Research on Ordinal Properties in Combinatorics Coding Method

Combinatorics coding is a new data coding method based on combinatorics. Ordinal computing is the core technology of in the combinatorics coding. Ordinal properties of combinatorics coding is studied in this paper. Firstly, the combinatorics coding theory and the correlative basic concepts are described. Then, the properties of the ordinal are revealed. The study indicates that the value of ordinal have a close relationship with the selection of benchmark sequence. The size of ordinal is correlative with the distributing of character frequency in the sequence.The length of the sequence should be longer than the length of the ordinal and this conclude is proved by the theory. Moreover, the difference of the initial sequence length and the whole max ordinal length is increased along with the increase of the initial sequence length pvoved by the experiment and theory. The research on ordinal properties is of great significance to the development of the combinatorics coding technology.