Universal p‐ary designs
Copyright policy )Universal p‐ary designs
AbstractWe 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.
- University of Cambridge United Kingdom
\(t\)-designs, incidence matrix, Symmetric groups, Modular representations and characters, 4904 Pure Mathematics, 05B05 (primary), 51E05 (secondary), Other designs, configurations, Combinatorial aspects of block designs, \(p\)-ary designs, integral designs, 4613 Theory Of Computation, 46 Information and Computing Sciences, FOS: Mathematics, 49 Mathematical Sciences, Mathematics - Combinatorics, Combinatorics (math.CO)
\(t\)-designs, incidence matrix, Symmetric groups, Modular representations and characters, 4904 Pure Mathematics, 05B05 (primary), 51E05 (secondary), Other designs, configurations, Combinatorial aspects of block designs, \(p\)-ary designs, integral designs, 4613 Theory Of Computation, 46 Information and Computing Sciences, FOS: Mathematics, 49 Mathematical Sciences, Mathematics - Combinatorics, Combinatorics (math.CO)
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