Error correcting codes for the binary symmetric channel

Let us consider some examples of encoding and decoding systems. What is the simplest way of adding redundancy to our transmission that might help detect and correct errors?

 
• Repetition codes
• Block codes -- the (7,4) Hamming code
  • Decoding the (7,4) Hamming code
• Pictorial view of the Hamming code
  • Encoding
  • Decoding
• Summary of Hamming code properties
• Summary of codes' performances