Construction And Counting Of A Class Of Balanced Symmetric Boolean Functions

Cryptography characteristics of Boolean function is an important part in the design of the private key password,so the balance structure of symmetric Boolean function and enumeration has very important theoretical significance.Mo Jiao pointed out that based on combinatorial identities such as structural balance method of symmetric Boolean function.This method can be changed by looking for simplify knapsack equation of combinatorial identities solving knapsack equation solution,thus constructs the corresponding balanced symmetric Boolean function.In this paper,by looking for the special combinatorial identity method, we construct the lower bound of the number of the balanced symmetric Boolean functions of some specific elements.