Abstract
In this paper, we consider the problem of constructing partitions of the points of a Hermitian unital into pairwise disjoint blocks, commonly known as spreads. We generalize a construction of Baker et al. (In Finite Geometry and Combinatorics, Vol. 191 of London Math. Soc. Lecture Not Ser., pages 17–30. Cambridge University Press, Cambridge, 1993.) to provide a new infinite family of spreads. Morover, we develop a structural connection between these new spreads of the Hermitian unital in PG(2, q2) and the subregular spreads of PG(3, q), allowing us to christen a new “subregular” family of spreads in the Hermitian unital in PG(2, q2).
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Communicated by: S. Ball
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Dover, J. Subregular Spreads of Hermitian Unitals. Des Codes Crypt 39, 5–15 (2006). https://doi.org/10.1007/s10623-005-2141-x
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DOI: https://doi.org/10.1007/s10623-005-2141-x