Counting all bent functions in dimension eight 99270589265934370305785861242880
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 approximate to 2(106) 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.
bent function boolean function