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A New Mixture Differential Cryptanalysis on Round-Reduced AES

Author

Listed:
  • Kexin Qiao

    (School of Cyberspace Science and Technology, Beijing Institute of Technology, Beijing 100081, China
    Key Laboratory of Cryptography of Zhejiang Province, Hangzhou Normal University, Hangzhou 311121, China
    Southeast Institute of Information Technology, Beijing Institute of Technology, Fujian 351100, 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)

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.

Suggested Citation

  • Kexin Qiao & Junjie Cheng & Changhai Ou, 2022. "A New Mixture Differential Cryptanalysis on Round-Reduced AES," Mathematics, MDPI, vol. 10(24), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4736-:d:1002247
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