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Because of its unique mathematical properties, the Hadamard code is not only used by engineers, but also intensely studied in [[coding theory]], [[mathematics]], and [[theoretical computer science]].
The Hadamard code is named after the French mathematician [[Jacques Hadamard]].
It is also known under the names '''Walsh code''', '''Walsh family''',<ref>See, e.g., {{Harvtxt|Amadei|Manzoli|Merani|2002}}</ref> and '''Walsh–Hadamard code'''<ref>See, e.g., {{Harvtxt|Arora|Barak|2009|loc=Section 19.2.2}}.</ref> in recognition of the American mathematician [[Joseph Leonard Walsh]].
The Hadamard code is an example of a [[linear code]] over a [[binary set|binary alphabet]] that maps messages of length <math>k</math> to codewords of length <math>2^k</math>.
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