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Constructing quasi-symmetric designs from orbits (CROSBI ID 698544)

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Vlahović Kruc, Renata ; Krčadinac, Vedran Constructing quasi-symmetric designs from orbits // Finite Geometry Workshop 2019 Szeged, Mađarska, 31.01.2019-04.02.2019

Podaci o odgovornosti

Vlahović Kruc, Renata ; Krčadinac, Vedran

engleski

Constructing quasi-symmetric designs from orbits

Finding quasi-symmetric 2-(v, k, lambda) designs with intersection numbers x and y, and with a prescribed automorphism group G is done in two steps: 1. compute the good orbits of G on k-element subsets of points, 2. select orbits comprising blocks of the design. We will focus on the second step and explain methods for constructing quasi-symmetric designs from orbits. Depending on the number of the good orbits, we use one of the following three methods: the Kramer-Mesner method, a method based on clique search, and a method based on tactical decompositions. Using these methods, we construct some new quasi-symmetric designs with parameters 2-(56, 16, 6), x=4, y=6 and 2-(56, 16, 18), x=4, y=8.

quasi-symmetric design ; automorphism group ; orbit

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Podaci o prilogu

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Podaci o skupu

Finite Geometry Workshop 2019

predavanje

31.01.2019-04.02.2019

Szeged, Mađarska

Povezanost rada

Matematika