Research on Whole Max Ordinal in Combinatorics Coding Technology

Combinatorics coding is a new data coding method based on combinatorics. Ordinal computing is the core in the combinatorics coding technology and ordinal computing lies on whole max ordinal computing. So whole max ordinal in combinatorics coding technology is researched in this paper. At first, the combinatorics coding theory and the correlative basic concepts are described. Then, the property of the whole max ordinal is opened out by the correlative proved theorem. The research indicates that the length of the whole max ordinal is smaller than the length of the sequence, and the difference of the sequence length and the whole max ordinal length increases along with the increase of the sequence length. The research of the whole max ordinal is of great significance to the development of the combinatorics coding technology.