New 2-designs over finite fields from derived and residual designs

DOI10.3934/amc.2019010zbMath1415.05021OpenAlexW2904252261WikidataQ128707400 ScholiaQ128707400MaRDI QIDQ1726021

Michael Kiermaier, Michael Braun, Reinhard Laue

Publication date: 15 February 2019

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2019010

zbMATH Keywords

derived designresidual design\(q\)-analogdesigns over finite fields

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Cites Work

• Large sets of subspace designs
• Designs over finite fields
• 2-designs over \(GF(q)\)
• t-designs on hypergraphs
• A new family of 2-designs over GF\((q)\) admitting SL\(_m(q^l)\)
• A new series of large sets of subspace designs over the binary field
• Systematic construction of \(q\)-analogs of \(t\)-\((v,k,\lambda)\)-designs
• On the inequalities of \(t\)-designs over a finite field
• Derived and residual subspace designs
• Large sets of \(t\)-designs over finite fields
• 2-designs over \(GF(2^ m)\)
• EXISTENCE OF -ANALOGS OF STEINER SYSTEMS
• On a class of small 2‐designs over gf(q)
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