Difference between revisions of "CubeHash"

From The ECRYPT Hash Function Website
(added Kaminsky's paper)
(Added Ferguson/Lucks/McKay paper)
Line 54: Line 54:
 
|- style="background:#efefef;"                   
 
|- style="background:#efefef;"                   
 
| Type of Analysis || Hash Size (n) || Parameters/Variants || Compression Function Calls || Memory Requirements ||  Reference  
 
| Type of Analysis || Hash Size (n) || Parameters/Variants || Compression Function Calls || Memory Requirements ||  Reference  
 +
|-
 +
| preimage || 384,512 || 16/32 || 2<sup>383.7</sup> || - || [http://eprint.iacr.org/2010/273.pdf Ferguson,Lucks,McKay]
 +
|-
 +
| preimage || 384,512 || 16/33 || 2<sup>257.6</sup> || - || [http://eprint.iacr.org/2010/273.pdf Ferguson,Lucks,McKay]
 
|-  
 
|-  
 
| collision || 512 || 7/64 || 2<sup>203</sup> || - || [http://eprint.iacr.org/2009/382.pdf Brier,Khazaei,Meier,Peyrin]
 
| collision || 512 || 7/64 || 2<sup>203</sup> || - || [http://eprint.iacr.org/2009/382.pdf Brier,Khazaei,Meier,Peyrin]
Line 116: Line 120:
 
|}                     
 
|}                     
  
 +
 +
<bibtex>
 +
@misc{cubehashFLM10,
 +
    author = {Niels Ferguson and Stefan Lucks and Kerry A. McKay},
 +
    title = {Symmetric States and their Structure:  Improved Analysis of CubeHash},
 +
    howpublished = {Cryptology ePrint Archive, Report 2010/273},
 +
    year = {2010},
 +
    url = {http://eprint.iacr.org/2010/273.pdf},
 +
    note = {\url{http://eprint.iacr.org/}},
 +
    abtract = {This paper provides three improvements over previous work on analyzing CubeHash, based on its classes of symmetric states: (1) We present a detailed analysis of the hierarchy of symmetry classes. (2) We point out some flaws in previously claimed attacks which tried to exploit the symmetry classes. (3) We present and analyze new multicollision and preimage attacks. For the default parameter setting of CubeHash, namely for a message block size of b = 32, the new attacks are slightly faster than 2^384 operations. If one increases the size of a message block by a single byte to b = 33, our multicollision and preimage attacks become much faster – they only require about 2^256 operations. This demonstrates how sensitive the security of CubeHash is, depending on minor changes of the tunable security parameter b. }
 +
}
 +
</bibtex>
  
 
<bibtex>
 
<bibtex>

Revision as of 14:15, 27 May 2010

1 The algorithm


Daniel J. Bernstein - CubeHash specification (2.B.1)

,2009
http://cubehash.cr.yp.to/submission2/spec.pdf
Bibtex
Author : Daniel J. Bernstein
Title : CubeHash specification (2.B.1)
In : -
Address :
Date : 2009

Daniel J. Bernstein - CubeHash parameter tweak: 16 times faster

,2009
http://cubehash.cr.yp.to/submission/tweak.pdf
Bibtex
Author : Daniel J. Bernstein
Title : CubeHash parameter tweak: 16 times faster
In : -
Address :
Date : 2009

Daniel J. Bernstein - CubeHash Specification (2.B.1)

,2008
http://cubehash.cr.yp.to/submission/spec.pdf
Bibtex
Author : Daniel J. Bernstein
Title : CubeHash Specification (2.B.1)
In : -
Address :
Date : 2008


2 Cryptanalysis

We distinguish between two cases: results on the complete hash function, and results on underlying building blocks.

A description of the tables is given here.

Recommended security parameters: r/b = 16/32 (n=224,256); 16/1 (n=384,512)

2.1 Hash function

Here we list results on the hash function according to the NIST requirements. The only allowed modification is to change the security parameter.

Type of Analysis Hash Size (n) Parameters/Variants Compression Function Calls Memory Requirements Reference
preimage 384,512 16/32 2383.7 - Ferguson,Lucks,McKay
preimage 384,512 16/33 2257.6 - Ferguson,Lucks,McKay
collision 512 7/64 2203 - Brier,Khazaei,Meier,Peyrin
collision all 4/48 example (237) - Brier,Khazaei,Meier,Peyrin
collision all 4/64 example (234) - Brier,Khazaei,Meier,Peyrin
collision all 3/64 example (224) - Brier,Khazaei,Meier,Peyrin
collision 512 2/2 2196 - Brier,Khazaei,Meier,Peyrin
collision 512 5/64 2231 - Brier,Peyrin
collision all 3/64 289 - Brier,Peyrin
collision 512 4/3 2207 - Brier,Peyrin
collision 384,512 4/4 2189 - Brier,Peyrin
collision all 2/3 246 - Brier,Peyrin
collision 512 2/4 example - Brier,Peyrin
collision 512 1/45, 2/89 example - Dai
collision 512 2/120 example - Aumasson
preimage 512 r/8 2480 - Khovratovich,Nikolic',Weinmann
preimage 512 r/4 2496 - Khovratovich,Nikolic',Weinmann
preimage 512 2511 2508 Khovratovich,Nikolic',Weinmann
preimage all 2513-4b - Aumasson,Meier,Naya-Plasencia,Peyrin
collision all 2521-4b-log b - submission document
preimage all 2522-4b-log b - submission document


2.2 Building blocks

Here we list results on underlying building blocks, and the hash function modified by other means than the security parameter.

