Y. Hsieh

collaborators

2 papers

math.CO2025

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 $F_{q}$ -subspaces of $F_{q}^{n}$ . While their existence is known from inductive and…

math.CO2025

De Bruijn Tori Without Zeros: A Field-Theoretic Perspective

Ming Hsuan Kang, Yu Hsuan Hsieh

We present an algebraic construction of trace-based De Bruijn tori over finite fields, focusing on the nonzero variant that omits the all-zero pattern. The construction arranges no…