 Unfortunately, this term is somewhat ambiguous as some references assume a message length formula_2 while others assume a message length of formula_3.In this article, the first case is called the Hadamard code while the second is called the augmented Hadamard code.The Hadamard code is unique in that each non-zero codeword has a Hamming weight of exactly formula_4, which implies that the distance of the code is also formula_4.