Let $n$ be the order of a quaternary Hadamard matrix. It is shown that the existence of a projective plane of order $n$ is equivalent to the existence of a balancedly multi-splittable quaternary Hadamard matrix of order $n^2$.
@article{10_37236_11990,
author = {Hadi Kharaghani and Sho Suda},
title = {Hadamard matrices related to projective planes},
journal = {The electronic journal of combinatorics},
year = {2023},
volume = {30},
number = {2},
doi = {10.37236/11990},
zbl = {1519.05037},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11990/}
}
TY - JOUR
AU - Hadi Kharaghani
AU - Sho Suda
TI - Hadamard matrices related to projective planes
JO - The electronic journal of combinatorics
PY - 2023
VL - 30
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/11990/
DO - 10.37236/11990
ID - 10_37236_11990
ER -
%0 Journal Article
%A Hadi Kharaghani
%A Sho Suda
%T Hadamard matrices related to projective planes
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/11990/
%R 10.37236/11990
%F 10_37236_11990
Hadi Kharaghani; Sho Suda. Hadamard matrices related to projective planes. The electronic journal of combinatorics, Tome 30 (2023) no. 2. doi: 10.37236/11990
