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Universal p‐ary designs

Published version
Peer-reviewed

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Authors

Abstract

jats:titleAbstract</jats:title>jats:pWe investigate ‐ary ‐designs which are simultaneously designs for all , which we call universal ‐ary designs. Null universal designs are well understood due to Gordon James via the representation theory of the symmetric group. We study non‐null designs and determine necessary and sufficient conditions on the coefficients for such a design to exist. This allows us to classify all universal designs, up to similarity.</jats:p>

Description

Keywords

4613 Theory Of Computation, 46 Information and Computing Sciences, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Journal of Combinatorial Designs

Conference Name

Journal ISSN

1063-8539
1520-6610

Volume Title

Publisher

Wiley
Sponsorship
Woolf Fisher Trust, Cambridge Commonwealth European and International Trust