Unitals in the Desarguesian projective plane of order 16

John Bamberg; A. Betten; Cheryl Praeger; A. Wassermann

doi:10.1016/j.jspi.2012.10.006

Unitals in the Desarguesian projective plane of order 16

John Bamberg, A. Betten, Cheryl Praeger, A. Wassermann

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Abstract

Using computer, we classify the unitals in the Desarguesian projective plane of order 16. We use computational methods based on analysis involving tactical decompositions to break symmetry, making a computer search feasible. We prove that all unitals in PG(2, 16) are known, namely, up to isomorphism, there are exactly two Buekenhout-Metz unitals (one of them the Hermitian curve). © 2012 Elsevier B.V.

Original language	English
Pages (from-to)	110-122
Journal	Journal of Statistical Planning and Inference
Volume	144
Issue number	1
DOIs	https://doi.org/10.1016/j.jspi.2012.10.006
Publication status	Published - 2014

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Bamberg, J., Betten, A., Praeger, C., & Wassermann, A. (2014). Unitals in the Desarguesian projective plane of order 16. Journal of Statistical Planning and Inference, 144(1), 110-122. https://doi.org/10.1016/j.jspi.2012.10.006

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Access to Document

10.1016/j.jspi.2012.10.006