Morphisms of Skew Hadamard Matrices
Combinatorics
2020-04-20 v4
Abstract
Quaternary unit Hadamard (QUH) matrices were introduced by Fender, Kharagani and Suda along with a method to construct them at prime power orders. We present a novel construction of real Hadamard matrices from QUH matrices. Our construction recovers the result by Mukhopadhyay on the existence of real Hadamard matrices of order for each prime power . Furthermore we provide nonexistence conditions for QUH matrices.
Cite
@article{arxiv.1907.07024,
title = {Morphisms of Skew Hadamard Matrices},
author = {Philip Heikoop and Guillermo Nuñez Ponasso and Padraig Ó Catháin and John Pugmire},
journal= {arXiv preprint arXiv:1907.07024},
year = {2020}
}