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Paper Abstract and Keywords
Presentation 2025-08-05 15:20
Latin cubes for (3,n) threshold scheme and property of matrices
Yuuki Nozawa, Tomoko Adachi (SIST) IT2025-24
Abstract (in Japanese) (See Japanese page) 
(in English) From such a matrix M that has certain characteristics on linear independence, we can construct mutually orthogonal Latin cubes. We can construct an orthogonal array from mutually orthogonal Latin cubes, and we can construct a secret sharing scheme from the orthogonal array. If we can find such a matrix M of size u×3 that has certain characteristics, we can construct a (3,n) threshold scheme with the number of participants n=u-1. In this study, we find such a matrix M of size u×3 that has certain in GF(3) and GF(5), and investigate the property of such matrices M. Moreover, we construct mutually orthogonal Latin cubes, and construct the (3,n) threshold scheme. We obtain the property of matrices M in GF(3), and we will talk about our results at FIT2025. Furthermore, we obtain the property of matrices M in GF(5), and we present our results in this paper.
Keyword (in Japanese) (See Japanese page) 
(in English) Latin cube / Secret Sharing Scheme / Threshold Scheme / / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 145, IT2025-24, pp. 30-35, Aug. 2025.
Paper # IT2025-24 
Date of Issue 2025-07-29 (IT) 
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 IT2025-24

Conference Information
Committee IT  
Conference Date 2025-08-05 - 2025-08-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo Kosen 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Freshman session, General 
Paper Information
Registration To IT 
Conference Code 2025-08-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Latin cubes for (3,n) threshold scheme and property of matrices 
Sub Title (in English)  
Keyword(1) Latin cube  
Keyword(2) Secret Sharing Scheme  
Keyword(3) Threshold Scheme  
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1st Author's Name Yuuki Nozawa  
1st Author's Affiliation Shizuoka Institute of Science and Technology (SIST)
2nd Author's Name Tomoko Adachi  
2nd Author's Affiliation Shizuoka Institute of Science and Technology (SIST)
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Speaker Author-1 
Date Time 2025-08-05 15:20:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2025-24 
Volume (vol) vol.125 
Number (no) no.145 
Page pp.30-35 
#Pages 6 
Date of Issue 2025-07-29 (IT) 

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