A New Bijective Function and Its Application

Data conversion between different data sets is an important research issue in computer science. Because of its computational complexity and demand for high accuracy, many data conversion problems arising in application can not be solved effectively. Based on the analysis of construction method, a new bijective function h_n from natural numbers set N and its n-ary Cartesian product set Nⁿ has been proposed in this paper. At the same time, the inverse relation of h_n has also been proposed. Using these two new bijective functions, interconversion between elements in data set N and Nⁿ can be easily performed. Finally, advantages of these two new bijective functions in the application of data security communication have been demonstrated.