Affine Designs and the Geometry of Frequency Squares

Vassili Mavron

The talk will consist of a short survey of affine designs in various guises as, for example, orthogonal arrays, nets, TDs or generalised Hadamard matrices. The last part of the talk will describe a generalisation of Bose's theorem for MOLs to frequency squares and show how this unifies the various types of complete sets of mutually orthogonal frequency squares listed in the CRC handbook.