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In 1950, Hamming introduced the [7,4] Hamming code. It encodes four data bits into seven bits by adding three parity bits. As explained earlier, it can either detect and correct single-bit errors or it can detect (but not correct) both single and double-bit errors.
With the addition of an overall parity bit, it becomes the [8,4] extended Hamming code
===Construction of G and H===
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