On unit weighing matrices with small weight
Combinatorics
2012-12-11 v2
Abstract
We study the structure of unit weighing matrices of order n and weights 2, 3 and 4. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of decompositions of n into sums of non-negative multiples of some specific positive integers. We also show two interesting sporadic cases in order to show the complexities involved for weights larger than 4.
Keywords
Cite
@article{arxiv.1209.4581,
title = {On unit weighing matrices with small weight},
author = {Darcy Best and Hadi Kharaghani and Hugh Ramp},
journal= {arXiv preprint arXiv:1209.4581},
year = {2012}
}