Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function

Itai Dinur; Paweł Morawiecki; Josef Pieprzyk; Marian Srebrny; Michał Straus

doi:10.1007/978-3-662-46800-5_28

Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function

Itai Dinur, Paweł Morawiecki, Josef Pieprzyk, Marian Srebrny, Michał Straus

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

55 Scopus citations

Abstract

In this paper, we comprehensively study the resistance of keyed variants of SHA-3 (Keccak) against algebraic attacks. This analysis covers a wide range of key recovery, MAC forgery and other types of attacks, breaking up to 9 rounds (out of the full 24) of the Keccak internal permutation much faster than exhaustive search. Moreover, some of our attacks on the 6-round Keccak are completely practical and were verified on a desktop PC. Our methods combine cube attacks (an algebraic key recovery attack) and related algebraic techniques with structural analysis of the Keccak permutation. These techniques should be useful in future cryptanalysis of Keccak and similar designs. Although our attacks break more rounds than previously published techniques, the security margin of Keccak remains large. For Keyak - the Keccak-based authenticated encryption scheme - the nominal number of rounds is 12 and therefore its security margin is smaller (although still sufficient).

Original language	English
Title of host publication	Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
Editors	Marc Fischlin, Elisabeth Oswald
Publisher	Springer Verlag
Pages	733-761
Number of pages	29
ISBN (Print)	9783662467992
DOIs	https://doi.org/10.1007/978-3-662-46800-5_28
State	Published - 1 Jan 2015
Externally published	Yes
Event	34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015 - Sofia, Bulgaria Duration: 26 Apr 2015 → 30 Apr 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9056
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015
Country/Territory	Bulgaria
City	Sofia
Period	26/04/15 → 30/04/15

Keywords

Cube attack
Keccak
SHA-3
Sponge function

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-662-46800-5_28

Cite this

Dinur, I., Morawiecki, P., Pieprzyk, J., Srebrny, M., & Straus, M. (2015). Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function. In M. Fischlin, & E. Oswald (Eds.), Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings (pp. 733-761). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9056). Springer Verlag. https://doi.org/10.1007/978-3-662-46800-5_28

Dinur, Itai ; Morawiecki, Paweł ; Pieprzyk, Josef et al. / Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function. Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. editor / Marc Fischlin ; Elisabeth Oswald. Springer Verlag, 2015. pp. 733-761 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{d169f066360e4723b984032709d85ab7,

title = "Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function",

abstract = "In this paper, we comprehensively study the resistance of keyed variants of SHA-3 (Keccak) against algebraic attacks. This analysis covers a wide range of key recovery, MAC forgery and other types of attacks, breaking up to 9 rounds (out of the full 24) of the Keccak internal permutation much faster than exhaustive search. Moreover, some of our attacks on the 6-round Keccak are completely practical and were verified on a desktop PC. Our methods combine cube attacks (an algebraic key recovery attack) and related algebraic techniques with structural analysis of the Keccak permutation. These techniques should be useful in future cryptanalysis of Keccak and similar designs. Although our attacks break more rounds than previously published techniques, the security margin of Keccak remains large. For Keyak - the Keccak-based authenticated encryption scheme - the nominal number of rounds is 12 and therefore its security margin is smaller (although still sufficient).",

keywords = "Cube attack, Keccak, SHA-3, Sponge function",

author = "Itai Dinur and Pawe{\l} Morawiecki and Josef Pieprzyk and Marian Srebrny and Micha{\l} Straus",

note = "Publisher Copyright: {\textcopyright} International Association for Cryptologic Research 2015.; 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015 ; Conference date: 26-04-2015 Through 30-04-2015",

year = "2015",

month = jan,

day = "1",

doi = "10.1007/978-3-662-46800-5_28",

language = "English",

isbn = "9783662467992",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "733--761",

editor = "Marc Fischlin and Elisabeth Oswald",

booktitle = "Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings",

address = "Germany",

}

Dinur, I, Morawiecki, P, Pieprzyk, J, Srebrny, M & Straus, M 2015, Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function. in M Fischlin & E Oswald (eds), Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9056, Springer Verlag, pp. 733-761, 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015, Sofia, Bulgaria, 26/04/15. https://doi.org/10.1007/978-3-662-46800-5_28

Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function. / Dinur, Itai; Morawiecki, Paweł; Pieprzyk, Josef et al.
Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. ed. / Marc Fischlin; Elisabeth Oswald. Springer Verlag, 2015. p. 733-761 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9056).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function

AU - Dinur, Itai

AU - Morawiecki, Paweł

AU - Pieprzyk, Josef

AU - Srebrny, Marian

AU - Straus, Michał

N1 - Publisher Copyright: © International Association for Cryptologic Research 2015.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - In this paper, we comprehensively study the resistance of keyed variants of SHA-3 (Keccak) against algebraic attacks. This analysis covers a wide range of key recovery, MAC forgery and other types of attacks, breaking up to 9 rounds (out of the full 24) of the Keccak internal permutation much faster than exhaustive search. Moreover, some of our attacks on the 6-round Keccak are completely practical and were verified on a desktop PC. Our methods combine cube attacks (an algebraic key recovery attack) and related algebraic techniques with structural analysis of the Keccak permutation. These techniques should be useful in future cryptanalysis of Keccak and similar designs. Although our attacks break more rounds than previously published techniques, the security margin of Keccak remains large. For Keyak - the Keccak-based authenticated encryption scheme - the nominal number of rounds is 12 and therefore its security margin is smaller (although still sufficient).

AB - In this paper, we comprehensively study the resistance of keyed variants of SHA-3 (Keccak) against algebraic attacks. This analysis covers a wide range of key recovery, MAC forgery and other types of attacks, breaking up to 9 rounds (out of the full 24) of the Keccak internal permutation much faster than exhaustive search. Moreover, some of our attacks on the 6-round Keccak are completely practical and were verified on a desktop PC. Our methods combine cube attacks (an algebraic key recovery attack) and related algebraic techniques with structural analysis of the Keccak permutation. These techniques should be useful in future cryptanalysis of Keccak and similar designs. Although our attacks break more rounds than previously published techniques, the security margin of Keccak remains large. For Keyak - the Keccak-based authenticated encryption scheme - the nominal number of rounds is 12 and therefore its security margin is smaller (although still sufficient).

KW - Cube attack

KW - Keccak

KW - SHA-3

KW - Sponge function

UR - http://www.scopus.com/inward/record.url?scp=84942636678&partnerID=8YFLogxK

U2 - 10.1007/978-3-662-46800-5_28

DO - 10.1007/978-3-662-46800-5_28

M3 - Conference contribution

AN - SCOPUS:84942636678

SN - 9783662467992

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 733

EP - 761

BT - Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings

A2 - Fischlin, Marc

A2 - Oswald, Elisabeth

PB - Springer Verlag

T2 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2015

Y2 - 26 April 2015 through 30 April 2015

ER -

Dinur I, Morawiecki P, Pieprzyk J, Srebrny M, Straus M. Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function. In Fischlin M, Oswald E, editors, Advances in Cryptology – EUROCRYPT 2015 - 34th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Springer Verlag. 2015. p. 733-761. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-46800-5_28

Cube attacks and cube-attack-like cryptanalysis on the round-reduced Keccak sponge function

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this