New quasi-symmetric designs by the Kramer-Mesner method

DOI10.1016/j.disc.2016.05.030zbMath1343.05045OpenAlexW2466315563MaRDI QIDQ738841

Vedran Krčadinac, Renata Vlahović

Publication date: 16 August 2016

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2016.05.030

zbMATH Keywords

quasi-symmetric designKramer-Mesner method

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (8)

Quasi-symmetric designs on 56 points ⋮ Non-embeddable quasi-residual quasi-symmetric designs ⋮ Switching for Small Strongly Regular Graphs ⋮ Unitals with many involutory translations ⋮ Quasi-symmetric \(2\)-\((28,12,11)\) designs with an automorphism of order \(5\) ⋮ Janko sporadic group \(\mathrm{J}_2\) as automorphism group of 3-designs ⋮ Classifying 3- and 4-designs on 28 points invariant under the group S6(2) ⋮ Tight \(t\)-designs on one shell of Johnson association schemes

Uses Software

• GAP
• nauty
• GUAVA
• Traces
• Code Tables

Cites Work

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• Quasi-symmetric 2-(28, 12, 11) designs with an automorphism of order 7
• An infinite family of quasi-symmetric designs

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