From error-correcting codes through sphere packings to simple groups

From error-correcting codes through sphere packings to simple groups

by Thompson, Thomas M.

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Title Statements

  • Full title :From error-correcting codes through sphere packings to simple groups / by Thomas M. Thompson.

Edition Statements

  • Publication Date:©1983.

Publication Statements

The Physical Object

  • Description:1 online resource (xiv, 228 pages) : : illustrations

Edition Identifiers

  • ISBN:9781614440215, 1614440212
  • oclc:ocn681278322
  • LC Classification:QA268
  • Dewey Decimal:005.7/2

Table of Contents

The origin of error-correcting codes -- From coding to sphere packing -- From sphere packing to new simple groups -- Appendix 1. Densest known sphere packings -- Appendix 2. Further properties of the (12, 24) Golay code and the related Steiner system S(5, 8, 24) -- Appendix 3. A calculation of the number of spheres with centers in [lambda]₂ adjacent to one, two, three and four adjacent spheres with centers in [lambda]₂ -- Appendix 4. The Mathieu group M₂₄ and the order of M₂₂ -- Appendix 5. The proof of Lemma 3.3 -- Appendix 6. The sporadic simple groups.

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Subjects

Codes correcteurs d'erreurs (Théorie de… Einfache Gruppe Error-correcting codes (Information the… Fehlerkorrekturcode Finite simple groups Geschichte Geschichte 1947-1949 Geschichte 1950-1962 Geschichte 1963-1980 Groupes simples finis Kugelpackung MATHEMATICS -- Algebra

Writers

Thompson, Thomas M.

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