Tai Duc

most citedNecessary Conditions for the Existence of Group-Invariant Butson Matrices and a New Family of Perfect Arrays

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2019★ 1 cited

Necessary Conditions for the Existence of Group-Invariant Butson Matrices and a New Family of Perfect Arrays

Tai Do Duc

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

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…