D. Thomson

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20172019

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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 $…

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

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