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Some two-character sets
Authors:Antonio Cossidente  Oliver H King
Institution:1. Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Contrada Macchia Romana, 85100, Potenza, Italy
2. School of Mathematics and Statistics, Newcastle University, Newcastle Upon Tyne, NE1 7RU, England, UK
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).
Keywords:
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