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Long primitive binary BCH codes have distance d \leq 2n \ln R^{-1}/\log n \cdots

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1 Author(s)

In this paper, we obtain upper and lower bounds on the designed and actual distances of any sequence of extended primitive BCH codes of increasing lengths n and fixed rate R . The results of this paper are based on [1, ch. 12], which gives an exact expression for the rates of any sequence of extended primitive BCH codes of increasing length and fixed ratio of distance/length.

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Information Theory, IEEE Transactions on  (Volume:18 ,  Issue: 3 )