Hamming Codes (5)

• Hamming Code 2 (Table 1.14)

  • dmin = 4, single error correction and double-error detection.
  • The generator and parity-check matrices are:
    
    
    
    (1.33) (1.34)
    
    
    
    Odd-weight-column code:
    • H matrix has an odd number of ones in each column.
    • Example: Hamming Code 2.
    • Has many properties; single-error correction, double-error detection, multiple-error detection, low cost encoding and decoding, etc.

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