Advances and Applications in Discrete Mathematics
Volume 12, Issue 2, Pages 179 - 206
(October 2013)
|
|
NEW ASSOCIATION SCHEMES WITH 4, 5 AND 7 ASSOCIATED CLASSES AND THEIR ASSOCIATED PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS
Imane Rezgui, Z. Gheribi-Aoulmi and H. Monod
|
Abstract: In this paper, new association schemes with associated classes are described and called rectangular right angular association schemes and their parameter expressions are given. Moreover, the partially balanced incomplete block (PBIB) designs based on those association schemes are constructed and their parameters are specified, using an original method of construction of rectangular partially balanced incomplete block (PBIB) designs of size from rectangular association schemes of treatments, and the special case provides singular group divisible designs. |
Keywords and phrases: rectangular association scheme, right angular association scheme, partially balanced incomplete block design, group divisible design, nested group divisible design. |
|
Number of Downloads: 241 | Number of Views: 732 |
|