Paper Abstract and Keywords |
Presentation |
2024-03-22 11:45
Fast and Secure Scalar Multiplication for the GLS254 Binary Elliptic Curve Ryosuke Kido, Atsuko Miyaji (OU) ICSS2023-94 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Elliptic curve cryptosystems (ECCs) are cryptographic schemes based on the discrete logarithm problem on an elliptic curve. ECCs are that it can achieve the necessary security with a short key size compared to other cryptographic schemes. Therefore, it is expected to be used in IoT devices that cannot use large memory, but more compact and efficient cryptography is needed to further improve performance. Scalar multiplication, the main operation in ECCs, must be made more efficient while providing side-channel attack (SCA) resistance. Elliptic curve GLS254 defined on a finite field of characteristic 2 has an endomorphism that can be efficiently computed, contributing to efficient scalar multiplication. A secure scalar multiplication using $(x,s)$ coordinates which can define an addition formula with no exception points has been proposed for GLS254. In this study, we propose a secure and faster method for GLS254 by focusing on the addition formulae and its coordinate system. The result is a method that is faster than the existing scalar multiplication algorithm by $7.1%$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
elliptic curve / scalar multiplication / side-channel attack / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 123, no. 448, ICSS2023-94, pp. 180-187, March 2024. |
Paper # |
ICSS2023-94 |
Date of Issue |
2024-03-14 (ICSS) |
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) |
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ICSS2023-94 |
Conference Information |
Committee |
ICSS IPSJ-SPT |
Conference Date |
2024-03-21 - 2024-03-22 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
OIST |
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(See Japanese page) |
Topics (in English) |
Security, Trust, etc. |
Paper Information |
Registration To |
ICSS |
Conference Code |
2024-03-ICSS-SPT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Fast and Secure Scalar Multiplication for the GLS254 Binary Elliptic Curve |
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elliptic curve |
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scalar multiplication |
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side-channel attack |
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1st Author's Name |
Ryosuke Kido |
1st Author's Affiliation |
Osaka University (OU) |
2nd Author's Name |
Atsuko Miyaji |
2nd Author's Affiliation |
Osaka University (OU) |
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Speaker |
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Date Time |
2024-03-22 11:45:00 |
Presentation Time |
25 minutes |
Registration for |
ICSS |
Paper # |
ICSS2023-94 |
Volume (vol) |
vol.123 |
Number (no) |
no.448 |
Page |
pp.180-187 |
#Pages |
8 |
Date of Issue |
2024-03-14 (ICSS) |
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