An updated table of binary/ternary mixed covering codes

DOI10.1002/jcd.20008zbMath1054.94022OpenAlexW1963788317MaRDI QIDQ4736760

Riccardo Bertolo, William D. Weakley, Patric R. J. Östergård

Publication date: 6 August 2004

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20008

zbMATH Keywords

bounds on codescovering radiusmixed codefootball pool problem

Mathematics Subject Classification ID

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

Related Items (7)

Further results on the covering radius of small codes ⋮ Unnamed Item ⋮ Improved lower bounds on the domination number of hypercubes and binary codes with covering radius one ⋮ (Total) domination in prisms ⋮ The domination complexity and related extremal values of large 3D torus ⋮ On the minimum size of binary codes with length \(2R+4\) and covering radius \(R\) ⋮ Bounds for covering codes over large alphabets

Uses Software

• nauty

Cites Work

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• Upper bounds for football pool problems and mixed covering codes
• Generalized bounds and binary/ternary mixed packing and covering codes
• Bounds on packings and coverings by spheres in \(q\)-ary and mixed Hamming spaces
• Constructing covering codes with given automorphisms
• A new table of binary/ternary mixed covering codes
• Ternary covering codes derived from BCH codes
• Lower bounds for \(q\)-ary codes of covering radius one
• Classification of binary/ternary one-error-correcting codes
• A new lower bound for the football pool problem for six matches
• An improved upper bound for the football pool problem for nine matches
• A new binary code of length 10 and covering radius 1
• Further results on (k, t)-subnormal covering codes
• On the covering radius of small codes
• On the size of optimal binary codes of length 9 and covering radius 1
• Several new lower bounds on the size of codes with covering radius one
• New lower bounds for covering codes

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