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math.CO2025
Two-Distance Sets over Finite Fields
Jozsef Solymosi, Chi Hoi Yip
We study two-distance sets in standard -dimensional quadratic spaces over finite fields. In characteristic , we construct sets attaining the full Larman--Rogers--Seidel bound…
math.CO2025
Generalized additive bases and difference bases for Cartesian product of finite abelian groups
Shuxing Li, Chi Hoi Yip
For a finite group and positive integer , a -additive basis is a subset of whose pairwise sums cover each element of at least times, with -difference bases…
math.CA2025★ 1 cited
Entrywise transforms preserving matrix positivity and non-positivity
Dominique Guillot, Himanshu Gupta, Prateek Kumar Vishwakarma +1
We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definit…