Counting all bent functions in dimension eight 99270589265934370305785861242880
Publication: Research - peer-review › Journal article – Annual report year: 2011
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 $$99270589265934370305785861242880 \approx 2^{106}$$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.
| Original language | English |
|---|---|
| Journal | Designs, Codes and Cryptography |
| Publication date | 2011 |
| Volume | 59 |
| Journal number | 1-3 |
| Pages | 193-205 |
| ISSN | 09251022 |
| DOIs | |
| State | Published |
| Citations | Web of Science® Times Cited: 2 |
|---|
ID: 5498428