49 citations · 54 across the 7 of their papers we have counts for
5 papers · 1 filter
Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
Kathryn Haymaker, Hiram H. López, Beth Malmskog +2
Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes wit…
Parity-check Codes from Disjunct Matrices
Kathryn Haymaker, Emily McMillon
The matrix representations of linear codes have been well-studied for use as disjunct matrices. However, no connection has previously been made between the properties of disjunct m…
Algebraic hierarchical locally recoverable codes with nested affine subspace recovery
Kathryn Haymaker, Beth Malmskog, Gretchen L. Matthews
Codes with locality, also known as locally recoverable codes, allow for recovery of erasures using proper subsets of other coordinates. These subsets are typically of small cardina…
Locally recoverable codes from algebraic curves and surfaces
Alexander Barg, Kathryn Haymaker, Everett W. Howe +2
A locally recoverable code is a code over a finite alphabet such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other c…
Geometric WOM codes and coding strategies for multilevel flash memories
Kathryn Haymaker, Christine A. Kelley
This paper investigates the design and application of write-once memory (WOM) codes for flash memory storage. Using ideas from Merkx ('84), we present a construction of WOM codes b…