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| Presentation | 2020-07-21 16:35 Secure and Compact Elliptic Curve LR Scalar Multiplication Yaoan Jin, Atsuko Miyaji (Osaka Univ)  ISEC2020-31 SITE2020-28 BioX2020-34 HWS2020-24 ICSS2020-18 EMM2020-28 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Elliptic curve cryptography (ECC) can ensure an equivalent security with much smaller key sizes. Elliptic curve scalar multiplication (ECSM) is a fundamental computation used in ECC. This paper focuses on ECSM resisting simple power attack and safe error attack of side-channel attack specifically. Elliptic curve complete addition (CA) formulae can achieve secure ECSM algorithms but are inefficient from memory and computational cost perspectives. Another secure ECSM, which uses (extended) affine, is more efficient for both memory and computational costs. However, it scans input scalars from right to left. In this paper, our developed scalar multiplication algorithms also use their extended affine, but scan from left to right (LR). We also prove the security of our LR ECSM algorithms and analyze them both theoretically and experimentally. Our new LR ECSM algorithms can reduce the amount of memory by 37.5% and reduce the computational time by more than 40% compared to Joye’s regular 2-ary LR algorithm with CA formulae. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Elliptic curve scalar multiplication / Side-channel attack / Inversion reduction / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 112, ISEC2020-31, pp. 111-118, July 2020. | |
| Paper # | ISEC2020-31 | |
| Date of Issue | 2020-07-13 (ISEC, SITE, BioX, HWS, ICSS, EMM) | |
| ISSN | 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 | ISEC2020-31 SITE2020-28 BioX2020-34 HWS2020-24 ICSS2020-18 EMM2020-28 |
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| Conference Information | |
| Committee | SITE ISEC HWS EMM BioX IPSJ-CSEC IPSJ-SPT ICSS |
| Conference Date | 2020-07-20 - 2020-07-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Security, etc. |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2020-07-SITE-ISEC-HWS-EMM-BioX-CSEC-SPT-ICSS |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Secure and Compact Elliptic Curve LR Scalar Multiplication |
| Sub Title (in English) | |
| Keyword(1) | Elliptic curve scalar multiplication |
| Keyword(2) | Side-channel attack |
| Keyword(3) | Inversion reduction |
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| 1st Author's Name | Yaoan Jin |
| 1st Author's Affiliation | Osaka University (Osaka Univ) |
| 2nd Author's Name | Atsuko Miyaji |
| 2nd Author's Affiliation | Osaka University (Osaka Univ) |
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| Speaker | Author-1 |
| Date Time | 2020-07-21 16:35:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2020-31, SITE2020-28, BioX2020-34, HWS2020-24, ICSS2020-18, EMM2020-28 |
| Volume (vol) | vol.120 |
| Number (no) | no.112(ISEC), no.113(SITE), no.114(BioX), no.115(HWS), no.116(ICSS), no.117(EMM) |
| Page | pp.111-118 |
| #Pages | 8 |
| Date of Issue | 2020-07-13 (ISEC, SITE, BioX, HWS, ICSS, EMM) |
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