49 citations · 54 across the 7 of their papers we have counts for
4 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…
Spectral Radii of Arithmetical Structures on Cycle Graphs
Alexander Diaz-Lopez, Kathryn Haymaker, Michael Tait
Let be a finite, connected graph. An arithmetical structure on is a pair of positive integer-valued vectors such that $(\text{diag}(\mathbf{d})-A_…