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Paper Abstract and Keywords
Presentation 2009-11-12 14:45
A Construction of A New Class of Non-Linear Product-Sum-Type Public-Key Cryptosystem
Masao Kasahara (Osaka Gakuin Univ.) ISEC2009-54 LOIS2009-43
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper we propose a new class of PKC, referred to as K(V)PKC. In K(V)PKC, the ciphertext in a polynomial form is added with another message polynomial raised to e-th power.
We show that our proposed scheme can be secure against the various attacks. In K(V)PKC, the number of the variables can be made sufficiently large keeping the size of public key reasonable one, while the structure of the ciphertext is essentially same as that of the multivariate PKC. Thus K(V)PKC can be secure against the attack based on the Gr\"obner basis calculation (GB attack), LLL attack, etc. We shall show that a member of the class of K(V)PKC, referred to as K$^*$(V)PKC has the remarkable features such that the disclosure of the secret keys from the set of public key is a contradiction from the standpoint of the information theory.
Keyword (in Japanese) (See Japanese page) 
(in English) Public-key cryptosystem / Gr\"obner basis / multi variate cryptosystem / product-sum-type cryptosystem / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 271, ISEC2009-54, pp. 23-27, Nov. 2009.
Paper # ISEC2009-54 
Date of Issue 2009-11-05 (ISEC, LOIS) 
ISSN Print edition: ISSN 0913-5685    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)
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Conference Information
Committee ISEC LOIS  
Conference Date 2009-11-12 - 2009-11-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Gifu Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2009-11-ISEC-LOIS 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Construction of A New Class of Non-Linear Product-Sum-Type Public-Key Cryptosystem 
Sub Title (in English)  
Keyword(1) Public-key cryptosystem  
Keyword(2) Gr\"obner basis  
Keyword(3) multi variate cryptosystem  
Keyword(4) product-sum-type cryptosystem  
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1st Author's Name Masao Kasahara  
1st Author's Affiliation Osaka Gakuin University (Osaka Gakuin Univ.)
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Speaker Author-1 
Date Time 2009-11-12 14:45:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2009-54, LOIS2009-43 
Volume (vol) vol.109 
Number (no) no.271(ISEC), no.272(LOIS) 
Page pp.23-27 
#Pages 5 
Date of Issue 2009-11-05 (ISEC, LOIS) 

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