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Paper Abstract and Keywords
Presentation 2008-09-12 13:00
New Classes of Public Key Cryptosystems Constructed on the Basis of Low-Density Multivariate Polynomials -- Along with K(I) Knapsack Scheme --
Masao Kasahara (Osaka Gakuin Univ.) ISEC2008-63
Abstract (in Japanese) (See Japanese page) 
(in English) Extensive studies have been made of the public key cryptosystems based on multivariate polynomials over $\mathbb{F}_{2}$ and also $\mathbb{F}_{2^m}$. However most of the proposed public key cryptosystems based on multivariate polynomials, are proved not secure. In this paper, we construct random multivariate polynomials with relatively small number of terms which will be referred to as low-density multivariate polynomials. We show that the proposed scheme referred to as \mname{V} can be secure against the possible attacks, particularly Gr\"obner basis attack. In Appendix, we present a new cryptographic scheme, referred to as K(I)$\cdot$Knapsack Scheme that can be applied to a wide class of knapsack PKCs.
Keyword (in Japanese) (See Japanese page) 
(in English) Public key cryptosystem / Multivariate polynomials / Gr\"obner basis attack / Multivariate PKC / K(I) \cdot Knapsack Scheme / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 207, ISEC2008-63, pp. 1-7, Sept. 2008.
Paper # ISEC2008-63 
Date of Issue 2008-09-05 (ISEC) 
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  
Conference Date 2008-09-12 - 2008-09-12 
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 2008-09-ISEC 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) New Classes of Public Key Cryptosystems Constructed on the Basis of Low-Density Multivariate Polynomials 
Sub Title (in English) Along with K(I) Knapsack Scheme 
Keyword(1) Public key cryptosystem  
Keyword(2) Multivariate polynomials  
Keyword(3) Gr\"obner basis attack  
Keyword(4) Multivariate PKC  
Keyword(5) K(I) \cdot Knapsack Scheme  
Keyword(6)  
Keyword(7)  
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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 2008-09-12 13:00:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2008-63 
Volume (vol) vol.108 
Number (no) no.207 
Page pp.1-7 
#Pages 7 
Date of Issue 2008-09-05 (ISEC) 

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