Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
Information Theory
2024-02-06 v2 Commutative Algebra
Algebraic Geometry
math.IT
Abstract
Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes with additional machinery, such as using lines or curves in projective space for local recovery sets or products of curves to enhance the availability of data.
Keywords
Cite
@article{arxiv.2312.16314,
title = {Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings},
author = {Kathryn Haymaker and Hiram H. López and Beth Malmskog and Gretchen L. Matthews and Fernando Piñero},
journal= {arXiv preprint arXiv:2312.16314},
year = {2024}
}
Comments
IEEE BITS the Information Theory Magazine, to appear