Journal article
Counting all bent functions in dimension eight 99270589265934370305785861242880
In
Designs, Codes and Cryptography
—
2011, Volume 59, Issue 1-3, pp. 193-205
Abstract
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.
| Language: | English |
|---|---|
| Publisher: | Springer US |
| Year: | 2011 |
| Pages: | 193-205 |
| Journal subtitle: | An International Journal |
| ISSN: | 15737586 and 09251022 |
| Types: | Journal article |
| DOI: | 10.1007/s10623-010-9455-z |
