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- The University of Texas at AustinUS19 papers
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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…
Lower Rate Bounds for Hermitian-Lifted Codes for Odd Prime Characteristic
Beth Malmskog, Na'ama Nevo
Locally recoverable codes are error correcting codes with the additional property that every symbol of any codeword can be recovered from a small set of other symbols. This propert…
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…
Variations of the McEliece Cryptosystem
Jessalyn Bolkema, Heide Gluesing-Luerssen, Christine A. Kelley +3
Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is do…