密码函数安全准则的一种新刻划

New characterizing on security criterions of cryptographic functions

为了更好地认识密码函数的性质 ,引入了一些新的指标 ,讨论了这些指标之间的关系 ,用这些指标刻划了密码函数的一些安全准则 ,给出了非线性度新的上界 ,说明了这些上界与一般上界之间的关系 ,最后给出了 Bent函数的新定义及其它等价定义。

For recognizing the characters of cryptographic functions furthermore,some new indexes are introduced and their relationships are discussed.On the basis of these indexes,several security criteria of cryptographic functions are characterized,and the upper bounds of non-linearity and the relationship between these upper bounds and the generic upper bound are showed.Finally,a new definition and its equivalence definitions of Bent functions are given.