Ovals in projective designs

DOI10.1016/0097-3165(79)90019-0zbMath0422.05022OpenAlexW2092253096MaRDI QIDQ1133546

J. H. van Lint, Edward F. jun. Assmus

Publication date: 1979

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/ovals-in-projective-designs(df10eeb2-a42b-45cd-9c68-905558c37c72).html

zbMATH Keywords

projective planecoding theoryovalprojective design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of finite geometries (05B25) Combinatorial codes (94B25) General block designs in finite geometry (51E05)

Related Items (17)

On an infinite class of Steiner systems with \(t=3\) and \(k=6\) ⋮ Jack van Lint (1932--2004): a survey of his scientific work ⋮ On Symmetric Designs and Binary 3-Frameproof Codes ⋮ New extremal doubly-even codes of length 56 derived from Hadamard matrices of order 28 ⋮ Geometria combinatoria e geometrie finite ⋮ Extremal doubly-even codes of length 64 derived from symmetric designs ⋮ Maximal arcs and related designs ⋮ Self-dual codes and Hadamard matrices ⋮ On symmetric and quasi-symmetric designs with the symmetric difference property and their codes ⋮ Quasi-symmetric designs and biplanes of characteristic three ⋮ Random number generation: A combinatorial approach ⋮ Symmetric designs and geometroids ⋮ The family of t-designs. II ⋮ Classification of (16,6,2)-designs by ovals ⋮ The (16,6,2) biplane with 60 ovals and the weight distribution of a code ⋮ Maximal arcs in designs ⋮ The non-existence of an oval-extendable (56,11,2) design

Cites Work

• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• The \(\mathbb{F}_p\) span of the incidence matrix of a finite projective plane
• The (16,6,2) designs
• Block designs with \(v=10\), \(k=5\), \(\lambda=4\)
• The four biplanes with k=9
• Self-orthogonal Steiner systems and projective planes
• Planes, Biplanes, and their Codes
• Non-isomorphic solutions of some balanced incomplete block designs. I
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