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Unit sphere packings and coverings of the Hamming space

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Publication:1823223
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zbMath0679.94015MaRDI QIDQ1823223

V. I. Panchenko, Grigory Kabatiansky

Publication date: 1988

Published in: Problems of Information Transmission (Search for Journal in Brave)


zbMATH Keywords

Hamming spaceHamming boundsingle error correcting codessphere packings and coverings


Mathematics Subject Classification ID

Combinatorial codes (94B25)


Related Items (13)

New upper bounds for the football pool problem for 11 and 12 matches ⋮ On identifying codes that are robust against edge changes ⋮ Covering and packing problems in lattices associated with the \(n\)-cube ⋮ Improved lower bounds on sizes of single-error correcting codes ⋮ BCH codes and distance multi- or fractional colorings in hypercubes asymptotically ⋮ On the structure of optimal error-correcting codes ⋮ New upper bounds for binary covering codes ⋮ Constructing error-correcting binary codes using transitive permutation groups ⋮ Nearest neighbor representations of Boolean functions ⋮ On anti-stochastic properties of unlabeled graphs ⋮ Spanning Trees and Domination in Hypercubes ⋮ On identifying codes in binary Hamming spaces ⋮ On a hypercube coloring problem




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