Definition of Binary Quadratic Residue Codes

  • Elwyn R. Berlekamp
Part of the International Centre for Mechanical Sciences book series (CISM, volume 28)


If N=n +1 and n is a prime ≡ ±1 mod 8, then the extended binary quadratic residue code is the row space of the N × N matrix whose rows and columns are labelled with the N elements in the set GF(n) ∪ {∞}, and whose entries are given by


Cyclic Code Generator Polynomial Great Common Divisor Transitive Group Cyclic Shift 
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 1970

Authors and Affiliations

  • Elwyn R. Berlekamp
    • 1
  1. 1.Bell Telephone LaboratoriesMurray HillUSA

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