有限域上的低差分一致性函数在密码学中有着重要的应用背景.目前人们发现的特征为2的有限域上的差分4一致函数并不是很多.通过交换定义在有限域F_2~n上的Kasami几乎完全非线性函数x~(2~(2k)—2~k+1)任意两点之间的取值,给出了一类新的差分4一致函数;并在n为奇数的情况下,证明了所给出的这类函数是具有较高非线性度和代数次数的置换函数. The low-degree coherence function over a finite field has an important application background in cryptography. At present, there are not many differential 4-concordance functions found in a finite field whose characteristic is 2. By exchanging the finite difference F 2 ~ n A new kind of differential 4 uniform function is given for the value of Kasami almost completely nonlinear function x ~ (2 ~ (2k) -2 ~ k + 1). In case n is odd It is proved that the given function is a permutation function with higher non-linearity and algebraic times.