Difference between revisions of "Blue Midnight Wish"
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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 | ||
|- | |- | ||
+ | | partial-collision<sup>(1)</sup>|| compression function || 256,512 || || 2<sup>32</sup>,2<sup>64</sup> || - || [http://www.di.ens.fr/~leurent/files/BMW_Distinguisher.pdf Leurent ,Thomsen] | ||
+ | |- | ||
| observation|| compression function || all || || || - || [http://cryptography.hyperlink.cz/2009/BMWDecomposition04.pdf Gligoroski,Klima] | | observation|| compression function || all || || || - || [http://cryptography.hyperlink.cz/2009/BMWDecomposition04.pdf Gligoroski,Klima] | ||
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|} | |} | ||
+ | <sup>(1)</sup>The BMW team commented on this partial-collision in [http://ehash.iaik.tugraz.at/uploads/7/7a/CommentNov2010.pdf this note] | ||
+ | |||
+ | |||
+ | <bibtex> | ||
+ | @misc{bmwAum10, | ||
+ | author = {Gaëtan Leurent and Søren S. Thomsen}, | ||
+ | title = {Practical Partial-Collisions on the Compression Function of BMW}, | ||
+ | url = {http://www.di.ens.fr/~leurent/files/BMW_Distinguisher.pdf}, | ||
+ | howpublished = {Available online}, | ||
+ | year = {2010}, | ||
+ | abstract ={ Blue Midnight Wish (BMW) is one of the fastest SHA-3 candidates in the | ||
+ | second round of the competition. In this paper we study the compression function of BMW | ||
+ | and we obtain practical partial collisions in the case of BMW-256: we show a pair of inputs | ||
+ | so that 300 pre-specified bits of the outputs collide (out of 512 bits). Our attack requires | ||
+ | about 2^32 evaluations of the compression function. A similar attack can be developed for | ||
+ | BMW-512, which will gives message pairs with around 600 colliding bits for a cost of 2^64. | ||
+ | This analysis does not affect the security of the iterated hash function, but it shows that | ||
+ | the compression function is far from ideal. | ||
+ | We also describe some tools for the analysis of systems of additions and rotations, which | ||
+ | are used in our attack, and which can be useful for the analysis of other systems} | ||
+ | </bibtex> | ||
<bibtex> | <bibtex> | ||
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The attacks described are (near-)collision, preimage and second preimage attacks on the BMW compression function. These attacks can also be described as pseudo-attacks on the full hash function, i.e., as attacks in which the adversary is allowed to choose the initial value of the hash function. The complexities of the attacks are about 2^{14} for the near-collision attack, about 2^{3n/8+1} for the pseudo-collision attack, and about 2^{3n/4+1} for the pseudo-(second) preimage attack, where n is the output length of the hash function. Memory requirements are negligible. Moreover, the attacks are not (or only moderately) affected by the choice of security parameter for BMW. } | The attacks described are (near-)collision, preimage and second preimage attacks on the BMW compression function. These attacks can also be described as pseudo-attacks on the full hash function, i.e., as attacks in which the adversary is allowed to choose the initial value of the hash function. The complexities of the attacks are about 2^{14} for the near-collision attack, about 2^{3n/8+1} for the pseudo-collision attack, and about 2^{3n/4+1} for the pseudo-(second) preimage attack, where n is the output length of the hash function. Memory requirements are negligible. Moreover, the attacks are not (or only moderately) affected by the choice of security parameter for BMW. } | ||
</bibtex> | </bibtex> | ||
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=== Archive === | === Archive === |
Latest revision as of 14:59, 6 December 2010
1 The algorithm
- Author(s): Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, Jørn Amundsen, Stig Frode Mjølsnes
- Website: http://www.q2s.ntnu.no/sha3_nist_competition/start
- NIST submission package:
- round 1: Blue_Midnight_Wish.zip
- round 2: Blue_Midnight_Wish_Round2.zip
Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, J\orn Amundsen, Stig Frode Mj\olsnes - Cryptographic Hash Function BLUE MIDNIGHT WISH
- ,2009
- http://people.item.ntnu.no/~danilog/Hash/BMW-SecondRound/Supporting_Documentation/BlueMidnightWishDocumentation.pdf
BibtexAuthor : Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, J\orn Amundsen, Stig Frode Mj\olsnes
Title : Cryptographic Hash Function BLUE MIDNIGHT WISH
In : -
Address :
Date : 2009
Danilo Gligoroski, Vlastimil Klima - A Document describing all modifications made on the Blue Midnight Wish cryptographic hash function before entering the Second Round of SHA-3 hash competition
- ,2009
- http://people.item.ntnu.no/~danilog/Hash/BMW-SecondRound/Supporting_Documentation/Round2Mods.pdf
BibtexAuthor : Danilo Gligoroski, Vlastimil Klima
