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Further Examples of Self-Dual Codes

  • Gabriele Nebe
  • Eric M. Rains
  • Neil J.A. Sloane
Chapter
  • 992 Downloads
Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 17)

Abstract

This chapter describes some families of self-dual codes that cannot be obtained from representations of quasisimple form rings: codes over Z/mZ (§8.1), then the special cases of codes over Z/4Z (§8.2) and Z/8Z (§8.3), codes over more general Galois rings (§8.4), and codes over Fq2 + Fq2 u with u2 = 0 (§8.5).

Keywords

Linear Code Form Ring Weight Enumerator Galois Ring Scalar Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Gabriele Nebe
    • 1
  • Eric M. Rains
    • 2
  • Neil J.A. Sloane
    • 3
  1. 1.Lehrstuhl D für Mathematik Rheinisch-Westfälische Technische Hochschule AachenAachenGermany
  2. 2.Department of MathematicsUniversity of California at DavisDavisUSA
  3. 3.Internet and Network Systems Research AT&T Shannon LabsFlorham ParkUSA

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