On the inequalities of \(t\)-designs over a finite field

DOI10.1016/S0195-6698(13)80045-5zbMath0737.05021MaRDI QIDQ1814090

Hiroshi Suzuki

Publication date: 25 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

finite field\(t\)-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30)

Related Items

The non-existence of block-transitive subspace designs ⋮ Large sets of \(t\)-designs over finite fields exist for all \(t\) ⋮ On \(\alpha \)-points of \(q\)-analogs of the Fano plane ⋮ Weighted subspace designs from \(q\)-polymatroids ⋮ Higher incidence matrices and tactical decomposition matrices ⋮ The order of the automorphism group of a binary \(q\)-analog of the Fano plane is at most two ⋮ Subspace packings: constructions and bounds ⋮ Galois geometries and coding theory ⋮ Constructions of new matroids and designs over \(\mathbb{F}_q\) ⋮ New 2-designs over finite fields from derived and residual designs ⋮ On the automorphism group of a binary \(q\)-analog of the Fano plane ⋮ Large sets of subspace designs ⋮ Residual \(q\)-Fano planes and related structures ⋮ A new approach for examining \(q\)-Steiner systems ⋮ Intersection Numbers For Subspace Designs ⋮ Derived and residual subspace designs ⋮ An Assmus--Mattson Theorem for Rank Metric Codes ⋮ Erdős-Ko-Rado-type results over \(J_q(n,d),H_q(n,d)\) and their designs

Cites Work

• Unnamed Item
• Designs over finite fields
• 2-designs over \(GF(q)\)
• On t-designs
• Association schemes and t-designs in regular semilattices