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pro vyhledávání: '"West, Mckenzie"'
In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form $y^p-y=f(x,z)$. Our main theorem describes the codes, their hierarchical structure and recovery algorithms, and g
Externí odkaz:
http://arxiv.org/abs/2405.19533
We construct families of locally recoverable codes with availability $t\geq 2$ using fiber products of curves, determine the exact minimum distance of many families, and prove a general theorem for minimum distance of such codes. The paper concludes
Externí odkaz:
http://arxiv.org/abs/2204.03755
Autor:
Costa, Edgar, Donepudi, Ravi, Fernando, Ravi, Karemaker, Valentijn, Springer, Caleb, West, Mckenzie
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 hyperelliptic curve. We provide a necessary condition by demonstrating that
Externí odkaz:
http://arxiv.org/abs/2002.02067
Autor:
Alvarado, Alejandra, Koutsianas, Angelos, Malmskog, Beth, Rasmussen, Christopher, Vincent, Christelle, West, Mckenzie
Let $K$ be a number field, and $S$ a finite set of places in $K$ containing all infinite places. We present an implementation for solving the $S$-unit equation $x + y = 1$, $x,y \in\mathscr{O}_{K,S}^\times$ in the computer algebra package SageMath. T
Externí odkaz:
http://arxiv.org/abs/1903.00977
Let $\mathbb{P}$ denote the weighted projective space with weights $(1,1,1,3)$ over the rationals, with coordinates $x,y,z,$ and $w$; let $\mathcal{X}$ be the generic element of the family of surfaces in $\mathbb{P}$ given by \begin{equation*} X\colo
Externí odkaz:
http://arxiv.org/abs/1703.02127
Autor:
West, Mckenzie
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 and the Brauer--Manin obstruction, recently discovered by Manin. We gen
Externí odkaz:
http://arxiv.org/abs/1510.03769
Akademický článek
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Autor:
Costa, Edgar, Donepudi, Ravi, Fernando, Ravi, Karemaker, Valentijn, Springer, Caleb, West, Mckenzie, Balakrishnan, Jennifer S., Elkies, Noam, Hassett, Brendan, Poonen, Bjorn, Sutherland, Andrew, Voight, John
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 hyperelliptic curve. We provide a necessary condition by demonstrating that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______101::fcb2824868f9c8e74b525af3c5d3c44e
https://dspace.library.uu.nl/handle/1874/414848
https://dspace.library.uu.nl/handle/1874/414848
Akademický článek
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