2-designs over \(GF(q)\)

DOI10.1007/BF02351594zbMath0773.05020MaRDI QIDQ1205348

Hiroshi Suzuki

Publication date: 1 April 1993

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) General block designs in finite geometry (51E05)

Related Items (25)

The non-existence of block-transitive subspace designs ⋮ New infinite series of 2-designs over the binary and ternary field ⋮ Large sets of \(t\)-designs over finite fields exist for all \(t\) ⋮ q-Analogs of Packing Designs ⋮ Unnamed Item ⋮ Nontrivial \(t\)-designs over finite fields exist for all \(t\) ⋮ A new series of large sets of subspace designs over the binary field ⋮ A generalization of the Erdős-Ko-Rado theorem to \(t\)-designs in certain semilattices ⋮ Construction of transitive \(q\)-analogs of designs ⋮ Subspace packings: constructions and bounds ⋮ Galois geometries and coding theory ⋮ EXISTENCE OF -ANALOGS OF STEINER SYSTEMS ⋮ Constructions of new matroids and designs over \(\mathbb{F}_q\) ⋮ Large sets of \(t\)-designs over finite fields ⋮ New 2-designs over finite fields from derived and residual designs ⋮ Large sets of subspace designs ⋮ Disjoint \(q\)-Steiner systems in dimension 13 ⋮ Covering of subspaces by subspaces ⋮ Residual \(q\)-Fano planes and related structures ⋮ Systematic construction of \(q\)-analogs of \(t\)-\((v,k,\lambda)\)-designs ⋮ Intersection Numbers For Subspace Designs ⋮ Derived and residual subspace designs ⋮ \(q\)-analogs of \(t\)-wise balanced designs from Borel subgroups ⋮ On the inequalities of \(t\)-designs over a finite field ⋮ An Assmus--Mattson Theorem for Rank Metric Codes

Cites Work

• Designs over finite fields
• 2-designs over \(GF(2^ m)\)

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