Mathematical LoRE: Local Recovery of Erasures: Local recovery using polynomials, curves, surfaces, and liftings

Author:

Kathryn Haymaker, Hiram H. López, Beth Malmskog, Gretchen L. Matthews, Fernando Piñero

Keyword:

Computer Science, Information Theory, Information Theory (cs.IT), Commutative Algebra (math.AC), Algebraic Geometry (math.AG)

journal:

date:

2023-12-26 00:00:00

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.

PDF: Mathematical LoRE: Local Recovery of Erasures: Local recovery using polynomials, curves, surfaces, and liftings.pdf