spreadn6t2c {IsoCheck}

Data: A cyclic 1-spread of PG(5,2)

Description

A balanced 1-spread of PG(5,2) obtained via cyclic construction

Usage

data(spreadn6t2c)

Format

The spread 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 spread.

Details

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}=(ACE,AF,CEF), f_{20}=(CF,BD,BCDF), and f_{21}=(ABCD,AEF,BCDEF).

Note

In R, the data must be loaded using the data function.

Author(s)

Neil Spencer, Pritam Ranjan, Franklin Mendivil

References

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]

See Also

checkSpreadIsomorphism for checking the isomorphism of balanced spreads.
checkStarIsomorphism for checking the isomorphism of balanced covering stars.