| Title:
|
Counting all bent functions in dimension eight 99270589265934370305785861242880 |
| Type:
|
Journal articleJournal article |
| Participant(s):
|
Forfatter:
Langevin, Philippe
University of Toulon, IMATH
Technical University of Denmark
Email:
|
| 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. |
| Published:
|
in journal: Designs, Codes and Cryptography (ISSN: 09251022) (DOI: http://dx.doi.org/10.1007/s10623-010-9455-z), vol: 59, issue: 1-3, pages: 193-205, 2011 |
| DOI:
|
|
|