Gen-Nian Ge

activity

20162025

collaborators

3 papers

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…

cs.IT2016

Invertible binary matrix with maximum number of $2$ -by- $2$ invertible submatrices

Yiwei Zhang, Tao Zhang, Xin Wang +1

The problem is related to all-or-nothing transforms (AONT) suggested by Rivest as a preprocessing for encrypting data with a block cipher. Since then there have been various applic…

Additive structures imply more distances in Fqd​

New results on sparse representations in unions of orthonormal bases

Invertible binary matrix with maximum number of 2-by-2 invertible submatrices

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

Invertible binary matrix with maximum number of $2$ -by- $2$ invertible submatrices