New 3-designs and 2-designs having \(U(3, 3)\) as an automorphism group

DOI10.1016/j.disc.2017.06.011zbMath1367.05016OpenAlexW2734116305MaRDI QIDQ2012540

Vedrana Mikulić Crnković, Dean Crnković, Andrea Švob

Publication date: 1 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.disc.2017.06.011

zbMATH Keywords

strongly regular graphunitary groupblock designtransitive group3-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30)

Related Items (max. 100)

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Uses Software

• Magma

Cites Work

• On some transitive combinatorial structures constructed from the unitary group \(U(3,3)\)
• On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\)
• On symmetric and quasi-symmetric designs with the symmetric difference property and their codes
• Quasi-symmetric designs and biplanes of characteristic three
• Symmetric designs form the \(G_2(q)\) generalized hexagons
• Some two-character sets
• Primitive rank 3 groups on symmetric designs
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