Difference between revisions of "Luffa"

From The ECRYPT Hash Function Website
(cryptanalysis results updated)
(Cryptanalysis updated)
 
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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  
 
|-                     
 
|-                     
 +
| distinguisher || hash || 256 || Round 1 || 2<sup>251</sup> || - || [http://eprint.iacr.org/2010/589.pdf Boura,Canteaut,DeCanniere]
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|-
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| distinguisher || permutation ||  || 8 rounds || 2<sup>252</sup> || - || [http://eprint.iacr.org/2010/589.pdf Boura,Canteaut,DeCanniere]
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|-
 
| semi-free-start collision || hash || 256 || 7 rounds || 2<sup>104</sup> || 2<sup>102</sup> || [http://online.tugraz.at/tug_online/voe_main2.getVollText?pDocumentNr=163671&pCurrPk=52053 Khovratovich,Naya-Plasencia,Röck,Schläffer]
 
| semi-free-start collision || hash || 256 || 7 rounds || 2<sup>104</sup> || 2<sup>102</sup> || [http://online.tugraz.at/tug_online/voe_main2.getVollText?pDocumentNr=163671&pCurrPk=52053 Khovratovich,Naya-Plasencia,Röck,Schläffer]
 
|-
 
|-
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|}                     
 
|}                     
  
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<bibtex>
 +
@misc{cryptoeprint:2009:224,
 +
    author = {Christina Boura and Anne Canteaut and Christophe De Canni\`ere},
 +
    title = {Higher-order differential properties of Keccak and Luffa},
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    howpublished = {Cryptology ePrint Archive, Report 2010/589},
 +
    year = {2010},
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    note = {\url{http://eprint.iacr.org/}},
 +
    url = {http://eprint.iacr.org/2010/589.pdf},
 +
    abstract = {In this paper, we identify higher-order differential and zero-sum properties in the full Keccak-f permutation, in the Luffa v1 hash function, and in components of the Luffa v2 algorithm. These structural properties rely on a new bound on the degree of iterated permutations with a nonlinear layer composed of parallel applications of smaller balanced Sboxes. These techniques yield zero-sum partitions of size $2^{1590}$ for the full Keccak-f permutation and several observations on the Luffa hash family. We first show that Luffa v1 applied to one-block messages is a function of 255 variables with degree at most 251. This observation leads to the construction of a higher-order differential distinguisher for the full Luffa v1 hash function, similar to the one presented by Watanabe et al. on a reduced version. We show that similar techniques can be used to find all-zero higher-order differentials in the Luffa v2 compression function, but the additional blank round destroys this property in the hash function.},
 +
}
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</bibtex>
  
 
<bibtex>
 
<bibtex>

Latest revision as of 16:08, 6 December 2010

1 The algorithm


Christophe De Canniere, Hisayoshi Sato, Dai Watanabe - Hash Function Luffa: Specification

,2009
http://www.sdl.hitachi.co.jp/crypto/luffa/Luffa_v2_Specification_20091002.pdf
Bibtex
Author : Christophe De Canniere, Hisayoshi Sato, Dai Watanabe
Title : Hash Function Luffa: Specification
In : -
Address :
Date : 2009

Christophe De Canniere, Hisayoshi Sato, Dai Watanabe - Hash Function Luffa: Supporting Document

,2009
http://www.sdl.hitachi.co.jp/crypto/luffa/Luffa_v2_SupportingDocument_20090915.pdf
Bibtex
Author : Christophe De Canniere, Hisayoshi Sato, Dai Watanabe
Title : Hash Function Luffa: Supporting Document
In : -
Address :
Date : 2009

Christophe De Canniere, Hisayoshi Sato, Dai Watanabe - Hash Function Luffa: Specification

,2008
http://ehash.iaik.tugraz.at/uploads/e/ea/Luffa_Specification.pdf
Bibtex
Author : Christophe De Canniere, Hisayoshi Sato, Dai Watanabe
Title : Hash Function Luffa: Specification
In : -
Address :
Date : 2008

Christophe De Canniere, Hisayoshi Sato, Dai Watanabe - Hash Function Luffa: Supporting Document

,2008
http://ehash.iaik.tugraz.at/uploads/f/fe/Luffa_SupportingDocument.pdf
Bibtex
Author : Christophe De Canniere, Hisayoshi Sato, Dai Watanabe
Title : Hash Function Luffa: Supporting Document
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 parameter: 8 rounds

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 256 4 rounds 290 - Preneel,Yoshida,Watanabe


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
distinguisher hash 256 Round 1 2251 - Boura,Canteaut,DeCanniere
distinguisher permutation 8 rounds 2252 - Boura,Canteaut,DeCanniere
semi-free-start collision hash 256 7 rounds 2104 2102 Khovratovich,Naya-Plasencia,Röck,Schläffer
distinguisher round function 256 8 rounds 2104 2102 Khovratovich,Naya-Plasencia,Röck,Schläffer
distinguisher permutation 8 rounds 2116.3 ? Khovratovich,Naya-Plasencia,Röck,Schläffer
distinguisher permutation 8 rounds 282 - Aumasson,Meier
free-start 2nd preimage hash all 1 - Jia
free-start preimage hash 256 2127 - Jia
free-start preimage hash 512 2171 - Jia
semi-free-start collision hash all any 2256*(w-1)/w - submission document
semi-free-start collision hash 512 any 2204.8 - submission document
non-randomness permutation 8 rounds 2224 - submission document


Christina Boura, Anne Canteaut, Christophe De Canni\`ere - Higher-order differential properties of Keccak and Luffa

,2010
http://eprint.iacr.org/2010/589.pdf
Bibtex
Author : Christina Boura, Anne Canteaut, Christophe De Canni\`ere
Title : Higher-order differential properties of Keccak and Luffa
In : -
Address :
Date : 2010

Bart Preneel, Hirotaka Yoshida, Dai Watanabe - Finding Collisions for Reduced Luffa-256 v2

,2010
http://www.sdl.hitachi.co.jp/crypto/luffa/FindingCollisionsForReducedLuffa-256v2_20101108.pdf
Bibtex
Author : Bart Preneel, Hirotaka Yoshida, Dai Watanabe
Title : Finding Collisions for Reduced Luffa-256 v2
In : -
Address :
Date : 2010

Dmitry Khovratovich, Maria Naya-Plasencia, Andrea Röck, Martin Schläffer - Cryptanalysis of Luffa v2 Components

SAC ,2010
http://online.tugraz.at/tug_online/voe_main2.getVollText?pDocumentNr=163671&pCurrPk=52053
Bibtex
Author : Dmitry Khovratovich, Maria Naya-Plasencia, Andrea Röck, Martin Schläffer
Title : Cryptanalysis of Luffa v2 Components
In : SAC -
Address :
Date : 2010

Jean-Philippe Aumasson, Willi Meier - Zero-sum distinguishers for reduced Keccak-f and for the core functions of Luffa and Hamsi

,2009
http://www.131002.net/data/papers/AM09.pdf
Bibtex
Author : Jean-Philippe Aumasson, Willi Meier
Title : Zero-sum distinguishers for reduced Keccak-f and for the core functions of Luffa and Hamsi
In : -
Address :
Date : 2009

Keting Jia - Pseudo-Collision, Pseudo-Preimage and Pseudo-Second-Preimage Attacks on Luffa

,2009
http://eprint.iacr.org/2009/224.pdf
Bibtex
Author : Keting Jia
Title : Pseudo-Collision, Pseudo-Preimage and Pseudo-Second-Preimage Attacks on Luffa
In : -
Address :
Date : 2009
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