Abstract
We construct a family of simple 4-designs with parameters 4 − (2f + 1, 6, 10),f odd.
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References
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Bierbrauer, J.; Designs with block-size 6 in projective planes of characteristic 2. Graphs and Combinatorics8, 207–224 (1992)
Cameron, P.J.; Finite permutation groups and finite simple groups. Bull. London Math. Soc.13, 1–22 (1981)
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Bierbrauer, J. A new family of 4-designs. Graphs and Combinatorics 11, 209–211 (1995). https://doi.org/10.1007/BF01793006
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DOI: https://doi.org/10.1007/BF01793006