English

Hadamard matrices related to the projective planes

Combinatorics 2022-11-07 v1

Abstract

Let nn be the order of a (quaternary) Hadamard matrix. It is shown that the existence of a projective plane of order nn is equivalent to the existence of a balancedly multi-splittable (quaternary) Hadamard matrix of order n2n^2.

Keywords

Cite

@article{arxiv.2211.02410,
  title  = {Hadamard matrices related to the projective planes},
  author = {Hadi Kharaghani and Sho Suda},
  journal= {arXiv preprint arXiv:2211.02410},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-28T05:11:07.075Z