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Paper Abstract and Keywords
Presentation 2007-09-07 15:45
An Approach to Duality in Public Key Cryptosystems
Kazuo Ohta (UEC), Yuichi Komano (Toshiba), Yutaka Kawai (UEC), Shinichi Kawamura (Toshiba) ISEC2007-87
Abstract (in Japanese) (See Japanese page) 
(in English) The security of cryptosystems is formalized by the combination of adversarial goal GOAL and attack model ATK. Paillier and Villar proved the impossible results that single key factoring-based encryption schemes are not proven to be IND-CCA secure, by using the meta reduction technique under the assumption of the KPBB reduction. In this report, we first point out that the meta reduction constructed by Paillier and Villar is not strict enough; namely, their discussion on the impossible results is not tight. We then propose the canonical meta reductions} which are effective for the tight proof of the impossible results, and formulate the canonical relations (the duality) between GOAL and ATK of well known attacks and goals, naturally derived from the canonical reductions. Finally, we give the proof of the impossibility results of each GOAL-ATK which satisfy the duality. These impossible results for single key factoring based encryption schemes are tighter than the results by Paillier and Villar.
Keyword (in Japanese) (See Japanese page) 
(in English) adversarial goal / attack model / meta reduction technique / duality / incompatibility / impossibility / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 209, ISEC2007-87, pp. 99-106, Sept. 2007.
Paper # ISEC2007-87 
Date of Issue 2007-08-31 (ISEC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 2007-09-07 - 2007-09-07 
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 2007-09-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Approach to Duality in Public Key Cryptosystems 
Sub Title (in English)  
Keyword(1) adversarial goal  
Keyword(2) attack model  
Keyword(3) meta reduction technique  
Keyword(4) duality  
Keyword(5) incompatibility  
Keyword(6) impossibility  
Keyword(7)  
Keyword(8)  
1st Author's Name Kazuo Ohta  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Yuichi Komano  
2nd Author's Affiliation Corporate Research & Development Center, Toshiba Corporation (Toshiba)
3rd Author's Name Yutaka Kawai  
3rd Author's Affiliation The University of Electro-Communications (UEC)
4th Author's Name Shinichi Kawamura  
4th Author's Affiliation Corporate Research & Development Center, Toshiba Corporation (Toshiba)
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Speaker Author-3 
Date Time 2007-09-07 15:45:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2007-87 
Volume (vol) vol.107 
Number (no) no.209 
Page pp.99-106 
#Pages
Date of Issue 2007-08-31 (ISEC) 


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