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Some two-character sets

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Abstract

Some new examples of two-character sets with respect to planes of PG(3, q 2), q odd, are constructed. They arise from three-dimensional hyperbolic quadrics, from the geometry of an orthogonal polarity commuting with a unitary polarity. The last examples arise from the geometry of the unitary group PSU(3, 3) acting on the split Cayley hexagon H(2).

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Contrada Macchia Romana, 85100, Potenza, Italy

    Antonio Cossidente

  2. School of Mathematics and Statistics, Newcastle University, Newcastle Upon Tyne, NE1 7RU, England, UK

    Oliver H. King

Authors
  1. Antonio Cossidente
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  2. Oliver H. King
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Correspondence to Oliver H. King.

Additional information

Communicated by Leo Storme.

Dedicated to the memory of András Gács (1969–2009).

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Cossidente, A., King, O.H. Some two-character sets. Des. Codes Cryptogr. 56, 105–113 (2010). https://doi.org/10.1007/s10623-010-9394-8

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  • DOI: https://doi.org/10.1007/s10623-010-9394-8

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