Title : A Document describing all modifications made on the Blue Midnight Wish cryptographic hash function before entering the Second Round of SHA-3 hash competition
In : -
Address :
Date : 2009
Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, J\orn Amundsen, Stig Frode Mj\olsnes - Cryptographic Hash Function BLUE MIDNIGHT WISH
- ,2008
- http://people.item.ntnu.no/~danilog/Hash/BMW/Supporting_Documentation/BlueMidnightWishDocumentation.pdf
BibtexAuthor : Danilo Gligoroski, Vlastimil Klima, Svein Johan Knapskog, Mohamed El-Hadedy, J\orn Amundsen, Stig Frode Mj\olsnes
Title : Cryptographic Hash Function BLUE MIDNIGHT WISH
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: Expandrounds1 = 2
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 |
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 |
partial-collision(1) | compression function | 256,512 | 232,264 | - | Leurent ,Thomsen | |
observation | compression function | all | - | Gligoroski,Klima | ||
observation | compression function | all | - | Gligoroski,Klima | ||
distinguisher | compression function | 256,512 | 1 | - | Guo,Thomsen | |
distinguisher | compression function | 512 | changed constant | 2278.2 | - | Nikolić,Pieprzyk,Sokołowski,Steinfeld |
distinguisher | compression function | 512 | (Round 1) | 2223.5 | - | Nikolić,Pieprzyk,Sokołowski,Steinfeld |
distinguisher | compression function | 256,512 | 219 | - | Aumasson | |
observation | hash | 256,512 | - | - | Klima,Susil | |
pseudo-collision | hash | all | (Round 1) | 23n/8+1 | - | Thomsen |
pseudo-preimage | hash | all | (Round 1) | 23n/4+1 | - | Thomsen |
near-collision | compression | all | (Round 1) | example | - | Thomsen |
(1)The BMW team commented on this partial-collision in this note
Gaëtan Leurent, Søren S. Thomsen - Practical Partial-Collisions on the Compression Function of BMW
- ,2010
- http://www.di.ens.fr/~leurent/files/BMW_Distinguisher.pdf
BibtexAuthor : Gaëtan Leurent, Søren S. Thomsen
Title : Practical Partial-Collisions on the Compression Function of BMW
In : -
Address :
Date : 2010
Danilo Gligoroski, Vlastimil Klima - On Blue Midnight Wish Decomposition
- SantaCrypt 2009 pp. 41-51,2010
- http://cryptography.hyperlink.cz/2009/BMWDecomposition04.pdf
BibtexAuthor : Danilo Gligoroski, Vlastimil Klima
Title : On Blue Midnight Wish Decomposition
In : SantaCrypt 2009 -
Address :
Date : 2010
Danilo Gligoroski, Vlastimil Klima - On the Computational Asymmetry of the S-Boxes Present in Blue Midnight Wish Cryptographic Hash
- ICT Innovations 2009 pp. 391-400,2010
- http://cryptography.hyperlink.cz/BMW/BijectionsInBMW03-plain.pdf
BibtexAuthor : Danilo Gligoroski, Vlastimil Klima
Title : On the Computational Asymmetry of the S-Boxes Present in Blue Midnight Wish Cryptographic Hash
In : ICT Innovations 2009 -
Address :
Date : 2010
Jian Guo, Søren S. Thomsen - Distinguishers for the Compression Function of Blue Midnight Wish with Probability 1
- ,2010
- http://www2.mat.dtu.dk/people/S.Thomsen/bmw/bmw-distinguishers.pdf
BibtexAuthor : Jian Guo, Søren S. Thomsen
Title : Distinguishers for the Compression Function of Blue Midnight Wish with Probability 1
In : -
Address :
Date : 2010
Ivica Nikolić, Josef Pieprzyk, Przemysław Sokołowski, Ron Steinfeld - Rotational Cryptanalysis of (Modified) Versions of BMW and SIMD
- ,2010
- https://cryptolux.org/mediawiki/uploads/0/07/Rotational_distinguishers_%28Nikolic%2C_Pieprzyk%2C_Sokolowski%2C_Steinfeld%29.pdf
BibtexAuthor : Ivica Nikolić, Josef Pieprzyk, Przemysław Sokołowski, Ron Steinfeld
Title : Rotational Cryptanalysis of (Modified) Versions of BMW and SIMD
In : -
Address :
Date : 2010
Jean-Philippe Aumasson - Practical distinguisher for the compression function of Blue Midnight Wish
- ,2010
- http://131002.net/data/papers/Aum10.pdf
BibtexAuthor : Jean-Philippe Aumasson
Title : Practical distinguisher for the compression function of Blue Midnight Wish
In : -
Address :
Date : 2010
Vlastimil Klima, Petr Susil - A Note on Linear Approximations of BLUE MIDNIGHT WISH Cryptographic Hash Function
- ,2009
- http://eprint.iacr.org/2009/453.pdf
BibtexAuthor : Vlastimil Klima, Petr Susil
Title : A Note on Linear Approximations of BLUE MIDNIGHT WISH Cryptographic Hash Function
In : -
Address :
Date : 2009
Søren S. Thomsen - Pseudo-cryptanalysis of the Original Blue Midnight Wish
- FSE ,2010
- http://eprint.iacr.org/2009/478.pdf
BibtexAuthor : Søren S. Thomsen
Title : Pseudo-cryptanalysis of the Original Blue Midnight Wish
In : FSE -
Address :
Date : 2010
2.3 Archive
Søren S. Thomsen - Pseudo-cryptanalysis of Blue Midnight Wish
- ,2009
- http://www.mat.dtu.dk/people/S.Thomsen/bmw/bmw-pseudo.pdf
BibtexAuthor : Søren S. Thomsen
Title : Pseudo-cryptanalysis of Blue Midnight Wish
In : -
Address :
Date : 2009
Søren S. Thomsen - A near-collision attack on the Blue Midnight Wish compression function