On the Dimension, Minimum Distance, and Duals of Primitive BCH Codes

نویسندگان

  • Salah Aly
  • Andreas Klappenecker
  • Pradeep Kiran Sarvepalli
چکیده

We determine the dimension and in some cases the minimum distance of primitive, narrow sense BCH codes of length n with small designed distance. We show that such a code contains its Euclidean dual code and, when the size of the field is a perfect square, also its Hermitian dual code. We establish two series of quantum error-correcting codes.

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تاریخ انتشار 2005