A standard Hamming code with minimum Hamming distance dmin=3 can?

  • ACorrect one bit error but not guarantee correction of two bit errors
  • BCorrect any two bit errors
  • CCorrect any three bit errors
  • DOnly detect one bit error and correct none
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Correct Answer: A. Correct one bit error but not guarantee correction of two bit errors
Explanation: A code with dmin=3 can correct floor((dmin−1)/2)=1 error. It can detect up to two errors, but ordinary Hamming decoding cannot reliably correct two.
Reference: Standard digital electronics: Hamming distance
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