Abstract
We present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for 2 rounds of SPN structures. Our upper bound can be computed for any value of the branch number of the linear transformation and by incorporating the distribution of differential probability values and linear probability values for S-box. On application to AES, we obtain that the maximum differential probability and the maximum linear hull probability for 4 rounds of AES are bounded by 1.144 × 2− 111 and 1.075 × 2− 106, respectively.
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References
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Park, S., Sung, S.H., Lee, S., Lim, J. (2003). Improving the Upper Bound on the Maximum Differential and the Maximum Linear Hull Probability for SPN Structures and AES. In: Johansson, T. (eds) Fast Software Encryption. FSE 2003. Lecture Notes in Computer Science, vol 2887. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39887-5_19
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DOI: https://doi.org/10.1007/978-3-540-39887-5_19
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