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Closed Codes

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

Abstract

Our primary interest is in self-dual codes, satisfying C⊥ = C. Of course this implies that C⊥⊥ = C. Codes with the latter property are called closed . In this chapter we attempt to answer the question: which families of codes are closed?

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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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