17 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers
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…
Hermitian-Lifted Codes
Hiram H. López, Beth Malmskog, Gretchen L Matthews +2
In this paper, we construct codes for local recovery of erasures with high availability and constant-bounded rate from the Hermitian curve. These new codes, called Hermitian-lifted…
Explicit optimal-length locally repairable codes of distance 5
Allison Beemer, Ryan Coatney, Venkatesan Guruswami +2
Locally repairable codes (LRCs) have received significant recent attention as a method of designing data storage systems robust to server failure. Optimal LRCs offer the ideal trad…
The structure of dual Schubert union codes
Fernando L. Piñero
In this article we prove that Schubert union codes are Tanner codes constructed with the point--line incidence geometry that Schubert varieties inherit from the Grassmannian. We do…