An edition of Sphere packings, lattices, and groups
(1988)
Sphere Packings, Lattices and Groups
by John Horton Conway and Neil J. A. Sloane
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This book is an exposition of the mathematics arising from the theory of sphere packings. Considerable progress has been made on the basic problems in the field, and the most recent research is presented here. Connections with many areas of pure and applied mathematics, for example signal processing, coding theory, are thoroughly discussed.
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Previews available in: English
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Sphere Packings, Lattices and Groups
2013, Springer London, Limited
in English
1475765681 9781475765687
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Sphere packings, lattices, and groups
1993, Springer-Verlag, Springer
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- 2nd ed.
0387979123 9780387979120
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Sphere Packings, Lattices and Groups
1988, Springer New York
electronic resource /
in English
1475720181 9781475720181
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Book Details
Table of Contents
Contents: Sphere Packings and Kissing Numbers
Coverings, Lattices and Quantizers
Codes, Designs and Groups
Certain Important Lattices and Their Properties
Sphere Packing and Error-Correcting Codes
Laminated Lattices
Further Connections Between Codes and Lattices
Algebraic Constructions for Lattices
Bounds for Codes and Sphere Packings
Three Lectures on Exceptional Groups
The Golay Codes and the Mathieu Groups
A Characterization of the Leech Lattice
Bounds on Kissing Numbers
Uniqueness of Certain Spherical Codes
On the Classification of Integral Quadratic Forms
Enumeration of Unimodular Lattices
The 24-Dimensional Odd Unimodular Lattices
Even Unimodular 24-Dimensional Lattices
Enumeration of Extremal Self-Dual Lattices
Finding the Closest Lattice Point
Voronoi Cells of Lattices and Quantization Errors
A Bound for the Covering Radius of the Leech Lattice
The Covering Radius of the Leech Lattice
Twenty-Three Constructions for the Leech Lattice
The Cellular Structure of the Leech Lattice
Lorentzian Forms for the Leech Lattice
The Automorphism Group of the 26-Dimensional Even Unimodular Lorentzian Lattice
Leech Roots and Vinberg Groups
The Monster Group and its 196884-Dimensional Space
A Monster Lie Algebra?- Bibliography
Index.
Edition Notes
Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.
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| November 25, 2022 | Edited by bitnapper | Merge works (MRID: 29198) |
| June 8, 2021 | Edited by Stew | Add second author. |
| November 12, 2018 | Edited by MARC Bot | import existing book |
| April 28, 2010 | Edited by Open Library Bot | Linked existing covers to the work. |
| December 9, 2009 | Created by WorkBot | add works page |