基于旋转对称轨道的数对分布矩阵的性质,给出了所有7元旋转对称2-弹性函数的具体构造.结果表明,在F72 上有且仅有280个非线性旋转对称2-弹性函数.进一步地,对于任意的奇数k,在F72 k上至少有280个非线性旋转对称2-弹性函数.
Based on the properties of the 2-tuples distribution matrix of the rotation symmetric orbits,all 7-variable 2-resilient rotation symmetric Boolean functions were constructed concretely.The results show that there are only 280 nonlinear 2-resilient rotation symmetric Boolean functions over F 72.Furthermore,there are at least 280 nonlinear 2-resilient rotation symmetric Boolean functions over F 72 k for any odd number k.