Algebraic Constructions of Universal Cycles on Grassmannians G_q(2,n)

Chen Yu Chi, Ming Hsuan Kang, Yu Hsuan Hsieh

We study universal cycles on the Grassmannian $G_q(2,n)$, the set of $2$-dimensional ${\mathbb{F}}_q$-subspaces of ${\mathbb{F}}_q^n$. While their existence is known from inductive and…