Counting all bent functions in dimension eight 99270589265934370305785861242880

@article{Langevin2011CountingAB,
  title={Counting all bent functions in dimension eight 99270589265934370305785861242880},
  author={Philippe Langevin and Gregor Leander},
  journal={Des. Codes Cryptography},
  year={2011},
  volume={59},
  pages={193-205}
}
Based on the classification of the homogeneous Boolean functions of degree 4 in 8 variables we present the strategy that we used to count the number of all bent functions in dimension 8. There are 99270589265934370305785861242880 ≈ 2106 such functions in total. Furthermore, we show that most of the bent functions in dimension 8 are nonequivalent to Maiorana–McFarland and partial spread functions. 

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