Titlebook: Sphere Packings, Lattices and Groups; J. H. Conway,N. J. A. Sloane Book 19932nd edition Springer Science+Business Media New York 1993 Dime

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Sphere Packings, Lattices and Groups978-1-4757-2249-9Series ISSN 0072-7830 Series E-ISSN 2196-9701

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Intractable

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Bounds for Codes and Sphere Packings,ing problems in 2-point-homogeneous spaces. A simplified account is given of the general machinery developed by Kabatiansky and Levenshtein for setting up such problems as linear programs. Many other recent bounds are also described.

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The Golay Codes and The Mathieu Groups,Miracle Octad Generator) and the hexacode are computational tools that make it easy to perform calculations with these objects. The . and the tetracode perform similar services for the ternary Golay code of length 12, the Steiner system . (5, 6, 12), and the Mathieu group ...

expeditious

Uniqueness of Certain Spherical Codes,ther unit sphere Ω., and only one way of arranging 56 (resp. 4600) spheres in .. (resp. ..) so that they all touch two further, touching spheres. The following tight spherical .-designs are also unique: the 5-design in Ω., the 7-designs in Ω. and Ω. and the 11-design in Ω..

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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/s/image/874231.jpg

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