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Sphere packing

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Sphere packing has various applications in error-correcting codes, the channel coding problem, Steiner systems, $t$-designs, and in the theory of finite groups. The most important special case is the sphere packing in $\R^{24}$ via the Leech lattice. Finite and infinite sphere packing in $\R^3$ has applications in classical and modern crystallography.

J.H. Conway, N.J.A. Sloane, "Sphere packing, lattices and groups" , Springer (1988)

How to Cite This Entry:
Sphere packing. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sphere_packing&oldid=20966