MD4

1 Specification

• digest size: 128 bits
• max. message length: < 2⁶⁴ bits
• compression function: 512-bit message block, 128-bit chaining variable
• Specification:

Ronald L. Rivest - The MD4 Message Digest Algorithm

CRYPTO 537:303-311,1990

http://link.springer.de/link/service/series/0558/bibs/0537/05370303.htm
Bibtex

Author : Ronald L. Rivest
Title : The MD4 Message Digest Algorithm
In : CRYPTO -
Address :
Date : 1990

2 Cryptanalysis

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2.2 Generic Attacks

• Generic Attacks on the Merkle-Damgaard Construction

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2.3 Collision Attacks

Yu Sasaki, Lei Wang, Kazuo Ohta, Noboru Kunihiro - New Message Difference for MD4

FSE 4593:329-348,2007

http://dx.doi.org/10.1007/978-3-540-74619-5_21
Bibtex

Author : Yu Sasaki, Lei Wang, Kazuo Ohta, Noboru Kunihiro
Title : New Message Difference for MD4
In : FSE -
Address :
Date : 2007

Gaëtan Leurent - Message Freedom in MD4 and MD5 Collisions: Application to APOP

FSE 4593:309-328,2007

http://dx.doi.org/10.1007/978-3-540-74619-5_20
Bibtex

Author : Gaëtan Leurent
Title : Message Freedom in MD4 and MD5 Collisions: Application to APOP
In : FSE -
Address :
Date : 2007

Yusuke Naito, Yu Sasaki, Noboru Kunihiro, Kazuo Ohta - Improved Collision Attack on MD4 with Probability Almost 1

ICISC 3935:129-145,2005

http://dx.doi.org/10.1007/11734727_12
Bibtex

Author : Yusuke Naito, Yu Sasaki, Noboru Kunihiro, Kazuo Ohta
Title : Improved Collision Attack on MD4 with Probability Almost 1
In : ICISC -
Address :
Date : 2005

Xiaoyun Wang, Xuejia Lai, Dengguo Feng, Hui Chen, Xiuyuan Yu - Cryptanalysis of the Hash Functions MD4 and RIPEMD

EUROCRYPT 3494:1-18,2005

http://dx.doi.org/10.1007/11426639_1
Bibtex

Author : Xiaoyun Wang, Xuejia Lai, Dengguo Feng, Hui Chen, Xiuyuan Yu
Title : Cryptanalysis of the Hash Functions MD4 and RIPEMD
In : EUROCRYPT -
Address :
Date : 2005

Hans Dobbertin - Cryptanalysis of MD4

J. Cryptology 11(4):253-271,1998

http://link.springer.de/link/service/journals/00145/bibs/11n4p253.html
Bibtex

Author : Hans Dobbertin
Title : Cryptanalysis of MD4
In : J. Cryptology -
Address :
Date : 1998

Hans Dobbertin - Cryptanalysis of MD4

FSE 1039:53-69,1996

http://dx.doi.org/10.1007/s001459900047
Bibtex

Author : Hans Dobbertin
Title : Cryptanalysis of MD4
In : FSE -
Address :
Date : 1996

Serge Vaudenay - On the Need for Multipermutations: Cryptanalysis of MD4 and SAFER

FSE 1008:286-297,1995

http://dx.doi.org/10.1007/3-540-60590-8_22
Bibtex

Author : Serge Vaudenay
Title : On the Need for Multipermutations: Cryptanalysis of MD4 and SAFER
In : FSE -
Address :
Date : 1995

Bert den Boer, Antoon Bosselaers - An Attack on the Last Two Rounds of MD4

CRYPTO 576:194-203,1991

http://link.springer.de/link/service/series/0558/bibs/0576/05760194.htm
Bibtex

Author : Bert den Boer, Antoon Bosselaers
Title : An Attack on the Last Two Rounds of MD4
In : CRYPTO -
Address :
Date : 1991

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2.5 Preimage Attacks

Hans Dobbertin - The First Two Rounds of MD4 are Not One-Way

FSE 1372:284-292,1998

http://dx.doi.org/10.1007/3-540-69710-1_19
Bibtex

Author : Hans Dobbertin
Title : The First Two Rounds of MD4 are Not One-Way
In : FSE -
Address :
Date : 1998

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2.6 Others

<bibtex> @inproceedings{fseSchlafferO06,

 author    = {Martin Schläffer and Elisabeth Oswald},
 title     = {Searching for Differential Paths in MD4},
 pages     = {242-261},
 url        = {http://dx.doi.org/10.1007/11799313_16},
 booktitle = {FSE},
 publisher = {Springer},
 series    = {LNCS},
 volume    = {4047},
 year      = {2006},
 isbn      = {3-540-36597-4},
 abstract  = {The ground-breaking results of Wang et al. 

have attracted a lot of attention to the collision resistance of hash functions. In their articles, Wang et al. give input differences, differential paths and the corresponding conditions that allow to find collisions with a high probability. However, Wang et al. do not explain how these paths were found. The common assumption is that they were found by hand with a great deal of intuition. In this article, we present an algorithm that allows to find paths in an automated way. Our algorithm is successful for MD4. We have found over 1000 differential paths so far. Amongst them, there are paths that have fewer conditions in the second round than the path of Wang et al. for MD4. This makes them better suited for the message modification techniques that were also introduced by Wang et al.} }