It is already known that there are several nonlinearity criteria such as algebrajc degree,nonlinearity,distance to linear structures,correlation immune,propagation criterion,differential uniformity,which are used to c...It is already known that there are several nonlinearity criteria such as algebrajc degree,nonlinearity,distance to linear structures,correlation immune,propagation criterion,differential uniformity,which are used to check whether a cryptographic function is weak or not,in this paper we will discuss these criteria from a valuation point of view,and consider the largest transformation group which leave a criterion invariant,which is named its symmetry group.it can serve as a way of coparing the stability of nonlinearity criteria under the action of invertible transformations.展开更多
基金This research is supported by the National Natural Science Foundation of China(19831070)
文摘It is already known that there are several nonlinearity criteria such as algebrajc degree,nonlinearity,distance to linear structures,correlation immune,propagation criterion,differential uniformity,which are used to check whether a cryptographic function is weak or not,in this paper we will discuss these criteria from a valuation point of view,and consider the largest transformation group which leave a criterion invariant,which is named its symmetry group.it can serve as a way of coparing the stability of nonlinearity criteria under the action of invertible transformations.
