How Can There Be Such a Coincidence? (2)

2. The Necessary Condition of the Existence Theorem Was Exactly the Same

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

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.

2.2 Existence Theorem in Lin(2008)

Where did 4k+2 come from? 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,

Figure 2.2.1 the proof entity in He(2009)(translited)

Figure 2.2.2 Proface of the proofs in Lin(2008)

2.3 Existence Theorem in Lin(2010)(p.7)

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