utilitiesCreate.md
In SOAs: Creation of Stratum Orthogonal Arrays

utilitiesCreate

$A
      [,1] [,2] [,3] [,4] [,5] [,6]
 [1,]    0    0    0    0    0    0
 [2,]    2    2    2    0    1    2
 [3,]    1    1    1    0    2    1
 [4,]    1    0    1    2    2    2
 [5,]    0    2    0    2    0    1
 [6,]    2    1    2    2    1    0
 [7,]    2    0    2    1    1    1
 [8,]    1    2    1    1    2    0
 [9,]    0    1    0    1    0    2
[10,]    0    1    1    1    1    1
[11,]    2    0    0    1    2    0
[12,]    1    2    2    1    0    2
[13,]    1    1    2    0    0    0
[14,]    0    0    1    0    1    2
[15,]    2    2    0    0    2    1
[16,]    2    1    0    2    2    2
[17,]    1    0    2    2    0    1
[18,]    0    2    1    2    1    0
[19,]    0    2    2    2    2    2
[20,]    2    1    1    2    0    1
[21,]    1    0    0    2    1    0
[22,]    1    2    0    1    1    1
[23,]    0    1    2    1    2    0
[24,]    2    0    1    1    0    2
[25,]    2    2    1    0    0    0
[26,]    1    1    0    0    1    2
[27,]    0    0    2    0    2    1

$B
      [,1] [,2] [,3] [,4] [,5] [,6]
 [1,]    0    0    0    0    0    0
 [2,]    0    0    1    0    1    1
 [3,]    0    0    2    0    2    2
 [4,]    1    0    0    1    0    1
 [5,]    1    0    1    1    1    2
 [6,]    1    0    2    1    2    0
 [7,]    2    0    0    2    0    2
 [8,]    2    0    1    2    1    0
 [9,]    2    0    2    2    2    1
[10,]    0    1    0    1    1    0
[11,]    0    1    1    1    2    1
[12,]    0    1    2    1    0    2
[13,]    1    1    0    2    1    1
[14,]    1    1    1    2    2    2
[15,]    1    1    2    2    0    0
[16,]    2    1    0    0    1    2
[17,]    2    1    1    0    2    0
[18,]    2    1    2    0    0    1
[19,]    0    2    0    2    2    0
[20,]    0    2    1    2    0    1
[21,]    0    2    2    2    1    2
[22,]    1    2    0    0    2    1
[23,]    1    2    1    0    0    2
[24,]    1    2    2    0    1    0
[25,]    2    2    0    1    2    2
[26,]    2    2    1    1    0    0
[27,]    2    2    2    1    1    1

$D
      [,1] [,2] [,3] [,4] [,5] [,6]
 [1,]    0    0    0    0    0    0
 [2,]    6    6    7    0    4    7
 [3,]    3    3    5    0    8    5
 [4,]    4    0    3    7    6    7
 [5,]    1    6    1    7    1    5
 [6,]    7    3    8    7    5    0
 [7,]    8    0    6    5    3    5
 [8,]    5    6    4    5    7    0
 [9,]    2    3    2    5    2    7
[10,]    0    4    3    4    4    3
[11,]    6    1    1    4    8    1
[12,]    3    7    8    4    0    8
[13,]    4    4    6    2    1    1
[14,]    1    1    4    2    5    8
[15,]    7    7    2    2    6    3
[16,]    8    4    0    6    7    8
[17,]    5    1    7    6    2    3
[18,]    2    7    5    6    3    1
[19,]    0    8    6    8    8    6
[20,]    6    5    4    8    0    4
[21,]    3    2    2    8    4    2
[22,]    4    8    0    3    5    4
[23,]    1    5    7    3    6    2
[24,]    7    2    5    3    1    6
[25,]    8    8    3    1    2    2
[26,]    5    5    1    1    3    6
[27,]    2    2    8    1    7    4

$A
      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
 [1,]    0    0    0    0    0    0    0    0    0     0
 [2,]    0    0    0    0    1    1    1    1    1     1
 [3,]    0    1    1    1    0    0    0    1    1     1
 [4,]    0    1    1    1    1    1    1    0    0     0
 [5,]    0    0    1    1    0    1    1    0    1     1
 [6,]    0    0    1    1    1    0    0    1    0     0
 [7,]    0    1    0    0    0    1    1    1    0     0
 [8,]    0    1    0    0    1    0    0    0    1     1
 [9,]    1    0    0    1    1    0    1    1    0     1
[10,]    1    0    0    1    0    1    0    0    1     0
[11,]    1    1    1    0    1    0    1    0    1     0
[12,]    1    1    1    0    0    1    0    1    0     1
[13,]    1    0    1    0    1    1    0    1    1     0
[14,]    1    0    1    0    0    0    1    0    0     1
[15,]    1    1    0    1    1    1    0    0    0     1
[16,]    1    1    0    1    0    0    1    1    1     0

$B
      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
 [1,]    0    0    0    0    0    0    0    0    0     0
 [2,]    0    1    0    0    1    0    0    1    0     0
 [3,]    0    0    0    1    1    0    0    0    0     0
 [4,]    0    1    0    1    0    0    0    1    0     0
 [5,]    1    0    1    0    0    1    1    0    1     1
 [6,]    1    1    1    0    1    1    1    1    1     1
 [7,]    1    0    1    1    1    1    1    0    1     1
 [8,]    1    1    1    1    0    1    1    1    1     1
 [9,]    0    0    1    1    0    0    1    0    0     1
[10,]    0    1    1    1    1    0    1    1    0     1
[11,]    0    0    1    0    1    0    1    0    0     1
[12,]    0    1    1    0    0    0    1    1    0     1
[13,]    1    0    0    1    0    1    0    0    1     0
[14,]    1    1    0    1    1    1    0    1    1     0
[15,]    1    0    0    0    1    1    0    0    1     0
[16,]    1    1    0    0    0    1    0    1    1     0

$D
      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
 [1,]    0    0    0    0    0    0    0    0    0     0
 [2,]    0    1    0    0    3    2    2    3    2     2
 [3,]    0    2    2    3    1    0    0    2    2     2
 [4,]    0    3    2    3    2    2    2    1    0     0
 [5,]    1    0    3    2    0    3    3    0    3     3
 [6,]    1    1    3    2    3    1    1    3    1     1
 [7,]    1    2    1    1    1    3    3    2    1     1
 [8,]    1    3    1    1    2    1    1    1    3     3
 [9,]    2    0    1    3    2    0    3    2    0     3
[10,]    2    1    1    3    1    2    1    1    2     1
[11,]    2    2    3    0    3    0    3    0    2     1
[12,]    2    3    3    0    0    2    1    3    0     3
[13,]    3    0    2    1    2    3    0    2    3     0
[14,]    3    1    2    1    1    1    2    1    1     2
[15,]    3    2    0    2    3    3    0    0    1     2
[16,]    3    3    0    2    0    1    2    3    3     0