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Question in performance of hamming code and BCH code

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TANB0025

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I have a question regarding the performance of hamming code and BCH code

Let's say we want to compare the performance of (7,4) hamming code and (15,7) BCH code.

At 4dB, the hamming code perform better than the BCH code but at 15dB the BCH perform better.

May I know how do we explain this observation?

Thanks
 

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