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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
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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Conference Information
Committee ICSS IPSJ-SPT  
Conference Date 2024-03-21 - 2024-03-22 
Place (in Japanese) (See Japanese page) 
Place (in English) OIST 
Topics (in Japanese) (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 
Sub Title (in English)  
Keyword(1) elliptic curve  
Keyword(2) scalar multiplication  
Keyword(3) side-channel attack  
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 Author-1 
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 
Date of Issue 2024-03-14 (ICSS) 

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