# spreadn6t2c: Data: A cyclic 1-spread of PG(5,2) In IsoCheck: Isomorphism Check for Multi-Stage Factorial Designs with Randomization Restrictions

## Description

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

## Usage

 `1` ```data(spreadn6t2c) ```

## Format

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.

## 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]

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