Balanced Generalized Weighing matrices and Association Schemes

Abstract: A symmetric Balanced Incomplete Design, $\mathrm{BIBD}(v, k, \lambda)$, is signable if it is possible to turn its incidence matrix, by negating some of the entries, into a matrix with a specific orthogonality property.

Signed symmetric designs possess interesting properties and lead to a variety of association schemes. In addition, the process is reversible, and signed symmetric designs are constructible from association schemes.

combinatorics

Audience: researchers in the topic

( video )

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Carleton Combinatorics Meeting 2021

Series comments: See the external webpage for more details: people.math.carleton.ca/~dthomson/CCM2021

To contact, please use CCM2021@math.carleton.ca and prefix your subject with "[CCM2021-request]"

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