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Sphere Packings, Lattices and Groups
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Author(s):
J. H. Conway
,
N. J. A. Sloane
Publication date
(Print):
1999
Publisher:
Springer New York
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Book
ISBN (Print):
978-1-4419-3134-4
ISBN (Electronic):
978-1-4757-6568-7
Publication date (Print):
1999
DOI:
10.1007/978-1-4757-6568-7
SO-VID:
c9fab5f5-9fec-4095-ba9b-ce3f02d14617
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http://www.springer.com/tdm
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Book chapters
pp. 1
Sphere Packings and Kissing Numbers
pp. 31
Coverings, Lattices and Quantizers
pp. 63
Codes, Designs and Groups
pp. 94
Certain Important Lattices and Their Properties
pp. 136
Sphere Packing and Error-Correcting Codes
pp. 157
Laminated Lattices
pp. 181
Further Connections Between Codes and Lattices
pp. 206
Algebraic Constructions for Lattices
pp. 245
Bounds for Codes and Sphere Packings
pp. 267
Three Lectures on Exceptional Groups
pp. 299
The Golay Codes and The Mathieu Groups
pp. 331
A Characterization of the Leech Lattice
pp. 337
Bounds on Kissing Numbers
pp. 340
Uniqueness of Certain Spherical Codes
pp. 352
On the Classification of Integral Quadratic Forms
pp. 406
Enumeration of Unimodular Lattices
pp. 421
The 24-Dimensional Odd Unimodular Lattices
pp. 429
Even Unimodular 24-Dimensional Lattices
pp. 441
Enumeration of Extremal Self-Dual Lattices
pp. 445
Finding the Closest Lattice Point
pp. 451
Voronoi Cells of Lattices and Quantization Errors
pp. 478
A Bound for the Covering Radius of the Leech Lattice
pp. 480
The Covering Radius of the Leech Lattice
pp. 508
Twenty-Three Constructions for the Leech Lattice
pp. 515
The Cellular Structure of the Leech Lattice
pp. 524
Lorentzian Forms for the Leech Lattice
pp. 529
The Automorphism Group of the 26-Dimensional Lorentzian Lattice
pp. 534
Leech Roots and Vinberg Groups
pp. 556
The Monster Group and its 196884-Dimensional Space
pp. 570
A Monster Lie Algebra?
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