Universal $p$-ary designs
| Autor: | Jolliffe, Liam |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | We investigate $p$-ary $t$-designs which are simultaneously designs for all $t$, which we call universal $p$-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. Comment: 10 pages, Comments welcome. arXiv admin note: substantial text overlap with arXiv:2010.09796 |
| Databáze: | arXiv |
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