Spreads , Translation Planes and Kerdock Sets

@inproceedings{Kantor1982SpreadsT,
  title={Spreads , Translation Planes and Kerdock Sets},
  author={William M. Kantor},
  year={1982}
}
In an orthogonal vector space of type l)/(4n, q), a spread is a family of q2n-l+ totally singular 2n-spaces which induces a partition of the singular points; these spreads are closely related to Kerdock sets. In a 2m-dimensional vector space over GF(q), a spread is a family of q + subspaces of dimension m which induces a partition of the points of the underlying projective space; these spreads correspond to affine translation planes. By combining geometric, group theoretic and matrix methods… CONTINUE READING

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