【摘要】 APN(almost perfect nonlinear)函数即几乎完全非线性函数,在现代密码学领域有着广泛的应用。由于它具有较低的差分一致性,所以主要用来构造分组密码体制中的S盒。文中介绍了APN函数的性质和应用,给出了各类APN函数的构造和研究现状,并提出了一类新的APN函数。更多还原

【Abstract】 APN(almost perfect nonlinear)function has universal application in cryptography,and the main use of APN function is to construct the S-box in DES for its small differential uniformity.The properties and applications of APN functions are introduced,and given the construction and recent results of them.Furthermore,a new family of APN functions has been presented.更多还原