18 search results - page 1 / 4 » On the degree of homogeneous bent functions |
DAM
2007
13 years 5 months ago
2007
Abstract. It is well known that the degree of a 2m-variable bent function is at most m. However, the case in homogeneous bent functions is not clear. In this paper, it is proved th...
ACISP
1999
Springer
13 years 9 months ago
1999
Springer
We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a boolean function limits the size of the function’s cl...
DCC
2008
IEEE
14 years 4 months ago
2008
IEEE
A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric...
FSE
2004
Springer
13 years 10 months ago
2004
Springer
Recent research shows that the class of Rotation Symmetric Boolean Functions (RSBFs), i.e., the class of Boolean functions that are invariant under circular translation of indices,...
DM
2008
13 years 5 months ago
2008
By the relationship between the Walsh spectra at partial points and the Walsh spectra of its sub-functions, by the action of general linear group on the set of Boolean functions, ...