spreadn6t2b {IsoCheck} | R Documentation |
A balanced 1-spread of PG(5,2) obtained via cyclic construction
data(spreadn6t2b)
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=(EF,BCD,BCDEF)
, f_2 = (A,ACF,CF)
, f_3 = (B,ABCDE,ACDE)
, f_4 = (DF,F,D)
, f_5=(E,BC,BCE)
, f_6=(ABC,ABEF,CEF)
, f_7=(AEF,ABDF,BDE)
, f_8=(AB,BDEF,ADEF)
, f_9=(BDF,ABCDEF,ACE)
, f_{10}=(DEF,BCF,BCDE)
, f_{11}=(ABCE,ACEF,BF)
, f_{12}=(BEF,AE,ABF)
, f_{13}=(ADF,AC,CDF)
, f_{14}=(ABCDF,ABE,CDEF)
, f_{15}=(AF,ACDF,CD)
, f_{16}=(C,AD,ACD)
, f_{17}=(ABDE,CE,ABCD)
, f_{18}=(ABDEF,CDE,ABCF)
, f_{19}=(ACDEF,BD,ABCEF)
, f_{20}=(BCEF,DE,BCDF)
, and f_{21}=(BE,ADE,ABD)
.
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.