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Construction of discrete structures by means of operations of linear groups on the linear lattice. (Konstruktion diskreter Strukturen unter Verwendung von Operationen linearer Gruppen auf dem linearen Verband.) (German) Zbl 1068.05010
Bayreuther Mathematische Schriften 69. Bayreuth: Univ. Bayreuth, Mathematisches Institut; Bayreuth: Univ. Bayreuth, Fakultät für Mathematik und Physik (Dissertation). viii, 154 p. (2004).
From the introduction: The following original results are obtained in this thesis: (1) a generalization of Kramer-Mesner matrices and Plesken matrices to group-invariant incidence functions; (2) a construction of a 3-design over GF\((q)\); (3) a construction of a point-cyclic spread of lines in the projective geometry PG\((9,2)\); (4) some improvements of bounds for the minimal distance of linear codes.
MSC:
05B05 Combinatorial aspects of block designs
05-02 Research exposition (monographs, survey articles) pertaining to combinatorics
51E05 General block designs in finite geometry
51E20 Combinatorial structures in finite projective spaces
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