Difference between revisions of "Groestl"

From The ECRYPT Hash Function Website
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(→‎Cryptanalysis: added Ideguchi/Tischhauser/Preneel results)
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|- style="background:#efefef;"                   
 
|- style="background:#efefef;"                   
 
| Type of Analysis || Hash Size (n) || Parameters || Compression Function Calls || Memory Requirements ||  Reference  
 
| Type of Analysis || Hash Size (n) || Parameters || Compression Function Calls || Memory Requirements ||  Reference  
−
|-                  
+
|-
 +
| collision || 224,256 || 5 rounds || 2<sup>48</sup> || 2<sup>32</sup> || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
 +
|-
 +
| collision || 256 || 6 rounds || 2<sup>112</sup> || 2<sup>32</sup> || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
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|-
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| semi-free-start collision ||224,256 || 7 rounds || 2<sup>80</sup> || 2<sup>32</sup> || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
 +
|-
 
| collision || 224,256 || 4 rounds || 2<sup>64</sup> || 2<sup>64</sup> || [http://online.tu-graz.ac.at/tug_online/voe_main2.getVollText?pDocumentNr=128007&pCurrPk=47053 Mendel,Rechberger,Schläffer,Thomsen]
 
| collision || 224,256 || 4 rounds || 2<sup>64</sup> || 2<sup>64</sup> || [http://online.tu-graz.ac.at/tug_online/voe_main2.getVollText?pDocumentNr=128007&pCurrPk=47053 Mendel,Rechberger,Schläffer,Thomsen]
 
|-                     
 
|-                     
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| Type of Analysis || Hash Function Part || Hash Size (n) || Parameters/Variants || Compression Function Calls || Memory Requirements ||  Reference  
 
| Type of Analysis || Hash Function Part || Hash Size (n) || Parameters/Variants || Compression Function Calls || Memory Requirements ||  Reference  
 
|-           
 
|-           
 +
| semi-free-start collision || compression function || 224,256 || 8 rounds || 2<sup>192</sup> || 2<sup>64</sup> || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
 +
|-
 +
| distinguisher || permutation || 224,256 || 7 rounds || 2<sup>19</sup> || - || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
 +
|-
 +
| distinguisher || permutation || 224,256 || 8 rounds || 2<sup>64</sup> || 2<sup>64</sup> || [http://eprint.iacr.org/2010/375.pdf Ideguchi,Tischhauser,Preneel]
 +
|-
 
| distinguisher || compression function || 256 || 10 rounds || 2<sup>192</sup> || 2<sup>64</sup> || [http://eprint.iacr.org/2010/223.pdf Peyrin]
 
| distinguisher || compression function || 256 || 10 rounds || 2<sup>192</sup> || 2<sup>64</sup> || [http://eprint.iacr.org/2010/223.pdf Peyrin]
 
|-                     
 
|-                     
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|}
 
|}
  
 +
 +
<bibtex>
 +
@misc{ITP10,
 +
    author = {Kota Ideguchi and Elmar Tischhauser and Bart Preneel},
 +
    title = {Improved Collision Attacks on the Reduced-Round Grøstl Hash Function},
 +
    howpublished = {Cryptology ePrint Archive, Report 2010/375},
 +
    year = {2010},
 +
    note = {\url{http://eprint.iacr.org/}},
 +
    url = {http://eprint.iacr.org/2010/375.pdf},
 +
    abstract = {We analyze the Gr{\o}stl hash function, which is a 2nd-round candidate of the SHA-3 competition. Using the start-from-the-middle variant of the rebound technique, we show collision attacks on the Gr{\o}stl-256 hash function reduced to 5 and 6 out of 10 rounds with time complexities $2^{48}$ and $2^{112}$, respectively. Furthermore, we demonstrate semi-free-start collision attacks on the Gr{\o}stl-224 and -256 hash functions reduced to 7 rounds and the Gr{\o}stl-224 and -256 compression functions reduced to 8 rounds. Our attacks are based on differential paths between the two permutations $P$ and $Q$ of Gr{\o}stl, a strategy introduced by Peyrin to construct distinguishers for the compression function. In this paper, we extend this approach to construct collision and semi-free-start collision attacks for both the hash and the compression function. Finally, we present improved distinguishers for reduced-round versions of the Gr{\o}stl-224 and -256 permutations.},
 +
}
 +
</bibtex>         
  
 
<bibtex>           
 
<bibtex>           

Revision as of 14:58, 5 July 2010

1 The algorithm

  • Author(s): Praveen Gauravaram, Lars R. Knudsen, Krystian Matusiewicz, Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen
  • Website: http://www.groestl.info
  • NIST submission package:


Praveen Gauravaram, Lars R. Knudsen, Krystian Matusiewicz, Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen - Grøstl -- a SHA-3 candidate

,2008
http://www.groestl.info/Groestl.pdf
Bibtex
Author : Praveen Gauravaram, Lars R. Knudsen, Krystian Matusiewicz, Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen
Title : Grøstl -- a SHA-3 candidate
In : -
Address :
Date : 2008

Praveen Gauravaram, Lars R. Knudsen, Krystian Matusiewicz, Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen - Grøstl Addendum

,2009
http://groestl.info/Groestl-addendum.pdf
Bibtex
Author : Praveen Gauravaram, Lars R. Knudsen, Krystian Matusiewicz, Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen
Title : Grøstl Addendum
In : -
Address :
Date : 2009

