49 citations · 93 across the 18 of their papers we have counts for
4 papers · 1 filter
Codes with locality from cyclic extensions of Deligne-Lusztig curves
Gretchen L. Matthews, Fernando L. Piñero
Recently, Skabelund defined new maximal curves which are cyclic extensions of the Suzuki and Ree curves. Previously, the now well-known GK curves were found as cyclic extensions of…
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…
Triples of rational points on the Hermitian curve and their Weierstrass semigroups
Gretchen L. Matthews, Dane Skabelund, Michael Wills
In this paper, we study configurations of three rational points on the Hermitian curve over and classify them according to their Weierstrass semigroups. For $q>3…
Polar decreasing monomial-Cartesian codes
Eduardo Camps, Hiram H. López, Gretchen L. Matthews +1
We prove that families of polar codes with multiple kernels over certain symmetric channels can be viewed as polar decreasing monomial-Cartesian codes, offering a unified treatment…