Recursive constructions of complete caps

DOI10.1016/S0378-3758(00)00286-XzbMath0987.51007OpenAlexW2118497937WikidataQ128100606 ScholiaQ128100606MaRDI QIDQ5935436

Alexander A. Davydov, Patric R. J. Östergård

Publication date: 16 June 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00286-x

zbMATH Keywords

finite fieldcomplete capprojective geometry

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22)

Related Items (10)

A construction of small complete caps in projective spaces ⋮ Small Complete Caps from Singular Cubics ⋮ Small complete caps in Galois affine spaces ⋮ Exponentially larger affine and projective caps ⋮ Small complete caps in PG(4n+1,q)${\rm PG}(4n+1, q)$ ⋮ New inductive constructions of complete caps inPG(N, q),qeven ⋮ Small complete caps from singular cubics. II ⋮ Maximum scattered linear sets and complete caps in Galois spaces ⋮ Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture ⋮ On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)

Cites Work

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• Lower bounds on \(m_t(r,s)\)
• New linear codes with covering radius 2 and odd basis
• The packing problem in statistics, coding theory and finite projective spaces
• Computer search for small complete caps
• Small complete caps in spaces of even characteristic
• Linear codes with covering radius 2 and other new covering codes
• Covering radii of ternary linear codes of small dimensions and codimensions

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