New observation on division property

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References

  1. 1

    Knudsen L R, Wagner D. Integral cryptanalysis. Lect Notes Comput Sci, 2002, 2365: 112–127

    Article  MATH  Google Scholar 

  2. 2

    Daemen J, Knudsen L R, Rijmen V. The block cipher square. Lect Notes Comput Sci, 1997, 1267: 149–165

    Article  Google Scholar 

  3. 3

    Lucks S. The saturation attack — a bait for Twofish. Lect Notes Comput Sci, 2002, 2355: 1–15

    Article  MATH  Google Scholar 

  4. 4

    Biryukov A, Shamir A. Structural cryptanalysis of SASAS. Lect Notes Comput Sci, 2001, 2045: 394–405

    MathSciNet  MATH  Google Scholar 

  5. 5

    Lai X. Higher order derivatives and differential cryptanalysis. Springer Int Ser Eng Comput Sci, 1994, 276: 227–233

    MATH  Google Scholar 

  6. 6

    Todo Y. Structural evaluation by generalized integral property. Lect Notes Comput Sci, 2015, 9056: 287–314

    MathSciNet  Article  MATH  Google Scholar 

  7. 7

    Sun B, Liu Z, Rijmen V, et al. Links among impossible differential, integral and zero correlation linear cryptanalysis. Lect Notes Comput Sci, 2015, 9215: 95–115

    MathSciNet  Article  MATH  Google Scholar 

  8. 8

    Data encryption standard. FIPS 46–3. In National Institute of Standards and Technology. http://csrc.nist.gov/publications/fips/fips46-3/fips46-3.pdf

  9. 9

    Aoki K, Ichikawa T, Kanda M, et al. Camellia: a 128-bit block cipher suitable for multiple platforms. In: Proceedings of the 7th Annual International Workshop, Selected Areas in Cryptography, Ontario, 2000. 39–56

    Google Scholar 

Download references

Acknowledgements

The authors thank Vincent Rijmen, Yosuke Todo and Xuan Shen for their helpful discussions. This work was supported by National Natural Science Foundation of China (Grant Nos. 61402515, 61672530), Foundation of Science and Technology on Information Assurance Laboratory (Grant No. KJ-14-003), Scientific Research Fund of Hunan Provincial Education Department (Grant No. YB2014B001), and Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20121501120004).

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Correspondence to Bing Sun or Xin Hai or Wenyu Zhang.

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The authors declare that they have no conflict of interest.

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Sun, B., Hai, X., Zhang, W. et al. New observation on division property. Sci. China Inf. Sci. 60, 098102 (2017). https://doi.org/10.1007/s11432-015-0376-x

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