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 |
Download PDF |
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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) |
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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) |
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bit commitment |
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computational binding |
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one-way permutation |
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perfect concealing |
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round complexity |
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zero-knowledge argument |
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1st Author's Name |
Yoshiharu Seri |
1st Author's Affiliation |
Saitama Univeristy (Saitama Univ.) |
2nd Author's Name |
Takeshi Koshiba |
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Saitama Univeristy (Saitama Univ.) |
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Speaker |
Author-1 |
Date Time |
2006-03-23 15:05:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2005-68 |
Volume (vol) |
vol.105 |
Number (no) |
no.680 |
Page |
pp.39-46 |
#Pages |
8 |
Date of Issue |
2006-03-16 (COMP) |