Abstract
Automatically calculating a lower bound of the number of differentially active S-boxes by mixed-integer linear programming (MILP) is a technique proposed by Mouha et al. in 2011 and it can significantly reduce the time spent on security evaluation of a cipher and decrease the possibility of human errors in cryptanalysis. In this paper, we apply the MILP method to analyze the security of MIBS, a lightweight block cipher proposed by Izadi et al. in 2009. By adding more constraints in the MILP problem, we get tighter lower bounds on the numbers of differentially active S-boxes in MIBS. We show that for MIBS, 18 rounds of iterations are sufficient to resist against single-key differential attack, and 39 rounds are secure against related-key differential cryptanalysis.
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Ma, X., Hu, L., Sun, S., Qiao, K., Shan, J. (2014). Tighter Security Bound of MIBS Block Cipher against Differential Attack. In: Au, M.H., Carminati, B., Kuo, CC.J. (eds) Network and System Security. NSS 2015. Lecture Notes in Computer Science, vol 8792. Springer, Cham. https://doi.org/10.1007/978-3-319-11698-3_41
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DOI: https://doi.org/10.1007/978-3-319-11698-3_41
Publisher Name: Springer, Cham
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