Quasi-symmetric designs, codes, quadrics, and hyperplane sections

DOI10.1007/BF01264073zbMath0790.05012OpenAlexW2014466677MaRDI QIDQ1312325

Vladimir D. Tonchev

Publication date: 9 February 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264073

zbMATH Keywords

symmetric designprojective spacehyperplanesGrey-Rankin boundquadricscodes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Combinatorial structures in finite projective spaces (51E20)

Related Items (18)

The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes ⋮ Designs with the symmetric difference property on 64 points and their groups ⋮ On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs ⋮ The characterization of binary constant weight codes meeting the bound of Fu and Shen ⋮ Quasi-symmetric designs and codes meeting the Grey-Rankin bound ⋮ Linear codes and doubly transitive symmetric designs ⋮ Steiner triple systems of order 15 and their codes ⋮ The uniformly packed binary \([27, 21, 3 \) and \([35, 29, 3 ]\) codes] ⋮ Linearly embeddable designs ⋮ Infinite families of 3-designs from a type of five-weight code ⋮ A combinatorial characterization of parabolic quadrics ⋮ Pseudo quasi-3 designs and their applications to coding theory ⋮ Parameters of 2-Designs from Some BCH Codes ⋮ Combinatorial \(t\)-designs from special functions ⋮ Characterization of certain minimal rank designs ⋮ Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes ⋮ On sets of type \((m,n)_{r - 1}\) in PG\((r,q)\) ⋮ On the \([28,7,12\) binary self-complementary codes and their residuals]

Cites Work

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• Exponential numbers of two-weight codes, difference sets and symmetric designs
• Exponential number of quasi-symmetric SDP designs and codes meeting the Grey-Rankin bound
• On symmetric and quasi-symmetric designs with the symmetric difference property and their codes
• Symplectic groups, symmetric designs, and line ovals
• On the BIB design having the minimum p-rank
• Codes projectifs à deux poids, caps complets et ensembles de différences
• On the \([28,7,12\) binary self-complementary codes and their residuals]
• Designs with the symmetric difference property on 64 points and their groups
• The Geometry of Two-Weight Codes

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