Skip to main content
Top

2019 | OriginalPaper | Chapter

Finding Integral Distinguishers with Ease

Authors : Zahra Eskandari, Andreas Brasen Kidmose, Stefan Kölbl, Tyge Tiessen

Published in: Selected Areas in Cryptography – SAC 2018

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The division property method is a technique to determine integral distinguishers on block ciphers. While the complexity of finding these distinguishers is higher, it has recently been shown that MILP and SAT solvers can efficiently find such distinguishers. In this paper, we provide a framework to automatically find those distinguishers which solely requires a description of the cryptographic primitive. We demonstrate that by finding integral distinguishers for 30 primitives with different design strategies.
We provide several new or improved bit-based division property distinguishers for ChaCha, Chaskey, DES, GIFT, LBlock, Mantis, Qarma, RoadRunner, Salsa and SM4. Furthermore, we present an algorithm to find distinguishers with lower data complexity more efficiently.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Footnotes
1
In the original paper, this was written slightly more verbosely as \(\mathcal D^4_{(0,1,1,0)}\).
 
2
In the original paper, this would be written as \(\mathcal D^4_{(0,1,1,0), (0,0,1,1)}\).
 
Literature
[BS10]
[DMP+15]
[JP15]
go back to reference Jovanovic, P., Polian, I.: Fault-based attacks on the Bel-t block cipher family. In: DATE, pp. 601–604. ACM (2015) Jovanovic, P., Polian, I.: Fault-based attacks on the Bel-t block cipher family. In: DATE, pp. 601–604. ACM (2015)
[Lai94]
go back to reference Lai, X.: Higher order derivatives and differential cryptanalysis. In: Blahut, R.E., Costello, D.J., Maurer, U., Mittelholzer, T. (eds.) The Springer International Series in Engineering and Computer Science Communications and Information Theory, vol. 276, pp. 227–233. Springer, Boston (1994) Lai, X.: Higher order derivatives and differential cryptanalysis. In: Blahut, R.E., Costello, D.J., Maurer, U., Mittelholzer, T. (eds.) The Springer International Series in Engineering and Computer Science Communications and Information Theory, vol. 276, pp. 227–233. Springer, Boston (1994)
[SGL+17]
go back to reference Sun, S., et al.: Analysis of aes, skinny, and others with constraint programming. IACR Trans. Symmetric Cryptol. 1, 2017 (2017) Sun, S., et al.: Analysis of aes, skinny, and others with constraint programming. IACR Trans. Symmetric Cryptol. 1, 2017 (2017)
[SWW16]
go back to reference Sun, L., Wang, W., Wang, M.: MILP-aided bit-based division property for primitives with non-bit-permutation linear layers. IACR Cryptology ePrint Archive 2016:811 (2016) Sun, L., Wang, W., Wang, M.: MILP-aided bit-based division property for primitives with non-bit-permutation linear layers. IACR Cryptology ePrint Archive 2016:811 (2016)
[SWW17]
[Vie07]
go back to reference Michael Vielhaber. Breaking ONE.FIVIUM by AIDA an algebraic IV differential attack. IACR Cryptology ePrint Archive, 2007:413 (2007) Michael Vielhaber. Breaking ONE.FIVIUM by AIDA an algebraic IV differential attack. IACR Cryptology ePrint Archive, 2007:413 (2007)
[XZBL16]
Metadata
Title
Finding Integral Distinguishers with Ease
Authors
Zahra Eskandari
Andreas Brasen Kidmose
Stefan Kölbl
Tyge Tiessen
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-10970-7_6

Premium Partner