Simple 3-designs and PSL\((2,q )\) with \(q \equiv 1\pmod4\)

DOI10.1007/s10623-007-9096-zzbMath1124.05009OpenAlexW2088833525MaRDI QIDQ2384047

Niranjan Balachandran, Ray-Chaudhuri, Dijen K.

Publication date: 20 September 2007

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9096-z

zbMATH Keywords

Automorphism groups3-DesignsHomogeneous actionProjective special linear groups

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (5)

Some new 3-designs from \(PSL(2,q)\) with \(q \equiv 1 \pmod 4\) ⋮ Exceptional designs in some extended quadratic residue codes ⋮ A note on \(t\)-designs in isodual codes ⋮ Transitive $t$-designs and strongly regular graphs constructed from linear groups $L(2,q)$, $q leq 23$ ⋮ Flag-transitive 4-designs and \(\mathrm{PSL}(2, q)\) groups

Cites Work

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• 3-designs from \(\text{PSL}(2,q)\)
• A construction for group divisible \(t\)-designs with strength \(t\geqslant 2\) and index unity
• Some New 5-Designs
• Some steiner 5‐designs with 108 and 132 points
• On t-Designs and Groups
• Endliche Gruppen I

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