Gen-Nian Ge

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20162025

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math.CO2025

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 $Δ (E) := {∥ x - y ∥ : x, y \in E}$ , where $∥ \cdot ∥$ denotes the stand…

math.CO2024

New results on sparse representations in unions of orthonormal bases

Tao Zhang, Gennian Ge

The problem of sparse representation has significant applications in signal processing. The spark of a dictionary plays a crucial role in the study of sparse representation. Donoho…

Additive structures imply more distances in Fqd​

New results on sparse representations in unions of orthonormal bases

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