Bernhard Schmidt

collaborators

3 papers

math.NT2019

Upper Bounds for Cyclotomic Numbers

Tai Do Duc, Ka Hin Leung, Bernhard Schmidt

Let $q$ be a power of a prime $p$ , let $k$ be a nontrivial divisor of $q - 1$ and write $e = (q - 1) / k$ . We study upper bounds for cyclotomic numbers $(a, b)$ of order $e$ over the finite…

math.CO2019

Bilinear Forms on Finite Abelian Groups and Group-Invariant Butson Hadamard Matrices

Tai Do Duc, Bernhard Schmidt

Let $K$ be a finite abelian group and let $exp (K)$ denote the least common multiple of the orders of the elements of $K$ . A $B H (K, h)$ matrix is a $K$ -invariant $∣ K ∣ \times ∣ K ∣$ mat…

math.CO2019

Unique Differences in Symmetric Subsets of $F_{p}$

Tai Do Duc, Bernhard Schmidt

Let $p$ be a prime and let $A$ be a subset of $F_{p}$ with $A = - A$ and $∣ A ∖ {0} ∣ \leq 2 lo g_{3} (p)$ . Then there is an element of $F_{p}$ which has a unique repr…

Upper Bounds for Cyclotomic Numbers

Bilinear Forms on Finite Abelian Groups and Group-Invariant Butson Hadamard Matrices

Unique Differences in Symmetric Subsets of Fp​

Unique Differences in Symmetric Subsets of $F_{p}$