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 parameter: 10 rounds (n=224,256); 14 rounds (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 Compression Function Calls Memory Requirements Reference
collision 224,256 5 rounds 248 232 Ideguchi,Tischhauser,Preneel
collision 256 6 rounds 2112 232 Ideguchi,Tischhauser,Preneel
semi-free-start collision 224,256 7 rounds 280 232 Ideguchi,Tischhauser,Preneel
collision 224,256 4 rounds 264 264 Mendel,Rechberger,Schläffer,Thomsen
collision 224,256 3 rounds 264 - Mendel,Rechberger,Schläffer,Thomsen
collision 384,512 5 rounds 2176 264 Mendel,Rechberger,Schläffer,Thomsen
collision 384,512 4 rounds 264 264 Mendel,Rechberger,Schläffer,Thomsen


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
semi-free-start collision compression function 224,256 8 rounds 2192 264 Ideguchi,Tischhauser,Preneel
distinguisher permutation 224,256 7 rounds 219 - Ideguchi,Tischhauser,Preneel
distinguisher permutation 224,256 8 rounds 264 264 Ideguchi,Tischhauser,Preneel
distinguisher compression function 256 10 rounds 2192 264 Peyrin
distinguisher compression function 256 9 rounds 280 264 Peyrin
distinguisher compression function 512 11 rounds 2640 264 Peyrin
semi-free-start collision compression function 256 7 rounds 2120 264 Gilbert,Peyrin
distinguisher compression function 256 8 rounds 2112 264 Gilbert,Peyrin
distinguisher permutation 256 8 rounds 2112 264 Gilbert,Peyrin
semi-free-start collision compression function 256 7 rounds 2120 264 Mendel,Rechberger,Schläffer,Thomsen
semi-free-start collision compression function 384,512 7 rounds 2152 264 Mendel,Rechberger,Schläffer,Thomsen
semi-free-start collision compression function 224,256 6 rounds 264 264 Mendel,Peyrin,Rechberger,Schläffer
distinguisher output transformation 224,256 7 rounds 256 - Mendel,Peyrin,Rechberger,Schläffer
distinguisher permutation 224,256 7 rounds 255 - Mendel,Peyrin,Rechberger,Schläffer
semi-free-start collision compression function 256 6 rounds 2120 264 Mendel,Rechberger,Schläffer,Thomsen
semi-free-start collision compression function 224,256 5 rounds 264 - Mendel,Rechberger,Schläffer,Thomsen
observation hash all Kelsey
observation block cipher all Barreto
free-start collision compression function all any 22n/3 22n/3 submission document
pseudo-preimage compression function all any 2n - submission document


Kota Ideguchi, Elmar Tischhauser, Bart Preneel - Improved Collision Attacks on the Reduced-Round Grøstl Hash Function

,2010
http://eprint.iacr.org/2010/375.pdf
Bibtex
Author : Kota Ideguchi, Elmar Tischhauser, Bart Preneel
Title : Improved Collision Attacks on the Reduced-Round Grøstl Hash Function
In : -
Address :
Date : 2010

Thomas Peyrin - Improved Differential Attacks for ECHO and Grostl

,2010
http://eprint.iacr.org/2010/223.pdf
Bibtex
Author : Thomas Peyrin
Title : Improved Differential Attacks for ECHO and Grostl
In : -
Address :
Date : 2010

Henri Gilbert, Thomas Peyrin - Super-Sbox Cryptanalysis: Improved Attacks for AES-like permutations

FSE ,2010
http://eprint.iacr.org/2009/531.pdf
Bibtex
Author : Henri Gilbert, Thomas Peyrin
Title : Super-Sbox Cryptanalysis: Improved Attacks for AES-like permutations
In : FSE -
Address :
Date : 2010

Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen - Rebound Attacks on the Reduced Grøstl Hash Function

CT-RSA 5985:350-365,2010
http://online.tu-graz.ac.at/tug_online/voe_main2.getVollText?pDocumentNr=128007&pCurrPk=47053
Bibtex
Author : Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen
Title : Rebound Attacks on the Reduced Grøstl Hash Function
In : CT-RSA -
Address :
Date : 2010

Florian Mendel, Thomas Peyrin, Christian Rechberger, Martin Schläffer - Improved Cryptanalysis of the Reduced Grøstl

Compression Function, ECHO Permutation and AES Block Cipher

SAC 5867:16-35,2009
http://online.tu-graz.ac.at/tug_online/voe_main2.getVollText?pDocumentNr=124407&pCurrPk=44420
Bibtex
Author : Florian Mendel, Thomas Peyrin, Christian

Rechberger, Martin Schläffer
Title : Improved Cryptanalysis of the Reduced Grøstl

Compression Function, ECHO Permutation and AES Block Cipher
In : SAC -
Address :
Date : 2009

Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen - The Rebound Attack: Cryptanalysis of Reduced Whirlpool and Grøstl

FSE 5665:260-276,2009
http://online.tu-graz.ac.at/tug_online/voe_main2.getVollText?pDocumentNr=124409&pCurrPk=40943
Bibtex
Author : Florian Mendel, Christian Rechberger, Martin Schläffer, Søren S. Thomsen
Title : The Rebound Attack: Cryptanalysis of Reduced Whirlpool and Grøstl
In : FSE -
Address :
Date : 2009

John Kelsey - Some notes on Grøstl

,2009
http://ehash.iaik.tugraz.at/uploads/d/d0/Grostl-comment-april28.pdf
Bibtex
Author : John Kelsey
Title : Some notes on Grøstl
In : -
Address :
Date : 2009

Paulo S. L. M. Barreto - An observation on Grøstl

,2008
http://www.larc.usp.br/~pbarreto/Grizzly.pdf
Bibtex
Author : Paulo S. L. M. Barreto
Title : An observation on Grøstl
In : -
Address :
Date : 2008
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