1 citations · 2 across the 4 of their papers we have counts for
7 papers
Optimal anticodes, MSRD codes, and generalized weights in the sum-rank metric
Eduardo Camps Moreno, Elisa Gorla, Cristina Landolina +3
Sum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-rank metric is a natural ge…
Classifying toric surface codes of dimension
Emily Cairncross, Stephanie Ford, Eli Garcia +1
Toric surface codes are a class of error-correcting codes coming from a lattice polytope defining a two-dimensional toric variety. Previous authors have mostly completed classifica…
The Picard Group of Brauer-Severi Varieties
Eslam Badr, Francesc Bars, Elisa Lorenzo Garcia
In this note we provide explicit generators of the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular, for all Brauer-Severi surfaces. To pr…
Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication
Sean Ballentine, Aurore Guillevic, Elisa Lorenzo García +4
Schoof's classic algorithm allows point-counting for elliptic curves over finite fields in polynomial time. This algorithm was subsequently improved by Atkin, using factorizations…
On twists of smooth plane curves
Eslam Badr, Francesc Bars, Elisa Lorenzo
Given a smooth curve defined over a field that admits a non-singular plane model over , a fixed separable closure of , it does not necessarily have a non-singu…
Twists of non-hyperelliptic curves
Elisa Lorenzo Garcia
In this paper we show a method for computing the set of twists of a non-singular projective curve defined over an arbitrary (perfect) field . The method is based on a correspond…
Bad reduction of genus curves with complex multiplication
Irene Bouw, Jenny Cooley, Kristin Lauter +4
Let be a smooth, absolutely irreducible genus- curve over a number field . Suppose that the Jacobian of has complex multiplication by a sextic CM-field . Suppose f…