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math.CO2026
The Mattila-Sjölin problem for the k-distance over a finite field
Daewoong Cheong, Hunseok Kang, Jinbeom Kim
Let be a -dimensional vector space over a finite field with elements. For , let . By abuse of…
math.CO2025
Additive structures imply more distances in
Daewoong Cheong, Gennian Ge, Doowon Koh +3
For a set , the distance set is defined as , where denotes the stand…
math.CO2025
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 . For , we determine the sharp region of exponents $(u_1,u…
math.CO2019
Distribution of determinant of sum of matrices
Daewoong Cheong, Doowon Koh, Thang Pham +1
Let be an arbitrary finite field of order . In this article, we study for certain types of subsets in the ring of matr…