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[[File:Variadic logical XOR.svg|thumb|250px|[[Exclusive or|XOR]] operations<br/>Here the white fields stand for 0<br/>and the red fields for 1]]
The '''Hadamard code''' is an [[error-correcting code]] named after the French mathematician [[Jacques Hadamard]] that is used for [[error detection and correction]] when transmitting messages over very noisy or unreliable channels. In 1971, the code was used to transmit photos of Mars back to Earth from the NASA space probe [[Mariner 9]].<ref name="Malek_2006"/> 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 also known under the names '''Walsh code''', '''Walsh family''',<ref name="Amadei-Manzoli-Merani_2002"/> and '''Walsh–Hadamard code'''<ref name="Arora-Barak_2009"/> in recognition of the American mathematician [[Joseph Leonard Walsh]].
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