Tactical decompositions of designs over finite fields

DOI10.1007/s10623-014-9988-7zbMath1328.05020arXiv1311.5499OpenAlexW2080353482MaRDI QIDQ499657

Anamari Nakić, Mario-Osvin Pavčević

Publication date: 30 September 2015

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

Full work available at URL: https://arxiv.org/abs/1311.5499

zbMATH Keywords

automorphism grouptactical decomposition\(q\)-analog of designdesigns over finite fields

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30)

Related Items

On \(\alpha \)-points of \(q\)-analogs of the Fano plane, 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, Graph decompositions in projective geometries, Galois geometries and coding theory, On the automorphism group of a binary \(q\)-analog of the Fano plane

Uses Software

• GAP

Cites Work

• Construction of a new symmetric block design for \((78,22,6)\) with the help of tactical decompositions
• Designs over finite fields
• Association schemes and t-designs in regular semilattices
• t-designs on hypergraphs
• Systematic construction of \(q\)-analogs of \(t\)-\((v,k,\lambda)\)-designs
• Locally symmetric designs
• Equations for coefficients of tactical decomposition matrices for \(t\)-designs
• EXISTENCE OF -ANALOGS OF STEINER SYSTEMS
• The Kramer-Mesner method with tactical decompositions: some new unitals on 65 points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item