A balanced 2-star of PG(4,2)
data(starn5t3b)The star is formatted as a 3-dimensional array, where the [i,j,k]-th element indicates whether or not the ith basic factor is present in the jth effect of the kth flat of the star.
The star consists of five subspaces \(f_1, f_2, f_3, f_4, f_5\) given by \(f_1=(ABC,AC,CDE,B,BCDE,ABDE,ADE)\), \(f_2 = (AE,DE,AD,BCE,ABCDE,BCD,ABC)\), \(f_3 = (D,C,CD,ABCD,AB,ABD,ABC)\), \(f_4 = (E,ACDE,ACD,ABCE,BD,ABC,BDE)\) and \(f_5=(CE,A,ACE,ABC,BC,BE,ABE)\).
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.