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Sphere Packings, Lattices and Groups

Overview of attention for book
Cover of 'Sphere Packings, Lattices and Groups'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Sphere Packings and Kissing Numbers
  3. Altmetric Badge
    Chapter 2 Coverings, Lattices and Quantizers
  4. Altmetric Badge
    Chapter 3 Codes, Designs and Groups
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    Chapter 4 Certain Important Lattices and Their Properties
  6. Altmetric Badge
    Chapter 5 Sphere Packing and Error-Correcting Codes
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    Chapter 6 Laminated Lattices
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    Chapter 7 Further Connections Between Codes and Lattices
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    Chapter 8 Algebraic Constructions for Lattices
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    Chapter 9 Bounds for Codes and Sphere Packings
  11. Altmetric Badge
    Chapter 10 Three Lectures on Exceptional Groups
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    Chapter 11 The Golay Codes and The Mathieu Groups
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    Chapter 12 A Characterization of the Leech Lattice
  14. Altmetric Badge
    Chapter 13 Bounds on Kissing Numbers
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    Chapter 14 Uniqueness of Certain Spherical Codes
  16. Altmetric Badge
    Chapter 15 On the Classification of Integral Quadratic Forms
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    Chapter 16 Enumeration of Unimodular Lattices
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    Chapter 17 The 24-Dimensional Odd Unimodular Lattices
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    Chapter 18 Even Unimodular 24-Dimensional Lattices
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    Chapter 19 Enumeration of Extremal Self-Dual Lattices
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    Chapter 20 Finding the Closest Lattice Point
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    Chapter 21 Voronoi Cells of Lattices and Quantization Errors
  23. Altmetric Badge
    Chapter 22 A Bound for the Covering Radius of the Leech Lattice
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    Chapter 23 The Covering Radius of the Leech Lattice
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    Chapter 24 Twenty-Three Constructions for the Leech Lattice
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    Chapter 25 The Cellular Structure of the Leech Lattice
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    Chapter 26 Lorentzian Forms for the Leech Lattice
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    Chapter 27 The Automorphism Group of the 26-Dimensional Lorentzian Lattice
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    Chapter 28 Leech Roots and Vinberg Groups
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    Chapter 29 The Monster Group and its 196884-Dimensional Space
  31. Altmetric Badge
    Chapter 30 A Monster Lie Algebra?
Attention for Chapter 22: A Bound for the Covering Radius of the Leech Lattice
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Chapter title
A Bound for the Covering Radius of the Leech Lattice
Chapter number 22
Book title
Sphere Packings, Lattices and Groups
Published by
Springer, New York, NY, January 1988
DOI 10.1007/978-1-4757-2016-7_22
Book ISBNs
978-1-4757-2018-1, 978-1-4757-2016-7
Authors

S. P. Norton, Norton, S. P.

View on publisher site

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