Mutually disjoint designs and new 5-designs derived from groups and codes

DOI10.1002/jcd.20251zbMath1205.05021OpenAlexW2117614196MaRDI QIDQ3057077

Masaaki Harada, Vladimir D. Tonchev, Alfred Wassermann, Makoto Araya

Publication date: 24 November 2010

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20251

zbMATH Keywords

groupextremal self-dual codedisjoint t-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (6)

An extending theorem for \(s\)-resolvable \(t\)-designs ⋮ Janko sporadic group \(\mathrm{J}_2\) as automorphism group of 3-designs ⋮ \(5\)-SEEDs from the lifted Golay code of length \(24\) over \(\mathbb{Z}_4\) ⋮ Mutually Disjoint 5‐Designs and 5‐Spontaneous Emission Error Designs from Extremal Ternary Self‐Dual Codes ⋮ Classifying 3- and 4-designs on 28 points invariant under the group S6(2) ⋮ 3-Spontaneous Emission Error Designs from PSL(2, q)or PGL(2, q)

Uses Software

• Magma
• DISCRETA

Cites Work

• Unnamed Item
• A construction of mutually disjoint Steiner systems from isomorphic Golay codes
• On the construction of \(t\)-designs and the existence of some new infinite families of simple 5-designs
• Some mutually disjoint Steiner systems
• More mutually disjoint Steiner systems \(S(5,8,24)\)
• Mutually disjoint Steiner systems \(S\)(5, 8, 24) and 5-(24,12,48) designs
• Symmetry codes over GF(3) and new five-designs

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