Abstract
In the present paper, we have discussed the construction of constant block-sum designs using Galois field. In this direction, the construction of constant block-sum Youden-m square designs and the constant block-sum Partially Balanced Incomplete Block (PBIB) designs has been discussed. In addition to this, a generalized m-associate class association scheme, on which the PBIB designs constructed in this paper are based, is also discussed.
Acknowledgments
The authors are highly thankful to the reviewer for suggesting valuable additions and corrections which make the paper more presentable.