2 papers
cs.IT2019
Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes
Hiram H. López, Gretchen Matthews, Ivan Soprunov
A monomial-Cartesian code is an evaluation code defined by evaluating a set of monomials over a Cartesian product. It is a generalization of some families of codes in the literatur…
cs.IT2018
Rank-Metric Codes and -Polymatroids
Elisa Gorla, Relinde Jurrius, Hiram H. López +1
This paper contributes to the study of rank-metric codes from an algebraic and combinatorial point of view. We introduce -polymatroids, the -analogue of polymatroids, and dev…