Goethals-Seidel Difference Families with Symmetric or Skew Base Blocks

@article{Dokovic2018GoethalsSeidelDF,
  title={Goethals-Seidel Difference Families with Symmetric or Skew Base Blocks},
  author={Dragomir Z. Dokovic and Ilias S. Kotsireas},
  journal={Mathematics in Computer Science},
  year={2018},
  volume={12},
  pages={373-388}
}
We single out a class of difference families which is widely used in some constructions of Hadamard matrices and which we call Goethals–Seidel (GS) difference families. They consist of four subsets (base blocks) of a finite abelian group of order v, which can be used to construct Hadamard matrices via the well-known Goethals–Seidel array. We consider the special class of these families in cyclic groups, where each base block is either symmetric or skew. We omit the well-known case where all… CONTINUE READING

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