Steps function

Nested Resolvable Designs and associated Uniform Designs in different stages.

Gives the different stages of nested design begening from a projective geometry, BIBD, BIBD seconde generation, RBIBD and associated uniform designs.

Steps(m, n, stage = "all")

Arguments

• m: Dimension of the projective geometry defined on GF(2).
• n: The sub-variety of the block to be deleted.
• stage: Stage of recurrence wanted (single value or vector) : 'all' Print all designs. 'S1' Print the configurations of BIB of first generation. 'S2' Print the configurations of BIB of seconde generation. 'S3' Print the configurations of RBIB. 'S4' Print the configurations of the uniform designs associate to each nested resolvable.

Returns

A LIST, with the parametrs and the configurations on each stages of recurrence.

Examples

## Not run:

list1<-Steps(4,1) #Get all stages : of the PG(4,2)

list2<-Steps(4,1,c('S1','S2')) #Get the 2 first stages : of the PG(4,2)

list3<-Steps(4,1,c('S1','S4')) #Get the first & the last stage : of the PG(4,2)

list4<-Steps(4,1,'S4') #Get the last stage : of the PG(4,2)
## End(Not run)

Author(s)

Mohamed Laib, Abla Boudraa and Zebida Gheribi-Aoulmi

References

Gheribi-Aoulmi. Z and M. Bousseboua Recursive methods for construction of balanced n-ary block designs. Serdica Math.J (31), 2005,189-200