  In this paper, we first present a new secondary construction of bent
functions (building new bent functions from two already defined ones).
Furthermore, we apply the construction using as initial functions some specific
bent functions and then provide several concrete constructions of bent
functions. The second part of the paper is devoted to the constructions of
resilient functions. We give a generalization of the indirect sum construction
for constructing resilient functions with high nonlinearity. In addition, we
modify the generalized construction to ensure a high nonlinearity of the
constructed function.
