Geodesic
Combinatorics associated with inflections and bitangents of plane quartics
Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 675-695.

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After a preliminary survey and a description of some small Steiner systems from the standpoint of the theory of invariants of binary forms, we construct a binary Golay code (of length 24) using ideas from J. Grassmann's thesis of 1875. One of our tools is a pair of disjoint Fano planes. Another application of such pairs and properties of plane quartics is a construction of a new block design on 28 objects. This block design is a part of a dissection of the set of 288 Aronhold sevens. The dissection distributes the Aronhold sevens into 8 disjoint block designs of this type.
Keywords: binary form, point of inflection, plane quartic, Aronhold seven, block design, Fano plane, Steiner system, Golay code.
Mots-clés : invariant, bitangent 
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M. Kh. Gizatullin. Combinatorics associated with inflections and bitangents of plane quartics. Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 675-695. http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a2/

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