A balanced 2-star of PG(4,2)
data(starn5t3a)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 \(f_1=(A,E,CDE,AE,ACD,ACDE,CD)\), \(f_2 = (D,BC,BCD,AD,ABC,ABCD,A)\), \(f_3 = (C,BDE,BCDE,AC,ABDE,ABCDE,A)\), \(f_4 = (B,BCE,CE,AB,ACE,A,ABCE)\) and \(f_5=(DE,BD,BE,A,ABD,ABE,ADE)\).
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.