Further Examples of Self-Dual Codes

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


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).


Linear Code Form Ring Weight Enumerator Galois Ring Scalar Element 
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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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