New bounds for linear codes of covering radius 2

DOI10.1007/978-3-319-66278-7_1zbMath1429.94073OpenAlexW2749698758MaRDI QIDQ1705496

Fernanda Pambianco, Daniele Bartoli, Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini

Publication date: 16 March 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-66278-7_1

zbMATH Keywords

upper boundsprojective spacescovering codeslength functionsaturating sets

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (3)

Constructing saturating sets in projective spaces using subgeometries ⋮ Upper bounds on the length function for covering codes with covering radius \(R\) and codimension \(tR+1\) ⋮ New bounds for linear codes of covering radii 2 and 3

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