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Paper Abstract and Keywords
Presentation 2025-03-06 09:40
Proposal of Interactive Zero-Knowledge Proof using Lattice-Based Polynomial Commitment
Toshiyuki Mineta, Yurie Okada, Akira Fujimoto (OU), Hideaki Miyaji (Ritsumei), Atsuko Miyaji (OU) IT2024-96 ISEC2024-110 WBS2024-93 RCC2024-98
Abstract (in Japanese) (See Japanese page) 
(in English) A zero-knowledge proof is a cryptographic scheme that can prove the truth of secret information possessed by a prover without disclosing its own secret information, and is used for various applications such as machine learning. A zero-knowledge proof can be realized by satisfying the three properties of completeness, soundness, and zero-knowledge, and many zero-knowledge proofs that satisfy post-quantum properties have been proposed. In 2024, Cini et al. constructed a polynomial commitment scheme based on SIS (Short Integer Solution), but it cannot guarantee the zero-knowledge property due to its complex mechanism. In this study, we propose an interactive zero-knowledge proof from the SIS-based polynomial commitment scheme. We also prove the property of zero-knowledge by proving the hiding property of the SIS-based polynomial commitment scheme constructed by Cini et al. Furthermore, by using the interactive zero-knowledge proofs constructed in our proposal, we realize a scheme applicable to post-quantum machine learning.
Keyword (in Japanese) (See Japanese page) 
(in English) polynomial commitment scheme / SIS / zero-knowledge proof / / / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 397, ISEC2024-110, pp. 151-157, March 2025.
Paper # ISEC2024-110 
Date of Issue 2025-02-26 (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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
Download PDF IT2024-96 ISEC2024-110 WBS2024-93 RCC2024-98

Conference Information
Committee WBS ISEC IT RCC  
Conference Date 2025-03-05 - 2025-03-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Nakanoshima Center, Osaka University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Joint Workshop of ISEC, IT, RCC, and WBS 
Paper Information
Registration To ISEC 
Conference Code 2025-03-WBS-ISEC-IT-RCC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Proposal of Interactive Zero-Knowledge Proof using Lattice-Based Polynomial Commitment 
Sub Title (in English)  
Keyword(1) polynomial commitment scheme  
Keyword(2) SIS  
Keyword(3) zero-knowledge proof  
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1st Author's Name Toshiyuki Mineta  
1st Author's Affiliation Osaka University (OU)
2nd Author's Name Yurie Okada  
2nd Author's Affiliation Osaka University (OU)
3rd Author's Name Akira Fujimoto  
3rd Author's Affiliation Osaka University (OU)
4th Author's Name Hideaki Miyaji  
4th Author's Affiliation Ritsumeikan University (Ritsumei)
5th Author's Name Atsuko Miyaji  
5th Author's Affiliation Osaka University (OU)
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Speaker Author-1 
Date Time 2025-03-06 09:40:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2024-96, ISEC2024-110, WBS2024-93, RCC2024-98 
Volume (vol) vol.124 
Number (no) no.396(IT), no.397(ISEC), no.398(WBS), no.399(RCC) 
Page pp.151-157 
#Pages 7 
Date of Issue 2025-02-26 (IT, ISEC, WBS, RCC) 

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