BCH Bound

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


If contains consecutive elements, modulo n , and if n is relatively prime to q, then there are no nonzero codewords of weight less than dBCH in the linear cyclic q-ary code of length n and generator polynomial
where α is a primitive nth root of unity in an extension field of GF(q).


Block Length Cyclic Code Actual Distance Information Symbol 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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