On mutually $\mu$-intersecting quasi-Hermitian varieties with some applications
| Autor: | Aguglia, Angela, Giuzzi, Luca, Siconolfi, Viola |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Mutually intersecting varieties of a finite Desarguesian projective space are varieties with the same size, such that the intersection of two of them contains the same number of points. Here, we show the existence of a new family of mutually intersecting varieties by using certain quasi-Hermitian varieties of $\mathrm{PG}(n,q^2)$, where $q$ is any prime power. With the help of these quasi-Hermitian varieties we provide a new construction of $5$-dimensional MDS codes over ${\mathbb F}_q$ as well as an infinite family of simple orthogonal arrays $OA(q^{2n-1},q^{2n-2},q,2)$ of index $\mu=q^{2n-3}$. Comment: 13 pages |
| Databáze: | arXiv |
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