Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
CoRR(2023)
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.
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