Qing Xiang

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math.CO2024

Non-uniform Cross-intersecting Families

Zhen Jia, Qing Xiang, Jimeng Xiao +1

Let $m \geq 2$ , $n$ be positive integers, and $R_{i} = {k_{i, 1} > k_{i, 2} > \dots > k_{i, t_{i}}}$ be subsets of $[n]$ for $i = 1, 2, \dots, m$ . The families $\mathcal{F}_1\subseteq \binom{[n]…

math.CO2024

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups

Jingjun Bao, Qing Xiang, Meng Zhao

Denniston \cite{D1969} constructed partial difference sets (PDS) with parameters $(2^{3 m}, (2^{m + r} - 2^{m} + 2^{r}) (2^{m} - 1), 2^{m} - 2^{r} + (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 2), (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 1))$ in…

Non-uniform Cross-intersecting Families

Partial Difference Sets with Denniston Parameters in Elementary Abelian p-Groups

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups