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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.

Constant block-sum Youden-m square and PBIB designs using Galois field