IsoCheck (version 0.1.0)

star_to_spread: Converts a star to its corresponding spread

Description

A function that converts a balanced covering star St(n, mu, t, t_0) of PG(n-1,2) to its corresponding balanced ((t-t_0)-1)-spread of PG((n-t_0)-1,2).

Usage

star_to_spread(star)

Arguments

star

A balanced covering star of PG(n-1,2) stored as a three dimensional binary array (see Details and Examples of checkSpreadEquivalence).

Value

A balanced ((t-t_0)-1)-spread of PG((n-t_0)-1,2)

Details

Finds a balanced ((t-t_0)-1)-spread of PG((n-t_0)-1,2) embedded in PG(n-1,2) as conformable with the geometry of a balanced covering star St(n, mu, t, t_0) of PG(n-1,2). The star should be formatted as a 3-dimensional array with star[i,j,k] indicating whether or not the ith basic factor is present in the jth effect of the kth flat of star. See Spencer et al. (2019) for details.

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

is.spread for checking if the input is a balanced spread. checkSpreadIsomorphism for checking the isomorphism of balanced spreads. checkStarIsomorphism for checking the isomorphism of balanced covering stars.

Examples

# NOT RUN {
## Example 1: checking whether "starn8t5a" is a proper star
data(starn8t5a)
star_to_spread(starn8t5a)



## Example 2: checking whether "starn5t3a" is a proper star
data(starn5t3a)
star_to_spread(starn5t3a)
# }