John Boxall

activity

20112022

most citedHeuristics on pairing-friendly abelian varieties

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

collaborators

4 papers

math.AG2022

Bounds on the number of torsion points of given order on curves embedded in their jacobians

John Boxall

Working over an algebraically closed field of arbitrary characteristic we study, for integers $N \geq 2$ and $g \geq 2$ , the set of points of order dividing $N$ lying on an irreducib…

math.NT2020

On the number of point of given order on odd degree hyperelliptic curves

John Boxall

For integers $N \geq 3$ and $g \geq 1$ , we study bounds on the cardinality of the set of points of order dividing $N$ lying on a hyperelliptic curve of genus $g$ embedded in its jaco…

math.NT2012★ 3 cited

Heuristics on pairing-friendly abelian varieties

John Boxall, David Gruenewald

We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.030…

math.NT2011

Heuristics on pairing-friendly elliptic curves

John Boxall

We present a heuristic asymptotic formula as $x \to \infty$ for the number of isogeny classes of pairing-friendly elliptic curves with fixed embedding degree $k \geq 3$ , with fixed d…