Outline

1.

Difference Methods

2.

Block Designs

3.

Projective Geometries

4.

Hadamard Matrices

5.

Mutually Orthogonal Latin Squares

(a)

Orthogonal Arrays

(b)

Pairwise balanced designs and PBD construction

(c)

Self Orthogonal Latin Squares

6.

Symmetric Designs

7.

Steiner Systems

(a)

Steiner Triple Systems

i.

Direct Constructions

ii.

Cyclic Constructions including Skolem Sequences

(b)

Kirkman Triple systems

(c)

t-designs