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Paper Abstract and Keywords
Presentation 2016-09-02 13:25
An Homomorphic Encryption based on some kind of Indeterminate Equations
Koichiro Akiyama (Toshiba), Yasuhiro Goto (HUE), Shinya Okumura (ISIT), Tsuyoshi Takagi (Kyushu Univ.), Koji Nuida, Goichiro Hanaoka (AIST) ISEC2016-43
Abstract (in Japanese) (See Japanese page) 
(in English) Authors propose a homomorphic public-key encryption whose security is based on a LWE-like problem related to indeterminate equations. By using our system, one can calculate addition and multiplication of the integer in encrypted state. Our system requires shortest key in size among the conventional homomorphic public-key encryption with same properties. In this paper, we show the basic algorithms including encrypt/decrypt, key generation and homomorphic calculations, and a security assumption. We also evaluate the size of keys from recommended parameters which are lead from the result of the computational experiment for some attacks against the assumption.
Keyword (in Japanese) (See Japanese page) 
(in English) Homomorphic Encryption / Indeterminate Equation / Post-Quantum Cryptography / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 207, ISEC2016-43, pp. 27-34, Sept. 2016.
Paper # ISEC2016-43 
Date of Issue 2016-08-26 (ISEC) 
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)
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Conference Information
Committee ISEC  
Conference Date 2016-09-02 - 2016-09-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2016-09-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Homomorphic Encryption based on some kind of Indeterminate Equations 
Sub Title (in English)  
Keyword(1) Homomorphic Encryption  
Keyword(2) Indeterminate Equation  
Keyword(3) Post-Quantum Cryptography  
1st Author's Name Koichiro Akiyama  
1st Author's Affiliation Toshiba Corporation (Toshiba)
2nd Author's Name Yasuhiro Goto  
2nd Author's Affiliation Hokkaido University of Education (HUE)
3rd Author's Name Shinya Okumura  
3rd Author's Affiliation Institute of Systems, Information Technologies and Nanotechnologies (ISIT)
4th Author's Name Tsuyoshi Takagi  
4th Author's Affiliation Kyushu University (Kyushu Univ.)
5th Author's Name Koji Nuida  
5th Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
6th Author's Name Goichiro Hanaoka  
6th Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
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Speaker Author-1 
Date Time 2016-09-02 13:25:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2016-43 
Volume (vol) vol.116 
Number (no) no.207 
Page pp.27-34 
Date of Issue 2016-08-26 (ISEC) 

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