中文摘要：

通过修改Maiorana-McFarland型bent函数,构造出具有偶数个变元的高非线性度平衡布尔函数.并对具有偶数个变元的平衡布尔函数的非线性度上界提出一个猜想.

英文摘要：

A technique for constructing highly nonlinear balanced functions is described.It is shown that a balanced Boolean function with high nonlinearity on even number of variables can be obtained via modifying Maiorana-McFarland type bent functions.A conjecture about the upper bound of the nonlinearity of a balanced Boolean function on even number variables is given.