Difference between revisions of "NaSHA"

From The ECRYPT Hash Function Website
m (Memory requirements for the 2^128 collision attack are negligible (according to authors))
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     year = {2009},
 
     year = {2009},
 
     url = {http://eprint.iacr.org/2009/026.pdf},
 
     url = {http://eprint.iacr.org/2009/026.pdf},
     abstract = { In this paper, we present a collision attack on the hash function NaSHA for the output sizes 384-bit and 512-bit. This attack is based on the the weakness in the generate course of the state words and the fact that the quasigroup operation used in the compression function is only determined by partial state words. Its complexity is about $2^{128}$ (much lower than the complexity of the corresponding birthday attack) and its probability is more than $(1- \frac{2}{{2^{64} - 1}})^2$ ($\gg \frac{1}{2}$).},
+
     abstract = {In this paper, we present a collision attack on the hash function NaSHA for the output sizes 384-bit and 512-bit. This attack is based on the the weakness in the generate course of the state words and the fact that the quasigroup operation used in the compression function is only determined by partial state words. Its complexity is about $2^{128}$ (much lower than the complexity of the corresponding birthday attack) and its probability is more than $(1- \frac{2}{{2^{64} - 1}})^2$ ($\gg \frac{1}{2}$).},
 +
}
 +
</bibtex>
 +
 
 +
<bibtex>
 +
@misc{MarkovskiMDG-eprint:2009:034,
 +
author = {S. Markovski and A. Mileva and V. Dimitrova and D. Gligoroski},
 +
title  = {On a Conditional Collision Attack on NaSHA-512},
 +
howpublished = {Cryptology ePrint Archive, Report 2009/034},
 +
year  = {2009},
 +
url    = {http://eprint.iacr.org/2009/034.pdf},
 +
abstract = {A collision attack on NaSHA-512 was proposed by L. Ji et al. The claimed complexity of the attack is $2^{192}$. The proposed attack is realized by using a suitable differential pattern. In this note we show that the correct result that can be inferred from their differential pattern is in fact a conditional one. It can be stated correctly as follows: A collision attack on NaSHA-512 of complexity $k=1,2,\dots,2^{320}$ can be performed with an unknown probability of success $p_k$, where $ 0\le p_1\le p_2\le p_{2^{320}}\le 1$. Consequently, the attack proposed by L. Ji et al. can be considered only as a direction how a possible collision attack on NaSHA-512 could be realized. The birthday attack remains the best possible attack on NaSHA-512.}
 
}
 
}
 
</bibtex>
 
</bibtex>

Revision as of 10:18, 18 February 2009

1 The algorithm


Smile Markovski, Aleksandra Mileva - 2.B.1 Algorithm Specification

,2008
http://inf.ugd.edu.mk/images/stories/file/Mileva/part2b1.pdf
Bibtex
Author : Smile Markovski, Aleksandra Mileva
Title : 2.B.1 Algorithm Specification
In : -
Address :
Date : 2008


2 Cryptanalysis

Type of Analysis Hash Function Part Hash Size (n) Parameters/Variants Compression Function Calls Memory Requirements Reference
free-start collision compression all 232 ? Nikolić,Khovratovich
free-start preimage compression 224,256 ~2128 ? Nikolić,Khovratovich
free-start preimage compression 384,512 ~2256 ? Nikolić,Khovratovich
free-start collision compression all - - Ji,Liangyu,Xu
collision hash 512 2192 ? Ji,Liangyu,Xu
collision hash 384,512 2128 - Z. Li, D. Li

A description of this table is given here.


Ivica Nikolić, Dmitry Khovratovich - Free-start attacks on NaSHA

,2008
http://ehash.iaik.tugraz.at/uploads/3/33/Free-start_attacks_on_Nasha.pdf
Bibtex
Author : Ivica Nikolić, Dmitry Khovratovich
Title : Free-start attacks on NaSHA
In : -
Address :
Date : 2008

Li Ji, Xu Liangyu, Guan Xu - Collision attack on NaSHA-512

,2008
http://eprint.iacr.org/2008/519.pdf
Bibtex
Author : Li Ji, Xu Liangyu, Guan Xu
Title : Collision attack on NaSHA-512
In : -
Address :
Date : 2008

Zhimin Li, Daofeng Li - Collision Attack on NaSHA-384/512

,2009
http://eprint.iacr.org/2009/026.pdf
Bibtex
Author : Zhimin Li, Daofeng Li
Title : Collision Attack on NaSHA-384/512
In : -
Address :
Date : 2009

S. Markovski, A. Mileva, V. Dimitrova, D. Gligoroski - On a Conditional Collision Attack on NaSHA-512

,2009
http://eprint.iacr.org/2009/034.pdf
Bibtex
Author : S. Markovski, A. Mileva, V. Dimitrova, D. Gligoroski
Title : On a Conditional Collision Attack on NaSHA-512
In : -
Address :
Date : 2009