运用矩阵分析的方法,通过对2p元2-阶旋转对称弹性函数轨道的研究(p≥3,p为素数),给出了其特征矩阵的若干性质.得到了所有的4元2-阶旋转对称布尔函数为弹性函数以及2p元2-阶旋转对称布尔函数为弹性函数的一个充要条件,将这类函数的构造和计数问题转化为3个方程组的求解问题,由此完全决定了2p元2-阶旋转对称弹性函数的构造和这类函数的计数方法. By using the method of matrix analysis, we give some properties of the eigenmatrix of a 2p-ary 2-order rotationally symmetric elastic function orbit (p≥3, p is a prime number), and get all 4-ary 2- A symmetric Boolean function is a necessary and sufficient condition for the elasticity function and the 2p-order 2-order rotationally symmetric Boolean function as the elasticity function. The construction and counting of such functions are transformed into solving equations of 3 equations, thus completely determining 2p Construction of 2-order rotationally symmetric elastic function and counting method of such functions.