Cocyclic Development of Designs

  title={Cocyclic Development of Designs},
  author={Kathy J. Horadam and Warwick de Launey},
We present the basic theory of cocyclic development of designs, in which group development over a finite group G is modified by the action of a cocycle defined on G x G. Negacyclic and w-cyclic development are both special cases of cocyclic development. Techniques of design construction using the group ring, arising from difference set methods, also apply to cocyclic designs. Important classes of Hadamard matrices and generalized weighing matrices are cocyclic. We derive a characterization of… CONTINUE READING

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