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New infinite series of 2-designs over the binary and ternary field

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Publication:306061
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DOI10.1007/s10623-015-0133-zzbMath1343.05037OpenAlexW2243536906MaRDI QIDQ306061

Michael Braun

Publication date: 31 August 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-015-0133-z


zbMATH Keywords

combinatorial design\(q\)-analogdesign over finite fields


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25)




Cites Work

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  • 2-designs over \(GF(q)\)
  • t-designs on hypergraphs
  • A new family of 2-designs over GF\((q)\) admitting SL\(_m(q^l)\)
  • Systematic construction of \(q\)-analogs of \(t\)-\((v,k,\lambda)\)-designs
  • 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
  • Coding for Errors and Erasures in Random Network Coding
  • On a class of small 2‐designs over gf(q)
  • Endliche Gruppen I


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