A New Bijective Function and Its Application

Quandang Sun, Hualei Shen, Lin Yan · 2009

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 hnfrom natural numbers set N and its n-ary Cartesian product set Nnhas been proposed in this paper. At the same time, the inverse relation of hnhas also been proposed. Using these two new bijective functions, interconversion between elements in data set N and Nncan be easily performed. Finally, advantages of these two new bijective functions in the application of data security communication have been demonstrated.

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