Paper Abstract and Keywords |
Presentation |
2019-03-07 11:20
A Consideration of the Properties of Edwards Curve Whose Order is a Power of 2 Hiromasa Miura, Kazuya Kobayashi, Takuya Kusaka, Yasuyuki Nogami (Okayama Univ.) IT2018-79 ISEC2018-85 WBS2018-80 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Based on the proposal of pairing-based cryptography, ID-based cryptography, searchable cryptography, and attribute-based cryptography which could not be done by conventional cryptography are proposed. The efficiency of encryption and decryption in these cryptographies depend on the computational cost of scalar multiplication for points of the elliptic curve over a finite field. They will be improved by efficient scalar multiplication. Therefore, we consider on mapping from the pairing-friendly curve (BLS curve) to Twisted Edwards curve which has low-cost scalar multiplication in order to improve them. In this case, the Twisted Edwards curve has special parameters,sosomepointscannotbedefinedandtherearepointswhichcannotapplygeneralellipticcurveaddition or elliptic curve doubling. In this paper, we derive the Twisted Edwards curve with parameters that ECA and ECD are applied for all rational points when the order is a power of 2. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
BLS curve / Twisted Edwards curve / elliptic curve addition / elliptic curve doubling / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 478, ISEC2018-85, pp. 27-32, March 2019. |
Paper # |
ISEC2018-85 |
Date of Issue |
2019-02-28 (IT, ISEC, WBS) |
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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IT2018-79 ISEC2018-85 WBS2018-80 |
Conference Information |
Committee |
IT ISEC WBS |
Conference Date |
2019-03-07 - 2019-03-08 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
University of Electro-Communications |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
ISEC |
Conference Code |
2019-03-IT-ISEC-WBS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Consideration of the Properties of Edwards Curve Whose Order is a Power of 2 |
Sub Title (in English) |
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Keyword(1) |
BLS curve |
Keyword(2) |
Twisted Edwards curve |
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elliptic curve addition |
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elliptic curve doubling |
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1st Author's Name |
Hiromasa Miura |
1st Author's Affiliation |
Okayama University (Okayama Univ.) |
2nd Author's Name |
Kazuya Kobayashi |
2nd Author's Affiliation |
Okayama University (Okayama Univ.) |
3rd Author's Name |
Takuya Kusaka |
3rd Author's Affiliation |
Okayama University (Okayama Univ.) |
4th Author's Name |
Yasuyuki Nogami |
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Okayama University (Okayama Univ.) |
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Speaker |
Author-1 |
Date Time |
2019-03-07 11:20:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
IT2018-79, ISEC2018-85, WBS2018-80 |
Volume (vol) |
vol.118 |
Number (no) |
no.477(IT), no.478(ISEC), no.479(WBS) |
Page |
pp.27-32 |
#Pages |
6 |
Date of Issue |
2019-02-28 (IT, ISEC, WBS) |
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