4 citations · 8 across the 6 of their papers we have counts for
7 papers
Curve-lifted codes for local recovery using lines
Gretchen L. Matthews, Travis Morrison, Aidan W. Murphy
In this paper, we introduce curve-lifted codes over fields of arbitrary characteristic, inspired by Hermitian-lifted codes over . These codes are designed for loc…
Computing supersingular endomorphism rings using inseparable endomorphisms
Jenny Fuselier, Annamaria Iezzi, Mark Kozek +2
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve defined over , which, conditional on GRH, runs in expected $O(…
Computing endomorphism rings of supersingular elliptic curves and connections to pathfinding in isogeny graphs
Kirsten Eisentraeger, Sean Hallgren, Chris Leonardi +2
Computing endomorphism rings of supersingular elliptic curves is an important problem in computational number theory, and it is also closely connected to the security of some of th…
Chabauty-Coleman computations on rank 1 Picard curves
Sachi Hashimoto, Travis Morrison
We provably compute the full set of rational points on 1403 Picard curves defined over with Jacobians of Mordell-Weil rank using the Chabauty-Coleman method. To ca…
Cycles in the supersingular -isogeny graph and corresponding endomorphisms
Efrat Bank, Catalina Camacho-Navarro, Kirsten Eisentraeger +2
We study the problem of generating the endomorphism ring of a supersingular elliptic curve by two cycles in -isogeny graphs. We prove a necessary and sufficient condition for…
Diophantine definability of nonnorms of cyclic extensions of global fields
Travis Morrison
We show that for any square-free natural number and any global field with containing the th roots of unity, the pairs su…
Universally and existentially definable subsets of global fields
Kirsten Eisentraeger, Travis Morrison
We show that rings of -integers of a global function field of odd characteristic are first-order universally definable in . This extends work of Koenigsmann and Park who…