In the SPN (Substitution-Permutation Network) structure, it is very important to design a diffusion layer to construct a secure block cipher against differential cryptanalysis and linear cryptanalysis. The purpose of this work is to prove that the SPN structure with a maximal diffusion layer provides a provable security against differential cryptanalysis and linear cryptanalysis in the sense that the probability of each differential (respectively linear hull) is bounded by pn (respectively qn), where p (respectively q) is the maximum differential (respectively liner hull) probability of n S-boxes used in the substitution layer.We will also give a provable security for the SPN structure with a semi-maximal diffusion layer against differential cryptanalysis and linear cryptanalysis.
CITATION STYLE
Hong, S., Lee, S., Lim, J., Sung, J., Cheon, D., & Cho, I. (2001). Provable security against differential and linear cryptanalysis for the SPN structure. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1978, pp. 273–283). Springer Verlag. https://doi.org/10.1007/3-540-44706-7_19
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