There are two construction methods for zero-correlation and weak-correlated design (or OLHD-NOLH): direct construction and extended construction. The direct construction method is the foundation, and its result is like the seed, and the extended construction method uses the existing resources to construct some larger design matrices. In October 2005, I designed a construction system on an economical laptop, explored the construction conditions, and successively constructed a set of weak correlation matrices with runs rang from 4 to 33. When n≠4k+2, contains zero-correlated subarrays, He (2009) states that these results exist.

C.D.Lin claims to have constructed OLHDs in the range n=4--21 and NOLHs up to 22 by direct construction, and keeps claiming that these results "were obtained by a computer search." and that "these are new". She Used mcc and exchanging method, and lie when you run out. Without these two technical elements, no matter how good a computer is, it is impossible to search for a zero correlation design with n=21 (Lin named it OLHD) and a weak correlation design with n=22 (NOLH). The form and content of her results are the same as those of He (2009), and the construction methods and procedures are suspected of imitating the construction procedures for the zero correlation and weak correlationof He (2009) . There are signs of theft everywhere in his doctoral dissertation.

5.1 On Symbols of Permutation Sets

The permutation set is a basic concept, But the notation of permutation sets with the symbol S is unique to He (2009). It is no coincidence that C.D.Lin frequently used the exact same symbol "S" as He (2009) without definition in her doctoral thesis, her "S" is stoling from He(2009). It is more interesting to define the permutation set and change a symbol in Lin(2009).

Figure 5.1.1 The permutation set definition in He(2009) and denoted by the symbol S

It is defined in my original manuscript as follows: "Let m be a positive integer, H_m={i|i=1,2,...,m} denote a set of integers from 1 until m , the subscript m represents the number of elements in the set. Any arrangement of elements of H_m is a vector of the positive integers in m-dimensional real Euclidean space E _m There are (m!) different arrangements, and they form a set, denoted as S_m.

There are many concepts and symbols that are the same as He (2009) in C.D.Lin's doctoral thesis because she was rushing to submit it without carefully examine which is no coincidence but important evidence for stealing He (2009).

5.2 The construction method for OLHD was the same as the sequential construction method for the zero-correlation designin in He(2009)

5.3 The construction method for NOLH was the same as the sequential construction method for weak correlation design in He (2009)