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References

[BB89] Bagchi, S. and Bagchi, B., Designs from pairs of finite fields. I. A cyclic unital U(6) and other regular Steiner 2-designs, J. Combin. Theory Ser. A, 52 (1) (1989), 51--61.

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[GSVM16] Grundhöfer, T., Stroppel, M. J. and Van Maldeghem, H., A non-classical unital of order four with many translations, Discrete Math., 339 (12) (2016), 2987--2993.

[Hir98] Hirschfeld, J. W. P., Projective geometries over finite fields, The Clarendon Press, Oxford University Press, New York, Second edition, Oxford Mathematical Monographs (1998), xiv+555 pages.

[KNP11] Krčadinac, V., Nakić, A. and Pavčević, M. O., The Kramer-Mesner method with tactical decompositions: some new unitals on 65 points, J. Combin. Des., 19 (4) (2011), 290--303.

[Kr{č}06] Krčadinac, V., Some new Steiner 2-designs S(2,4,37), Ars Combin., 78 (2006), 127--135.

[KSS18] Korchmáros, G., Siciliano, A. and Szőnyi, T., Embedding of classical polar unitals in PG(2,q^2), J. Combin. Theory Ser. A, 153 (2018), 67--75.

[MN20] Mezőfi, D. and Nagy, G. P., New 2-designs from old ones by paramodifications (2020), manuscript.

[Möh20] Möhler, V., Personal communication, Karlsruhe (2020), unpublished.

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