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

Showing math.NTShow all

3 papers · 1 filter

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…