spreadn6t3b {IsoCheck} | R Documentation |
A balanced 2-spread of PG(5,2) obtained via cyclic construction
data(spreadn6t3b)
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=(ABC,AEF,BCEF,ADEF,BCDEF,D,ABCD)
, f_2 = (E,ABCEF,ABCF,BDE,BD,ACDF,ACDEF)
, f_3 = (DF,ABCE,ABCDEF,C,CDF,ABE,ABDEF)
, f_4 = (B,DEF,BDEF,AF,ABF,ADE,ABDE)
, f_5=(A,BDF,ABDF,ABCDE,BCDE,ACEF,CEF)
, f_6=(EF,AB,ABEF,ACE,ACF,BCE,BCF)
,
f_7=(BE,F,BEF,BCDF,CDEF,BCD,CDE)
,
f_8=(ABCDF,ADF,BC,BF,ACD,ABD,CF)
and
f_9=(AC,AE,CE,DE,ACDE,AD,CD)
.
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.