Nicole Sutherland

activity

20172020

most citedExistence results for primitive elements in cubic and quartic extensions of a finite field

8 citations · 19 across the 6 of their papers we have counts for

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Showing 2020 · math.NTShow all

2 papers · 2 filters

math.NT2020★ 1 cited

Constructions using Galois Theory

Claus Fieker, Nicole Sutherland

We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions without using polynomial factorisation in towers or constructing any field contain…

math.NT2020

The Hasse Norm Principle in Global Function Fields

Adelina Mânzăţeanu, Rachel Newton, Ekin Ozman +2

Let $L$ be a finite extension of $F_{q} (t)$ . We calculate the proportion of polynomials of degree $d$ in $F_{q} [t]$ that are everywhere locally norms from $L/\mathbb{…