Abstract
Error-correcting codes are used to construct dense sphere packings in n–dimensional Euclidean space R n, and other packings are obtained by taking cross-sections or building up by layers. In this way we construct the densest packings known in all dimensions n ≤ 29 and in some higher dimensions, as well as a number of other interesting packings.
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© 1999 Springer Science+Business Media New York
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Leech, J., Sloane, N.J.A. (1999). Sphere Packing and Error-Correcting Codes. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6568-7_5
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DOI: https://doi.org/10.1007/978-1-4757-6568-7_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3134-4
Online ISBN: 978-1-4757-6568-7
eBook Packages: Springer Book Archive