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Partitioning Hadamard vectors into Hadamard matrices (1603.00006v1)
Published 28 Feb 2016 in math.CO
Abstract: We will show that in a space of dimension $m$, any family of $2{m-1}$ distinct Hadamard vectors (where you can choose x or -x but not both) can be partitioned into Hadamard matrices if and only if $m=2n$ for some n. We will solve this problem with a simple algorithm for assigning the vectors to the Hadamard matrices.
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