中文摘要：

定义了一类广义M-M类函数,给出了它的Walsh谱的表达式、代数次数和非线性度的界, 论述了平衡函数、相关免疫函数和resilient函数的充分条件.

英文摘要：

A class of extended Maiorana-McFarland （M-M） functions is defined. It is proposed that the the and expression of its Walsh spectrum and the bound of its algebra degree. It is as well as proved that M-M functions is the sufficient condition of the balanced functions, correlation immune functions resilient functions