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The Triangle Differential Cryptanalysis

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Information Security and Privacy (ACISP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13915))

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Abstract

In this paper, a new variant of differential cryptanalysis is developed by applying the idea of the boomerang attack on the truncated differential. We call this variant a triangle differential cryptanalysis since it utilizes the difference of every pair in an input and output triple. Similar to the boomerang attack, the triangle differential cryptanalysis combines two independent truncated differential distinguishers of two parts of a cryptosystem into a distinguisher of the whole cryptosystem. It provides a new perspective on the differential propagation, and so it is possible to break the limit of the traditional truncated differential. An MILP modeling technique is also provided for the triangle differential distinguisher search against general SPN ciphers. To demonstrate the power of this new type of differential distinguishers, we apply it to SKINNY-64 and CRAFT. For SKINNY-64, an 11-round triangle differential distinguisher is obtained, while the previous longest truncated differential distinguisher is 10-round. For CRAFT, a 13-round triangle differential distinguisher is obtained, while the previous longest truncated differential distinguisher is 12-round. Besides, compared with the best distinguishers other than the truncated differential distinguishers, there are still some improvements on the probabilities for both SKINNY-64 and CRAFT.

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Authors and Affiliations

  1. Information Engineering University, Zhengzhou, 450001, China

    Xiaofeng Xie & Tian Tian

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  1. Xiaofeng Xie
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  2. Tian Tian
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Correspondence to Tian Tian .

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Editors and Affiliations

  1. Queensland University of Technology, Brisbane, QLD, Australia

    Leonie Simpson

  2. Queensland University of Technology, Brisbane, QLD, Australia

    Mir Ali Rezazadeh Baee

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Xie, X., Tian, T. (2023). The Triangle Differential Cryptanalysis. In: Simpson, L., Rezazadeh Baee, M.A. (eds) Information Security and Privacy. ACISP 2023. Lecture Notes in Computer Science, vol 13915. Springer, Cham. https://doi.org/10.1007/978-3-031-35486-1_4

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  • DOI: https://doi.org/10.1007/978-3-031-35486-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-35485-4

  • Online ISBN: 978-3-031-35486-1

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