barreto-Naehrig curve / software implementation / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 39, ISEC2012-3, pp. 11-18, May 2012. |
Paper # |
ISEC2012-3 |
Date of Issue |
2012-05-11 (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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ISEC2012-3 |
Conference Information |
Committee |
ISEC |
Conference Date |
2012-05-18 - 2012-05-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2012-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves |
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Keyword(1) |
scalar multiplication |
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Barreto-Naehrig curve |
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software implementation |
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1st Author's Name |
Tadanori Teruya |
1st Author's Affiliation |
University of Tsukuba (Univ. of Tsukuba) |
2nd Author's Name |
Naoki Kanayama |
2nd Author's Affiliation |
University of Tsukuba (Univ. of Tsukuba) |
3rd Author's Name |
Eiji Okamoto |
3rd Author's Affiliation |
University of Tsukuba (Univ. of Tsukuba) |
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Speaker |
Author-1 |
Date Time |
2012-05-18 13:50:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2012-3 |
Volume (vol) |
vol.112 |
Number (no) |
no.39 |
Page |
pp.11-18 |
#Pages |
8 |
Date of Issue |
2012-05-11 (ISEC) |
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