A New Mixture Differential Cryptanalysis on Round-Reduced AES

Kexin Qiao (), Junjie Cheng and Changhai Ou
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Kexin Qiao: School of Cyberspace Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Junjie Cheng: School of Cyberspace Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Changhai Ou: School of Cyber Science & Engineering, Wuhan University, Wuhan 430072, China

Mathematics, 2022, vol. 10, issue 24, 1-19

Abstract: AES is the most widely used secret-key cryptosystem in industry, and determining the security of AES is a central problem in cryptanalysis. The mixture differential property proposed in Eurocrypt 2017 is an essential property to setup state-of-the-art key recovery attacks on some round-reduced versions of AES. In this paper, we exploit mixture differential properties that are automatically deduced from a mixed integer linear programming (MILP)-based model to extend key recovery attacks on AES . Specifically, we modify the MILP model toolkit to produce all mixture trails explicitly and test a 5-round secret-key mixture differential distinguisher on small-scale AES experimentally. Moreover, we utilize this distinguisher to do a key recovery attack on 6-round AES -128 that outperforms previous work in the same fashion. We also for the first time utilize a 6-round AES secret-key distinguisher to set up a key recovery attack on 7-round AES -192. This work is a new yet simple cryptanalysis on AES by exploiting mixture differential properties.

Keywords: mixture differential; AES; cryptanalysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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