 In standard coding theory notation for block codes, the Hadamard code is a formula_6-code, that is, it is a linear code over a binary alphabet, has block length formula_7, message length (or dimension) formula_8, and minimum distance formula_9.The block length is very large compared to the message length, but on the other hand, errors can be corrected even in extremely noisy conditions.The augmented Hadamard code is a slightly improved version of the Hadamard code; it is a formula_10-code and thus has a slightly better rate while maintaining the relative distance of formula_11, and is thus preferred in practical applications.