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→[7,4] Hamming code: the [7,4] is NOT SECDED, although the [8,4] extended code is. Left out triple-bit detection since already in SECDED section. |
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{{main|Hamming(7,4)}}
In 1950, Hamming introduced the [7,4] Hamming code. It encodes four data bits into seven bits by adding three parity bits.
With the addition of an overall parity bit, it becomes the [8,4] extended Hamming code which is [[Hamming code#hamming codes with additional parity (SECDED)|SECDED]] and can both detect and correct single-bit errors and detect (but not correct) double-bit errors.
===Construction of G and H===
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