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 


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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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