On affine designs and GMW difference sets
A bound on the 2-rank of an affine designs obtained from a Hadamard design with a line spread via Rahilly's construction is proved and applied to Hadamard designs related to difference sets of GMW type. Some questions motivated by the recent discovery of new counter-examples to the conjectures of A... and Hamada about characterizing geometric designs in terms of their rank are discussed.
Proceedings of the Conference 'Finite Geometries, Groups, and Computation'
On affine designs and GMW difference sets.
Proceedings of the Conference 'Finite Geometries, Groups, and Computation', 237-246.
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