Abstract
We generalise results of Jackson concerning cyclic Hadamard designs admitting SL(2,2n) as a point transitive automorphism group. The generalisation concerns the designs of Gordon, Mills and Welch and we characterise these as designs admitting GM(m,qn) acting in a certain way. We also generalise a construction given by Maschietti, using hyperovals, of cyclic Hadamard designs, and characterise these amongst the designs of Gordon, Mills and Welch.
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References
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W.-A. Jackson, A characterisation of Hadamard designs with SL (2, q) acting transitively, Geom. Dedicata, Vol. 46 (1993) pp. 197–206
A. Maschietti, Hyperovals and Hadamard desings, J. Geometry, Vol. 44 (1992) pp. 107–116.
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Jackson, W., Wild, P.R. On GMW Designs and Cyclic Hadamard Designs. Designs, Codes and Cryptography 10, 185–191 (1997). https://doi.org/10.1023/A:1008244420641
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DOI: https://doi.org/10.1023/A:1008244420641