Hadamard matrices modulo 5
Combinatorics
2013-07-09 v1
Abstract
In this paper we introduce modular symmetric designs and use them to study the existence of Hadamard matrices modulo 5. We prove that there exist 5-modular Hadamard matrices of order n if and only if n != 3, 7 (mod 10) or n != 6, 11. In particular, this solves the 5-modular version of the Hadamard conjecture.
Keywords
Cite
@article{arxiv.1307.1981,
title = {Hadamard matrices modulo 5},
author = {Moon Ho Lee and Ferenc Szöllősi},
journal= {arXiv preprint arXiv:1307.1981},
year = {2013}
}
Comments
7 pages, submitted to JCD