spreadn6t3a {IsoCheck} | R Documentation |
A balanced 2-spread of PG(5,2) obtained via cyclic construction
data(spreadn6t3a)
The spread is formatted as a 3-dimensional array, where the [i,j,k]
-th element indicates whether or not the i
th basic factor is present in the j
th effect of the k
th flat of the spread.
The spread consists of 9 subspaces f_1, f_2, ..., f_9
each of size 7. The subspaces are
f_1=(A,EF,AEF,BCE,ABCE,BCF,ABCF)
, f_2 = (B,AF,ABF,CDF,BCDF,ACD,ABCD)
, f_3 = (C,AB,ABC,ADE,ACDE,BDE,BCDE)
, f_4 = (D,BC,BCD,BEF,BDEF,CEF,CDEF)
, f_5=(E,CD,CDE,ACF,ACEF,ADF,ADEF)
, f_6=(F,DE,DEF,ABD,ABDF,ABE,ABEF)
, f_7=(BD,BF,DF,ACE,ABCDE,ABCEF,ACDEF)
,
f_8=(AC,CE,AE,BDF,ABCDF,BCDEF,ABDEF)
and f_9=(AD,BE,ABDE,CF,ACDF,BCEF,ABCDEF)
.
In R, the data must be loaded using the data
function.
Neil Spencer, Pritam Ranjan, Franklin Mendivil
Spencer, N.A., Ranjan, P., and Mendivil, F., (2019), "Isomorphism Check for 2^n
Factorial Designs with Randomization Restrictions", Journal of Statistical Theory and Practice, 13(60),1-24 [https://doi.org/10.1007/s42519-019-0064-5]
checkSpreadIsomorphism
for checking the isomorphism of balanced spreads.
checkStarIsomorphism
for checking the isomorphism of balanced covering stars.