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Paper Abstract and Keywords
Presentation 2021-11-12 13:25
Zero-Knowledge Proof of Isolation in Graph with Strong Secrecy
Tomoki Murakami, Toru Nakanishi, Katsunobu Imai (Hiroshima Univ.) ISEC2021-42 SITE2021-36 LOIS2021-25
Abstract (in Japanese) (See Japanese page) 
(in English) Network systems can be represented using graphs. What is important for a tenant is that his system is well connected (connectivity) and that his system is separated from other tenants (isolation). There is a demand for a method of confirming the connectivity and isolation to tenants without disclosing the network topology. As a solution, an RSA-based zero-knowledge proof scheme for a graph has been proposed. On the other hand, a scheme using a pairing-based accumulator has been proposed, where the proof size and the verification time do not depend on the total number of all vertexes and edges. However, in the scheme, the number of connected components was disclosed in the proof of isolation. Therefore, in this study, we propose a zero-knowledge proof scheme for isolation with the stronger secrecy by extending the previous pairing-based scheme. Then we implement the proposed scheme on a PC and evaluate it by measuring the processing time.
Keyword (in Japanese) (See Japanese page) 
(in English) zero-knowledge proof / graphs / accumulator / pairing / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 239, ISEC2021-42, pp. 7-12, Nov. 2021.
Paper # ISEC2021-42 
Date of Issue 2021-11-05 (ISEC, SITE, LOIS) 
ISSN Online edition: ISSN 2432-6380
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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 ISEC2021-42 SITE2021-36 LOIS2021-25

Conference Information
Committee SITE ISEC LOIS  
Conference Date 2021-11-12 - 2021-11-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2021-11-SITE-ISEC-LOIS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Zero-Knowledge Proof of Isolation in Graph with Strong Secrecy 
Sub Title (in English)  
Keyword(1) zero-knowledge proof  
Keyword(2) graphs  
Keyword(3) accumulator  
Keyword(4) pairing  
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1st Author's Name Tomoki Murakami  
1st Author's Affiliation Hiroshima University (Hiroshima Univ.)
2nd Author's Name Toru Nakanishi  
2nd Author's Affiliation Hiroshima University (Hiroshima Univ.)
3rd Author's Name Katsunobu Imai  
3rd Author's Affiliation Hiroshima University (Hiroshima Univ.)
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Speaker Author-1 
Date Time 2021-11-12 13:25:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2021-42, SITE2021-36, LOIS2021-25 
Volume (vol) vol.121 
Number (no) no.239(ISEC), no.240(SITE), no.241(LOIS) 
Page pp.7-12 
#Pages
Date of Issue 2021-11-05 (ISEC, SITE, LOIS) 


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