On saturating sets in small projective geometries
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Publication:1580668
DOI10.1006/eujc.1999.0373zbMath0971.51004OpenAlexW2063592207MaRDI QIDQ1580668
Alexander A. Davydov, Patric R. J. Östergård
Publication date: 28 October 2001
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/143f8878efc1438105cb80f3203940c63c00222f
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)
Related Items (11)
Higgledy-piggledy sets in projective spaces of small dimension ⋮ Constructing saturating sets in projective spaces using subgeometries ⋮ On saturating sets in projective spaces. ⋮ Upper bounds on the length function for covering codes with covering radius \(R\) and codimension \(tR+1\) ⋮ Saturating systems and the rank-metric covering radius ⋮ Saturating linear sets of minimal rank ⋮ Galois geometries and coding theory ⋮ Minimal 1-saturating sets and complete caps in binary projective spaces. ⋮ Linear codes with covering radius 3 ⋮ New covering codes of radius \(R\), codimension \(tr\) and \(tr+\frac{R}{2}\), and saturating sets in projective spaces ⋮ Bounds for covering codes over large alphabets
Cites Work
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