Note that these results assume more direct control or access over some internal variables (aka. free-start, pseudo, compression function, block cipher, or permutation attacks).

Type of Analysis Hash Function Part Hash Size (n) Parameters/Variants Compression Function Calls Memory Requirements Reference
observations hash all Kaminsky
observations hash all Bloom,Kaminsky
multi-collision hash all 2513-4b - Aumasson,Meier,Naya-Plasencia,Peyrin
observations permutation all Aumasson,Meier,Naya-Plasencia,Peyrin


Niels Ferguson, Stefan Lucks, Kerry A. McKay - Symmetric States and their Structure: Improved Analysis of CubeHash

,2010
http://eprint.iacr.org/2010/273.pdf
Bibtex
Author : Niels Ferguson, Stefan Lucks, Kerry A. McKay
Title : Symmetric States and their Structure: Improved Analysis of CubeHash
In : -
Address :
Date : 2010

Alan Kaminsky - Cube Test Analysis of the Statistical Behavior of CubeHash and Skein

,2010
http://eprint.iacr.org/2010/262.pdf
Bibtex
Author : Alan Kaminsky
Title : Cube Test Analysis of the Statistical Behavior of CubeHash and Skein
In : -
Address :
Date : 2010

Benjamin Bloom, Alan Kaminsky - Single Block Attacks and Statistical Tests on CubeHash

,2009
http://eprint.iacr.org/2009/407.pdf
Bibtex
Author : Benjamin Bloom, Alan Kaminsky
Title : Single Block Attacks and Statistical Tests on CubeHash
In : -
Address :
Date : 2009

Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin - Linearization Framework for Collision Attacks: Application to CubeHash and MD6

,2009
http://eprint.iacr.org/2009/382.pdf
Bibtex
Author : Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin
Title : Linearization Framework for Collision Attacks: Application to CubeHash and MD6
In : -
Address :
Date : 2009

Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin - Real Collisions for CubeHash-4/48

,2009
http://ehash.iaik.tugraz.at/uploads/5/50/Bkmp_ch448.txt
Bibtex
Author : Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin
Title : Real Collisions for CubeHash-4/48
In : -
Address :
Date : 2009

Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin - Real Collisions for CubeHash-4/64

,2009
http://ehash.iaik.tugraz.at/uploads/9/93/Bkmp_ch464.txt
Bibtex
Author : Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin
Title : Real Collisions for CubeHash-4/64
In : -
Address :
Date : 2009

Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin - Attack for CubeHash-2/2 and collision for CubeHash-3/64

,2009
http://ehash.iaik.tugraz.at/uploads/3/3a/Peyrin_ch22_ch364.txt
Bibtex
Author : Eric Brier, Shahram Khazaei, Willi Meier, Thomas Peyrin
Title : Attack for CubeHash-2/2 and collision for CubeHash-3/64
In : -
Address :
Date : 2009

Eric Brier, Thomas Peyrin - Cryptanalysis of CubeHash

,2009
http://thomas.peyrin.googlepages.com/BrierPeyrinCubehash.pdf
Bibtex
Author : Eric Brier, Thomas Peyrin
Title : Cryptanalysis of CubeHash
In : -
Address :
Date : 2009

Wei Dai - Collisions for CubeHash1/45 and CubeHash2/89

,2008
http://www.cryptopp.com/sha3/cubehash.pdf
Bibtex
Author : Wei Dai
Title : Collisions for CubeHash1/45 and CubeHash2/89
In : -
Address :
Date : 2008

Jean-Philippe Aumasson - Collision for CubeHash2/120-512

,2008
http://ehash.iaik.tugraz.at/uploads/a/a9/Cubehash.txt
Bibtex
Author : Jean-Philippe Aumasson
Title : Collision for CubeHash2/120-512
In : -
Address :
Date : 2008

Dmitry Khovratovich, Ivica Nikolic', Ralf-Philipp Weinmann - Preimage attack on CubeHash512-r/4 and CubeHash512-r/8

,2008
http://ehash.iaik.tugraz.at/uploads/6/6c/Cubehash.pdf
Bibtex
Author : Dmitry Khovratovich, Ivica Nikolic', Ralf-Philipp Weinmann
Title : Preimage attack on CubeHash512-r/4 and CubeHash512-r/8
In : -
Address :
Date : 2008

Jean-Philippe Aumasson, Eric Brier, Willi Meier, María Naya-Plasencia, Thomas Peyrin - Inside the Hypercube

ACISP 5594:202-213,2009
http://www.131002.net/data/papers/ABMNP08.pdf
Bibtex
Author : Jean-Philippe Aumasson, Eric Brier, Willi Meier, María Naya-Plasencia, Thomas Peyrin
Title : Inside the Hypercube
In : ACISP -
Address :
Date : 2009
Retrieved from "https://ehash.iaik.tugraz.at/index.php?title=CubeHash&oldid=3503"