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Towards a combined Rotational-Differential Cryptanalytic Framework

Mourouzis, T., Komninos, N. & Christofi, M. (2014). Towards a combined Rotational-Differential Cryptanalytic Framework. Paper presented at the 2nd International Conference on Cryptography, Network Security and Applications in the Armed Forces, 1st - 2nd April 2014, Hellenic Military Academy, Athens, Greece.


In this report, we suggest a new cryptanalytic framework of constructing distinguishers which can be eventually extended to full attacks in the related-key scenario. We name this new paradigm as ”Relational Cryptanalysis”. The main idea is to exhibit the non-randomness of a given encryption algorithm by observing the propagation of specific sets of plaintexts of the form (P,P′) such that these pairs satisfy some rotational and differential properties of the form R1(P) = P′ and P ⊕ P′ ∈ ∆P, for some rotational symmetry R1 and fixed set of differences ∆P . Except of rotational and differential properties, we can add any other relation which seems to hold for a reduced number of rounds of the cryptographic primitive we study. Intuitively, we expect that by adding more relations we increase the observed probability of the propagation and this result to stronger statistical distinguishers.

Publication Type: Conference or Workshop Item (Paper)
Subjects: Q Science > QA Mathematics > QA76 Computer software
Departments: School of Science & Technology > Computer Science
School of Science & Technology > Computer Science > Software Reliability
Interdisciplinary Centres > Information Leadership
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