Partially Balanced Weighing Designs with Two Association Classes

Partial Difference Sets and Partially Balanced Weighing Designs for Calibration and Tournaments

Generalized Bhaskar Rao designs with two association classes

In previous work generalized Bhaskar Rao designs whose underlying design is a b~lanced incomplete block design have been considered. In the first section of this paper generalized Bhaskar Rao designs (with 2 association classes) whose underlying design is a group divisible design are defin~d. Some methods for the construction of these designs are developed in the second section. It is shown tha...

Applying Balanced Generalized Weighing Matrices to Construct Block Designs

Balanced generalized weighing matrices are applied for constructing a family of symmetric designs with parameters (1 + qr(rm+1 − 1)/(r − 1), rm, rm−1(r − 1)/q), where m is any positive integer and q and r = (qd − 1)/(q − 1) are prime powers, and a family of non-embeddable quasi-residual 2−((r+1)(rm+1−1)/(r−1), rm(r+ 1)/2, rm(r− 1)/2) designs, where m is any positive integer and r = 2d− 1, 3 · 2...

On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs

e . - ON LINEAR ASSOCIATIVE ALGEBRAS CORRESPONDING TO ASSOCIATION SCHEMES OF PARTIALLY BALANCED DESIGNS

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