D. Thomson

activity

20172019

most citedUnicyclic Strong Permutations

6 citations · 6 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2019

A note on depth- $b$ normal elements

John Sheekey, David Thomson

In this paper we study elements $β \in F_{q^{n}}$ having normal $α$ -depth $b$ ; that is, elements for which $β, β - α, \dots, β - (b - 1) α$ are simultaneously normal elements of $…

cs.CR2018★ 6 cited

Unicyclic Strong Permutations

Claude Gravel, Daniel Panario, David Thomson

In this paper, we study some properties of a certain kind of permutation $σ$ over $F_{2}^{n}$ , where $n$ is a positive integer. The desired properties for $σ$ are: (1) the…

math.NT2017

Existence of primitive $1$ -normal elements in finite fields

Lucas Reis, David Thomson

An element $α \in F_{q^{n}}$ is \emph{normal} if $B = {α, α^{q}, \dots, α^{q^{n - 1}}}$ forms a basis of $F_{q^{n}}$ as a vector space over $F_{q}$ ; in…

A note on depth-b normal elements

Unicyclic Strong Permutations

Existence of primitive 1-normal elements in finite fields

A note on depth- $b$ normal elements

Existence of primitive $1$ -normal elements in finite fields