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Paper Abstract and Keywords
Presentation 2016-07-15 14:30
Algebraic Surface Cryptosystems using Polynomial Approximate GCD
Yuichi Komano, Koichiro Akiyama (Toshiba), Yasuhiro Goto (Hokkaido Univ. of Education), Koji Nuida, Goichiro Hanaoka (AIST) ISEC2016-35 SITE2016-29 ICSS2016-35 EMM2016-43
Abstract (in Japanese) (See Japanese page) 
(in English) Since the original proposal in 2004, several attacks have been reported against algebraic surface cryptosystems. This report proposes a new construction (possibly) resistant to these attacks. Achieving such resistance, our proposal adds a new low-degree random polynomial, in addition to another random polynomial as in the previous constructions. In decryption, a user uses a secret key (section on the algebraic surface) to remove the latter random polynomial and then he recovers a plaintext free from the former low-degree random polynomial by calculating polynomial approximate GCD. The security of our proposal is based on a decision problem defined in this report; however, the estimation of its difficulty still remains as a future work.
Keyword (in Japanese) (See Japanese page) 
(in English) post quantum cryptography / algebraic surface / polynomial approximate GCD / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 129, ISEC2016-35, pp. 217-222, July 2016.
Paper # ISEC2016-35 
Date of Issue 2016-07-07 (ISEC, SITE, ICSS, EMM) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 ISEC2016-35 SITE2016-29 ICSS2016-35 EMM2016-43

Conference Information
Conference Date 2016-07-14 - 2016-07-15 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English) security, etc 
Paper Information
Registration To ISEC 
Conference Code 2016-07-EMM-ISEC-SITE-ICSS-CSEC-SPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Algebraic Surface Cryptosystems using Polynomial Approximate GCD 
Sub Title (in English)  
Keyword(1) post quantum cryptography  
Keyword(2) algebraic surface  
Keyword(3) polynomial approximate GCD  
1st Author's Name Yuichi Komano  
1st Author's Affiliation Toshiba Corporation (Toshiba)
2nd Author's Name Koichiro Akiyama  
2nd Author's Affiliation Toshiba Corporation (Toshiba)
3rd Author's Name Yasuhiro Goto  
3rd Author's Affiliation Hokkaido University of Education (Hokkaido Univ. of Education)
4th Author's Name Koji Nuida  
4th Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
5th Author's Name Goichiro Hanaoka  
5th Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
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Date Time 2016-07-15 14:30:00 
Presentation Time 25 
Registration for ISEC 
Paper # IEICE-ISEC2016-35,IEICE-SITE2016-29,IEICE-ICSS2016-35,IEICE-EMM2016-43 
Volume (vol) IEICE-116 
Number (no) no.129(ISEC), no.130(SITE), no.131(ICSS), no.132(EMM) 
Page pp.217-222 
#Pages IEICE-6 
Date of Issue IEICE-ISEC-2016-07-07,IEICE-SITE-2016-07-07,IEICE-ICSS-2016-07-07,IEICE-EMM-2016-07-07 

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