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DiscreteHadamardTransform

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Sequency-ordered Walsh-Hadamard transform with 1/Sqrt[N] scaling and zero-padding (exact radicals for exact input)

DiscreteHadamardTransform[list]
DiscreteHadamardTransform[{1, 1, 1, 1, 0, 0, 0, 0}] → {Sqrt[2], Sqrt[2], 0, 0, 0, 0, 0, 0}

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