# The Combinatory Method (s) for the construction of generalized rectangular right angular (5) design.

### Description

The function GPBIB5 gives the configuration and the parametres of the design obtained by the construction method of GPBIB_5 (see 3.2 of the paper rezgui et al (2015)).

### Usage

1 | ```
GPBIB5(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 ? |

### Note

For w=2, the GPBIB_5 is a rectangular right angular (5) (PBIB_5)

### 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. http://dx.doi.org/10.4236/am.2015.62024

### See Also

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

1 2 3 4 5 | ```
n<-3
l<-3
s<-3
w<-3
GPBIB5(n, l, s, w)
``` |

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