Relationship of the properties in the e-business security

This paper researched the relationship of the properties of Boolean functions between the balancedness and others, because the significance of the cryptography functions for electronic business. The research is based on the main properties of Boolean functions. And the cycle Walsh spectrum theory is used in the study. Finally the results that the existence of balanced Boolean functions satisfying correlation immune of order in, or satisfying propagation criterion of certain degree under some conditions are aiven. Using these results, the safer Boolean functions, which have balancedness and other properties can be constructed.