A new quasi-symmetric 2-(56,\,16,\,6) design obtained from codes

DOI10.1016/j.disc.2003.11.036zbMath1049.05011OpenAlexW2063177615MaRDI QIDQ1876695

Akihiro Munemasa, Vladimir D. Tonchev

Publication date: 20 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2003.11.036

zbMATH Keywords

Symmetric designLinear codeQuasi-symmetric design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (7)

Quasi-symmetric designs on 56 points ⋮ On Quasi-symmetric 2-(64, 24, 46) Designs Derived from Codes ⋮ New Symmetric (61,16,4) Designs Obtained from Codes ⋮ On symmetric \(2\)-\((70,24,8)\) designs with an automorphism of order \(6\) ⋮ Cyclic quasi-symmetric designs and self-orthogonal codes of length 63 ⋮ Conditions for the parameters of the block graph of quasi-symmetric designs ⋮ Steiner systems \(S(2, 4, \frac{3^m-1}{2})\) and 2-designs from ternary linear codes of length \(\frac{3^m-1}{2}\)

Uses Software

• Magma

Cites Work

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• Construction of a new symmetric block design for \((78,22,6)\) with the help of tactical decompositions
• Embedding of the Witt-Mathieu system S(3,6,22) in a symmetric 2-(78,22,6) design
• The uniqueness of the strongly regular graph on 77 points
• An infinite family of quasi-symmetric designs

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