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A Practical Related-Key Boomerang Attack for the Full MMB Block Cipher

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Cryptology and Network Security (CANS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8257))

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Abstract

The MMB block cipher (Modular Multiplication-based Block cipher) is an iterative block cipher designed by Daemen, Govaerts, and Vandewalle in 1993 as an improvement of the PES and IPES ciphers.

In this paper we present several new related-key differential characteristics of MMB. These characteristics can be used to form several related-key boomerangs to attack the full MMB. Using 220 adaptive chosen plaintexts and ciphertexts we recover all key bits in 235.2 time for the full MMB. Our attack was experimentally verified, and it takes less than 15 minutes on a standard Intel i5 machine to recover the full MMB key.

After showing this practical attack on the full key of the full MMB, we present attacks on extended versions of MMB with up to 8 rounds (which is two more rounds than in the full MMB). We recover 64 out of the 128 key in time of 232.2 for 7-round MMB, and time of 232 for 8-round MMB using 220 plaintexts.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering and iMinds, ESAT/COSIC, KU Leuven, Belgium

    Tomer Ashur

  2. Computer Science Department, University of Haifa, Haifa, 31905, Israel

    Orr Dunkelman

Authors
  1. Tomer Ashur
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  2. Orr Dunkelman
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Editor information

Editors and Affiliations

  1. École Normale Supérieure and CNRS,, 45 rue d’Ulm, 75005, Paris, France

    Michel Abdalla

  2. Department of Computer Science, Purdue University, LWSN 2142J, 305 N. University Street,, 47907, West Lafayette, IN, USA

    Cristina Nita-Rotaru

  3. Institute of Computing, University of Campinas, Avenida Albert Einstein 1251, 13083-852, Campinas, SP, Brazil

    Ricardo Dahab

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Ashur, T., Dunkelman, O. (2013). A Practical Related-Key Boomerang Attack for the Full MMB Block Cipher. In: Abdalla, M., Nita-Rotaru, C., Dahab, R. (eds) Cryptology and Network Security. CANS 2013. Lecture Notes in Computer Science, vol 8257. Springer, Cham. https://doi.org/10.1007/978-3-319-02937-5_15

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  • DOI: https://doi.org/10.1007/978-3-319-02937-5_15

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02936-8

  • Online ISBN: 978-3-319-02937-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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