spreadn6t2a {IsoCheck} | R Documentation |
A balanced 1-spread of PG(5,2) obtained via cyclic construction
data(spreadn6t2a)
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 21 subspaces f_1, f_2, ..., f_{21}
given by
f_1=(F,ABCEF,ABCE)
, f_2 = (E,ABDF, ABDEF)
, f_3 = (D,ACF, ACDF)
, f_4 = (C,BF, BCF)
, f_5=(B,AE, ABE)
, f_6=(A,DEF, ADEF)
, f_7=(EF,CDE,CDF)
, f_8=(DE,BCD,BCE)
, f_9=(CD,ABC,ABD)
, f_{10}=(BC,ABEF,ACEF)
, f_{11}=(AB,ADF,BDF)
, f_{12}=(DF,BE,BDEF)
, f_{13}=(CE,AD,ACDE)
, f_{14}=(AC,BDE,ABCDE)
, f_{15}=(BEF,ACD,ABCDEF)
, f_{16}=(ADE,BCEF,ABCDF)
, f_{17}=(CDEF,ABDE,ABCF)
, f_{18}=(BCDE,ACDEF,ABF)
, f_{19}=(ABCD,BCDF,AF)
, f_{20}=(AEF,CF,ACE)
, and f_{21}=(BD,CEF,BCDEF)
.
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.