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Paper Abstract and Keywords
Presentation 2005-07-22 14:40
Improved Collision Attack on MD4 with Probability Almost 1
Yusuke Naito, Yu Sasaki, Noboru Kunihiro, Kazuo Ohta (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) In EUROCRYPT2005, a collision attack on MD4 was proposed by Wang et. al..
Wang et. al. claimed that collision messeages are found with probability $2^{-6}$ to $2^{-2}$,
and the complexity is less than $2^8$ MD4 hash operations.
However, there were tyops and oversights in the method of Wang et. al..
In this paper, \\
~~{\bf (1)} We will evaluate the exact success probability again, \\
~~{\bf (2)} We will point out the typos and oversights in Wang's method, and \\
~~{\bf (3)} We will a new messege modification in third round of MD4. \\
From (1), we proved that the method of Wang et. al. can find collision messages with success probability $2^{5.61}$.
From (2), we are able to find collision messages with the probability $2^{-2}$.
Also by combining the results of (2) and (3), our improved method is able to find collision messages with
the probability almost 1.
This complexity is less than 3 repetitions of MD4 hash operations.
We confirmed that the improved method is about 85 times as fast as the method of Wang et. al..
Keyword (in Japanese) (See Japanese page) 
(in English) MD4 / collision attack / message modification / sufficient condition / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 194, ISEC2005-58, pp. 109-116, July 2005.
Paper # ISEC2005-58 
Date of Issue 2005-07-15 (ISEC) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee ISEC IPSJ-CSEC SITE  
Conference Date 2005-07-21 - 2005-07-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Iwate Prefectural University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2005-07-ISEC-IPSJ-CSEC-SITE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Improved Collision Attack on MD4 with Probability Almost 1 
Sub Title (in English)  
Keyword(1) MD4  
Keyword(2) collision attack  
Keyword(3) message modification  
Keyword(4) sufficient condition  
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1st Author's Name Yusuke Naito  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Yu Sasaki  
2nd Author's Affiliation The University of Electro-Communications (UEC)
3rd Author's Name Noboru Kunihiro  
3rd Author's Affiliation The University of Electro-Communications (UEC)
4th Author's Name Kazuo Ohta  
4th Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2005-07-22 14:40:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2005-58 
Volume (vol) vol.105 
Number (no) no.194 
Page pp.109-116 
#Pages
Date of Issue 2005-07-15 (ISEC) 


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