Daewoong Cheong

collaborators

3 papers

math.CO2026

Additive structures imply more distances in $F_{q}^{d}$

Daewoong Cheong, Gennian Ge, Doowon Koh +3

For a set $E \subseteq F_{q}^{d}$ , the distance set is defined as $I^ (E) := {∥ x - y ∥ : x, y \in E}$ , where $∥ \cdot ∥$ denotes the stan…

math.CO2026

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

Daewoong Cheong, Thang Pham, Dung The Tran

We establish functional Loomis--Whitney type inequalities in the finite Heisenberg group $H^{n} (F_{q})$ . For $n = 1$ , we determine the sharp region of exponents $(u_1,u…

math.CO2026

The Mattila-SjÃ¶lin problem for the k-distance over a finite field

Daewoong Cheong, Hunseok Kang, Jinbeom Kim

Let $F_{q}^{d}$ be a $d$ -dimensional vector space over a finite field $F_{q}$ with $q$ elements. For $x \in F_{q}^{d}$ , let $∥ x ∥ = x_{1}^{2} + \dots + x_{d}^{2}$ . By abuse of…

Additive structures imply more distances in Fqd​

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

The Mattila-SjÃ¶lin problem for the k-distance over a finite field

Additive structures imply more distances in $F_{q}^{d}$