Bent Out of Shape

In this paper we investigate the possibility of constructing bent functions over fields with odd characteristic. While in the binary case, and for n = 2 k , the bent property of monomials of the form Tr 1 n ( a x r ( 2 k - 1 ) ) and binomials Tr 1 n ( x ...

Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called $${\mathbb{Z}}$$ -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to ...

One of the classes of bent Boolean functions introduced by John Dillon in his thesis is family H. While this class corresponds to a nice original construction of bent functions in bivariate form, Dillon could exhibit in it only functions which already ...