We first show that a Feistel type block cipher is broken if the round function is approximated by a low degree vectorial Boolean function. The proposed attack is a generalization of the higher order differential attack to a probabilistic one. We next introduce a notion of higher order bent functions in order to prevent our attack. We then show their explicit constructions.
CITATION STYLE
Iwata, T., & Kurosawa, K. (1999). Probabilistic higher order differential attack and higher order bent functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1716, pp. 1–13). Springer Verlag. https://doi.org/10.1007/978-3-540-48000-6_7
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