Sphere Packings

Sphere Packings

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Sphere Packings is one of the most attractive and challenging subjects in mathematics. Almost 4 centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connections with othe subjects found. Thus, though some of its original problems are still open, sphere packings has been developed into an important discipline. This book tries to give a full account of this fascinating subject, especially its local aspects, discrete aspects and its proof methods.Also. g(x) = U(x- Apa#39;) jeJ for some set JC {0, 1, . . . , n a€” 1}. Example 5.1 (Binary Hamming Codes). ... Based on this code, the extended binary Golay code Q24 is defined by 024 = S (Ml, M2, a–i a€c a€c , U24) a–i (aquot;1, Al2, a€c a€c a€c , 1*23) G 023, ^ 1tj = 0 ^ i=lanbsp;...

Title:Sphere Packings
Author:Chuanming Zong, John Talbot
Publisher:Springer Science & Business Media - 1999-08-19


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