The Facts of the Academic Stealing

Exactly the Same Part to He (2009)

The system design of He(2009) and almost all the innovative elements including the definition of basic concept, theorem of existence, optimization criterion, exchange algorithm, the definition of stacking operation and the stacking principle of orthogonal matrices appear systematically in Lin‘s papers.

1. The Optimization Objective Function is Exactly the Same

Figure 1.1 Optimization Objective Function in He(2009)(p.1)

Figure 1.2.1 Optimization criterion in Lin2009(p.4)

Figure 1.2.2 Optimization criterion in Lin2010 (p.13)

Figure 1.3 ρ(M) in Bingham(2009) who is Lin's collaborator, that is mcc，

2。The Necessary Condition of the Existence Theorem is Exactly the Same

In English： A necessary condition for the existence of the zero correlation designs is that m is either an odd number greater than 3, or a multiple of 4. The zero correlation arrays don't exist if the run size of the design is 4k+2, where k is a positive integer.

Figure 2.1 Existence Theorem in He(2009)p.3

Figure 2.2.1 Existence Theorem in Lin(2008) , Where did 4k+2 come from?

Figure 2.2.2 Existence Theorem in Lin(2010)(p.7),

Where did 4k+2 come from? Comparing the ideas of the two proofs

Figure 2.3.1 the proof entity in He(2009)

Figure 2.3.2 Proface of the proofs in Lin(2008)

Comparing the proof ideas of both sides, Lin (2008)'s syllogistic proof outline is drawn from proof of the theorem in He (2009)。The proof entity is replaced, and the proof entity of Lin (2009) is seriously unqualified, see <2.4 The proof deviates significantly from the specification of proof for proposition>.

3 The Exchange Algorithm is Exactly the Same

Figure 3.1 The Exchanging Algorithm in He(2009) (translated)

Figure 3.2 The Exchanging Algorithm in Lin(2008)p.33 and in Lin(2010)p.10。

Let me restore C.D.Lin's formula one step forward, which is what she should at least do. We will discuss her excessive omission later.

4. The Stacking Operation for the Matrices and the Stacking Principle for the Orthogonal Designs Are the Same

Figure 4.1 The stacking Principle and its proof in He (2009) (translated)

Figure 4.2 The stacking principle in Lin(2008)p.40 (Lin(2010)p.8)

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