English

Partitioning Hadamard vectors into Hadamard matrices

Combinatorics 2016-03-02 v1

Abstract

We will show that in a space of dimension mm, any family of 2m12^{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=2nm=2^n for some n. We will solve this problem with a simple algorithm for assigning the vectors to the Hadamard matrices.

Cite

@article{arxiv.1603.00006,
  title  = {Partitioning Hadamard vectors into Hadamard matrices},
  author = {Peter G. Casazza and Janet C. Tremain},
  journal= {arXiv preprint arXiv:1603.00006},
  year   = {2016}
}
R2 v1 2026-06-22T13:00:19.616Z