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© March 25, 2007 Lorentz JÄNTSCHI

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Question: being given a number of experiments (n), how many variables can be used (maximum) and with which number of levels every one in order to represent an orthogonal array?
This project is underrun. Following results are already provided.

n	A	B	C
4	4	4	2
4	2	2	2

n	A	B	C
6	6	3	3
6	3	3	3
6	3	3	2

n	A	B	C	D	E	F	G
8	4	4	4	4	2	2	2
8	4	4	2	2	2	2	2
8	2	2	2	2	2	2	2
8	8	8	8	4	4	2	-
8	8	4	4	4	2	2	-
8	8	4	2	2	2	2	-
8	8	8	8	2	2	-	-
8	8	8	2	2	2	-	-
8	8	4	4	4	2	-	-

n	A	B	C	D	E
9	3	3	3	3	3
9	9	9	9	9	-
9	9	9	3	3	-
9	9	3	3	3	-

Following number's of experiments were also investigated:

10 (two solutions)

12 (18 solutions)

14 (one solution)

15 (two solutions)

16 (three solutions)

18 (one solution)
Behind data are open in terms of collaboration.