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Linear Codes

  • N. J. A. Sloane
Part of the International Centre for Mechanical Sciences book series (CISM, volume 188)

Abstract

To make codes easier to use and to analyze we must impose some algebraic structure on them. The simplest assumption is that the code is linear. In this chapter we give the basic theory of linear codes, including the fundamental notions of generator matrix, parity check matrix, dual code, and standard decoding array.

Keywords

Generator Matrix Linear Code Parity Check Binary Matrix Error Pattern 
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-Verlag Wien 1975

Authors and Affiliations

  • N. J. A. Sloane
    • 1
  1. 1.Bell LaboratoriesNew JerseyUSA

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