CombinS (version 1.1-1)

GPBIB4B: Generalized rectangular right angular (4) design with $lambda4$ not equal to 0

Description

Gives the configuration and the parametres of the design obtained by the seconde construction method of GPBIB_4 (see 3.1.2 of the paper rezgui et al (2015)).

Usage

GPBIB4B(n, l, s, w)

Arguments

n

Number of lines of the association schemes array.

l

Number of columns of the association schemes array.

s

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

w

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.
• lamda 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.

See Also

GPBIB4A and UType

Examples

## Not run: 
# n<-3
# l<-3
# s<-3
# w<-3
# GPBIB4B(n, l, s, w)
# ## End(Not run)