Finding Integral Distinguishers with Ease

Zahra Eskandari; Andreas Brasen Kidmose; Stefan Kölbl; Tyge Tiessen

doi:10.1007/978-3-030-10970-7_6

Finding Integral Distinguishers with Ease

Zahra Eskandari, Andreas Brasen Kidmose, Stefan Kölbl^*, Tyge Tiessen

^*Corresponding author for this work

Department of Applied Mathematics and Computer Science

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

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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.

Original language	English
Title of host publication	Selected Areas in Cryptography – SAC 2018
Editors	Carlos Cid, Michael J. Jacobson
Publisher	Springer
Publication date	1 Jan 2019
Pages	115-138
ISBN (Print)	9783030109691
DOIs	https://doi.org/10.1007/978-3-030-10970-7_6
Publication status	Published - 1 Jan 2019
Event	25th International Conference on Selected Areas in Cryptography - University of Calgary campus, Calgary, Canada Duration: 15 Aug 2018 → 17 Aug 2018 Conference number: 25

Conference

Conference	25th International Conference on Selected Areas in Cryptography
Number	25
Location	University of Calgary campus
Country/Territory	Canada
City	Calgary
Period	15/08/2018 → 17/08/2018

Series	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11349 LNCS
ISSN	0302-9743

Keywords

Division property
Integral attacks
Tool

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10.1007/978-3-030-10970-7_6

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Eskandari, Zahra ; Kidmose, Andreas Brasen ; Kölbl, Stefan et al. / Finding Integral Distinguishers with Ease. Selected Areas in Cryptography – SAC 2018 . editor / Carlos Cid ; Michael J. Jacobson. Springer, 2019. pp. 115-138 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 11349 LNCS).

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Eskandari, Z, Kidmose, AB, Kölbl, S & Tiessen, T 2019, Finding Integral Distinguishers with Ease. in C Cid & MJ Jacobson (eds), Selected Areas in Cryptography – SAC 2018 . Springer, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11349 LNCS, pp. 115-138, 25th International Conference on Selected Areas in Cryptography, Calgary, Alberta, Canada, 15/08/2018. https://doi.org/10.1007/978-3-030-10970-7_6

Finding Integral Distinguishers with Ease. / Eskandari, Zahra; Kidmose, Andreas Brasen; Kölbl, Stefan et al.
Selected Areas in Cryptography – SAC 2018 . ed. / Carlos Cid; Michael J. Jacobson. Springer, 2019. p. 115-138 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 11349 LNCS).

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

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N2 - 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.

AB - 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.

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KW - Integral attacks

KW - Tool

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Eskandari Z, Kidmose AB, Kölbl S, Tiessen T. Finding Integral Distinguishers with Ease. In Cid C, Jacobson MJ, editors, Selected Areas in Cryptography – SAC 2018 . Springer. 2019. p. 115-138. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 11349 LNCS). doi: 10.1007/978-3-030-10970-7_6

Finding Integral Distinguishers with Ease

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