GPBIB7A: Generalized rectangular right angular (7) design with $lambda(i)$ equal to $lamda(i+4)$ $(i=1,...,4)$

Description

gives the configuration and the parametres of the design obtained by the first construction method of GPBIB_7 (see 3.3.1 of the paper rezgui et al (2015))

Usage

GPBIB7A(n, l, s, w)

Arguments

Number of lines of the association schemes array.

Number of columns of the association schemes array.

Number of the token treatments from the same row of the association scheme.

Number of the association scheme arrays.

Value

A LIST :

PBIB The configuration of the PBIB.
Type The type of the design
V Number of treatments.
B Number of blocs.
R Repetition of each treatment.
K Size of blocs.
lambda Vector of m-lambda.
Resolvable Is the design Resolvable ?

References

Imane Rezgui, Z. Gheribi-Aoulmi and H. Monod (2015). U-type Designs via New Generalized Partially Balanced Incomplete Block Designs with m = 4, 5 and 7 Associated Classes, Applied mathematics, 6, 242-264.

Imane Rezgui, Z.Gheribi-Aoulmi and H. Monod, New association schemes with 4, 5 and 7 associated classes and their associated partially balanced incomplete block designs; Advances and Applications in Discrete Mathematics Vol.12 Issue 2 197-206.

Examples

Run this code

## Not run: 
# n<-3
# l<-3
# s<-3
# w<-3
# GPBIB7A(n, l, s, w)
# ## End(Not run)