A Family of Balanced Generalized Weighing Matrices View Full Text


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Article Info

DATE

2022-03-14

AUTHORS

Hadi Kharaghani, Thomas Pender, Sho Suda

ABSTRACT

Balanced weighing matrices with parameters (1+18⋅9m+1−18,9m+1,4⋅9m),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left({1 + 18 \cdot {{{9^{m + 1}} - 1} \over 8},{9^{m + 1}},4 \cdot {9^m}} \right),$$\end{document} for each nonzero integer m are constructed. This is the first infinite class not belonging to those with classical parameters. It is shown that any balanced weighing matrix is equivalent to a five-class association scheme. More... »

PAGES

1-14

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00493-021-4774-4

DOI

http://dx.doi.org/10.1007/s00493-021-4774-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1146254935


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