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

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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

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GPBIB7A(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.

  • lambda Vector of m-lambda.

  • Resolvable Is the design Resolvable ?

Note

For w=2, the GPBIB_7 is a rectangular right angular (7) (PBIB_7).

Author(s)

Mohamed Laib, Imane Rezgui, Zebida Gheribi-Aoulmi and Herve Monod

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

GPBIB7B and UType

Examples

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

## End(Not run)