Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 are Niho ex...
We give a high-level survey of the "testing by implicit learning" paradigm, and explain some of the property testing results for various Boolean function classes that ha...
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
A quantified Boolean formula is true, if for any existentially quantified variable there exists a Boolean function depending on the preceding universal variables, such that substi...
In this paper we characterize (octal) bent generalized Boolean functions defined on Zn 2 with values in Z8. Moreover, we propose several constructions of such generalized bent fun...