Counting all bent functions in dimension eight 99270589265934370305785861242880

Publication: Research - peer-reviewJournal article – Annual report year: 2011

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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 languageEnglish
JournalDesigns, Codes and Cryptography
Publication date2011
Volume59
Issue1-3
Pages193-205
ISSN09251022
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 5
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