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Paper Abstract and Keywords
Presentation 0000-00-00 00:00
A consideration on the generation of algebraic surfaces that can evaluate the computational complexity of section-finding problem
Kosuke Sakata (UTokyo), Koichiro Akiyama (Toshiba) IT2023-98 ISEC2023-97 WBS2023-86 RCC2023-80
Abstract (in Japanese) (See Japanese page) 
(in English) We report that a method for generating algebraic surfaces, theoretically evaluable for the computational complexity of the section-finding problem on algebraic surfaces, which forms the basis for the security of the indeterminate equation cryptsystem.
The computational complexity of the section-finding problem depends on the computational complexity of the system of the quadratic multivariate equations (MQ Problem).
The computational complexity of the MQ problem can be derived by satisfying the property called semi-regular.
With the proposed generation method of algebraic surfaces in this paper, the section-finding problem is reduced to a semi-regular MQ problem with an extremely high probability.
Keyword (in Japanese) (See Japanese page) 
(in English) Indeterminate equation cryptosystem / Algebraic surface / Section-finding problem / Post-quantum Cryptosystem / Computational complexity / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 424, ISEC2023-97, pp. 150-157, March 2024.
Paper # ISEC2023-97 
Date of Issue 2024-03-06 (IT, ISEC, WBS, RCC) 
ISSN Online edition: ISSN 2432-6380
Copyright
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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 IT2023-98 ISEC2023-97 WBS2023-86 RCC2023-80

Conference Information
Committee RCC ISEC IT WBS  
Conference Date 2024-03-13 - 2024-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ. (Suita Campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) RCC, ISEC, IT, WBS 
Paper Information
Registration To ISEC 
Conference Code 2024-03-RCC-ISEC-IT-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A consideration on the generation of algebraic surfaces that can evaluate the computational complexity of section-finding problem 
Sub Title (in English)  
Keyword(1) Indeterminate equation cryptosystem  
Keyword(2) Algebraic surface  
Keyword(3) Section-finding problem  
Keyword(4) Post-quantum Cryptosystem  
Keyword(5) Computational complexity  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Kosuke Sakata  
1st Author's Affiliation The University of Tokyo (UTokyo)
2nd Author's Name Koichiro Akiyama  
2nd Author's Affiliation Toshiba Corporation (Toshiba)
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Speaker Author-1 
Date Time 0000-00-00 00:00:00 
Presentation Time minutes 
Registration for ISEC 
Paper # IT2023-98, ISEC2023-97, WBS2023-86, RCC2023-80 
Volume (vol) vol.123 
Number (no) no.423(IT), no.424(ISEC), no.425(WBS), no.426(RCC) 
Page pp.150-157 
#Pages 8 
Date of Issue 2024-03-06 (IT, ISEC, WBS, RCC) 

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