The bose
program
produces OA( q^2, k, q, 2 )
, k <= q+1
for prime powers q
.
createBose(q, ncol, bRandom = TRUE)
the number of symbols in the array
number of parameters or columns
should the array be randomized
an orthogonal array
From Owen: An orthogonal array A
is a matrix of n
rows, k
columns with every element being one of q
symbols
0,...,q-1
. The array has strength t
if, in every n
by t
submatrix, the q^t
possible distinct rows, all appear
the same number of times. This number is the index
of the array, commonly denoted lambda
. Clearly,
lambda*q^t=n
. The notation for such an array is OA( n, k, q, t )
.
Owen, Art. Orthogonal Arrays for: Computer Experiments, Visualizations, and Integration in high dimensions. https://lib.stat.cmu.edu/designs/oa.c. 1994 R.C. Bose (1938) Sankhya Vol 3 pp 323-338
Other methods to create orthogonal arrays [createBush()], [createBoseBush()], [createAddelKemp()], [createAddelKemp3()], [createAddelKempN()], [createBusht()], [createBoseBushl()]
A <- createBose(3, 3, FALSE)
B <- createBose(5, 4, TRUE)