1 citations · 1 across the 6 of their papers we have counts for
6 papers
Codes with Hierarchical Locality on Artin-Schreier Surfaces
Jennifer Berg, Beth Malmskog, Mckenzie West
In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form . Our main theorem describes…
Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves
María Chara, Sam Kottler, Beth Malmskog +2
We construct families of locally recoverable codes with availability using fiber products of curves, determine the exact minimum distance of many families, and prove a ge…
Restrictions on Weil polynomials of Jacobians of hyperelliptic curves
Edgar Costa, Ravi Donepudi, Ravi Fernando +3
Inspired by experimental data, this paper investigates which isogeny classes of abelian varieties defined over a finite field of odd characteristic contain the Jacobian of a hypere…
A robust implementation for solving the -unit equation and several applications
Alejandra Alvarado, Angelos Koutsianas, Beth Malmskog +3
Let be a number field, and a finite set of places in containing all infinite places. We present an implementation for solving the -unit equation , $x,y \i…
On the arithmetic of a family of degree-two K3 surfaces
Florian Bouyer, Edgar Costa, Dino Festi +2
Let denote the weighted projective space with weights over the rationals, with coordinates and ; let be the generic element of th…
On Birch and Swinnerton-Dyer's cubic surfaces
Mckenzie West
In a 1975 paper of Birch and Swinnerton-Dyer, a number of explicit norm form cubic surfaces are shown to fail the Hasse Principle. They make a correspondence between this failure a…