几乎完全非线性函数(almost perfect nonlinear)在密码学和通信领域中具有一定的应用价值。文章构造了几个形式为F(x)+f(x)(F(x)是APN函数或PN函数)的APN(或PN)函数和几个与Gold函数EA不等价的APN函数。
APN(almost perfect nonlinear) functions have many applications in cryptography and communications.This paper constructs several APN or PN functions with the form of F(x)+f(x) where F(x) is APN or PN functions.It also presents several APN functions which are all EA-inequivalent to Gold functions.