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Paper Abstract and Keywords
Presentation 2006-03-23 15:05
Improvement of the Round Complexity of Perfectly Concealing Bit Commitment Schemes
Yoshiharu Seri, Takeshi Koshiba (Saitama Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) We improve the upper bound on the round complexity for perfectly concealing bit commitment schemes based on the general computational assumption. The best known scheme is the one-way permutation based scheme due to Naor, Ostrovsky, Venkatesan and Yung and its round complexity is O(n). We consider a naive parallel version of their scheme of the multiplicity log(n) and obtain an O(n/log(n))-round scheme. Our improvement answers a question, raised by them, whether their O(n)-round scheme is essential with respect to the round complexity. Though such a parallelization raises an analytic difficulty, we introduce a new analysis technique and then overcome the difficulty. Our technique copes with expected almost pairwise independent random variables instead of the pairwise independence, which is a key property in their analysis. While the expected almost pairwise independence plays an important role in our security proof, it also provides alternative security proof for the original scheme.
Keyword (in Japanese) (See Japanese page) 
(in English) bit commitment / computational binding / one-way permutation / perfect concealing / round complexity / zero-knowledge argument / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 680, COMP2005-68, pp. 39-46, March 2006.
Paper # COMP2005-68 
Date of Issue 2006-03-16 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2006-03-22 - 2006-03-23 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2006-03-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Improvement of the Round Complexity of Perfectly Concealing Bit Commitment Schemes 
Sub Title (in English)  
Keyword(1) bit commitment  
Keyword(2) computational binding  
Keyword(3) one-way permutation  
Keyword(4) perfect concealing  
Keyword(5) round complexity  
Keyword(6) zero-knowledge argument  
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Keyword(8)  
1st Author's Name Yoshiharu Seri  
1st Author's Affiliation Saitama Univeristy (Saitama Univ.)
2nd Author's Name Takeshi Koshiba  
2nd Author's Affiliation Saitama Univeristy (Saitama Univ.)
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Speaker
Date Time 2006-03-23 15:05:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2005-68 
Volume (vol) IEICE-105 
Number (no) no.680 
Page pp.39-46 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2006-03-16 


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