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Paper Abstract and Keywords
Presentation 2004-11-08 15:55
A Threshold Cryptosystem Based on the Paillier's Encryption
Takeru Ishihara, Hiroshi Aono, Sadayuki Hongo (NTT DoCoMo), Junji Shikata (Yokohama National univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) The threshold cryptosystem is a threshold distributed version of the
public key cryptosystem.
The threshold cryptosystem is useful to control
secret key in a distributed manner.
Fouque et al. proposed a threshold distributed version
of the Paillier's cryptosystem whose security depends on the integer factoring problem.
However, in the scheme, there is powering calculation which cannot be computed beforehand.
We propose two threshold cryptosystems based on the
idea in a paper by Shoup et al.
The first scheme is proven to be IND-TCPA
in the random oracle model
under
Partial Discrete Logarithm Assumption.
The second one is shown to be IND-TCCA in the random oracle model
under Decisional Small Diffie-Hellman Assumption.

In addition, our schemes have advantages over those by Fouque et al. in that
: (1) we can compute power calculation beforehand in the encryption
; (2) the number of private keys in our scheme can be reduced to half of that of the Fouque et al. schemes.
Keyword (in Japanese) (See Japanese page) 
(in English) Threshold Cryptosystem / Paillier's Cryptosystem / Secret Sharing Scheme / / / / /  
Reference Info. IEICE Tech. Rep., vol. 104, no. 421, ISEC2004-83, pp. 35-41, Nov. 2004.
Paper # ISEC2004-83 
Date of Issue 2004-11-01 (ISEC, OIS) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee ISEC LOIS  
Conference Date 2004-11-08 - 2004-11-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2004-11-ISEC-OIS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Threshold Cryptosystem Based on the Paillier's Encryption 
Sub Title (in English)  
Keyword(1) Threshold Cryptosystem  
Keyword(2) Paillier's Cryptosystem  
Keyword(3) Secret Sharing Scheme  
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1st Author's Name Takeru Ishihara  
1st Author's Affiliation NTT DoCoMo,Inc (NTT DoCoMo)
2nd Author's Name Hiroshi Aono  
2nd Author's Affiliation NTT DoCoMo,Inc (NTT DoCoMo)
3rd Author's Name Sadayuki Hongo  
3rd Author's Affiliation NTT DoCoMo,Inc (NTT DoCoMo)
4th Author's Name Junji Shikata  
4th Author's Affiliation Yokohama National University (Yokohama National univ.)
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Speaker Author-1 
Date Time 2004-11-08 15:55:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2004-83, OIS2004-50 
Volume (vol) vol.104 
Number (no) no.421(ISEC), no.423(OIS) 
Page pp.35-41 
#Pages
Date of Issue 2004-11-01 (ISEC, OIS) 


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