Octonions and the two strictly projective tight 5-designs
نویسندگان
چکیده
In addition to the vertices of regular hexagon and icosahedron, there are precisely two strictly projective tight 5-designs: one constructed from short vectors Leech lattice other corresponding a generalized structure in octonion plane. This paper describes new connection between these 5-designs -- common construction using octonions. Certain involutionary matrices act on three-dimensional vector space produce first 5-design same plane second 5-design. result uses due Robert Wilson provides link Gh(2,8) lattice.
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ژورنال
عنوان ژورنال: Algebraic combinatorics
سال: 2022
ISSN: ['2589-5486']
DOI: https://doi.org/10.5802/alco.215