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Paper Abstract and Keywords
Presentation 2023-03-14 09:00
Proposal of operation oplus on positive rational numbers compatible with the 2nd-Me scalar multiplication -- Similar construction of an elliptic curve signature by the 2nd-Me scalar multiplication --
Masaaki Shirase (FUN) IT2022-72 ISEC2022-51 WBS2022-69 RCC2022-69
Abstract (in Japanese) (See Japanese page) 
(in English) The 2nd-Me scalar multiple $P_{n,Z}^{II}$ can be defined
for points $P,Z in E(F_p)$ of an elliptic curve over a finite field $E/F_p$
and a positive rational number $n$.
This report proposes an operation $n oplus m$ on positive rational numbers
that satisfies $P_{n oplus m,Z}^{II} = P_{n,Z}^{II} oplus P_{m,Z}^{II}$.
This property allows us to construct an analogy to an elliptic curve signature
using by the 2nd-Me scalar multiplication, which we call the {it naive MeDSA}.
The naive MeDSA has a vulnerability that a third party who obtains a valid signature $(u,v)$ has
a 50% probability of forging the signature for any message.
Note that this forged signature is in the form of $(u,v')$.
This report also discusses countermeasures for the vulnerability.
Keyword (in Japanese) (See Japanese page) 
(in English) Elliptic curve / Me operation / Rational number / Digital signature / ECDSA / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 428, ISEC2022-51, pp. 25-32, March 2023.
Paper # ISEC2022-51 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 
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 IT2022-72 ISEC2022-51 WBS2022-69 RCC2022-69

Conference Information
Committee RCC ISEC IT WBS  
Conference Date 2023-03-14 - 2023-03-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To ISEC 
Conference Code 2023-03-RCC-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Proposal of operation oplus on positive rational numbers compatible with the 2nd-Me scalar multiplication 
Sub Title (in English) Similar construction of an elliptic curve signature by the 2nd-Me scalar multiplication 
Keyword(1) Elliptic curve  
Keyword(2) Me operation  
Keyword(3) Rational number  
Keyword(4) Digital signature  
Keyword(5) ECDSA  
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1st Author's Name Masaaki Shirase  
1st Author's Affiliation Future University Hakodate (FUN)
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Speaker Author-1 
Date Time 2023-03-14 09:00:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2022-72, ISEC2022-51, WBS2022-69, RCC2022-69 
Volume (vol) vol.122 
Number (no) no.427(IT), no.428(ISEC), no.429(WBS), no.430(RCC) 
Page pp.25-32 
#Pages 8 
Date of Issue 2023-03-07 (IT, ISEC, WBS, RCC) 

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