Partitioning Hadamard vectors into Hadamard matrices
Abstract
We will show that in a space of dimension m, any family of 2m-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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