3 papers
cs.IT2025
Adjoint and duality for rank-metric codes in a skew polynomial framework
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
Skew polynomial rings provide a fundamental example of noncommutative principal ideal domains. Special quotients of these rings yield matrix algebras that play a central role in th…
math.CO2025
Quotients of skew polynomial rings: new constructions of division algebras and MRD codes
F. J. Lobillo, Paolo Santonastaso, John Sheekey
We achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomi…
cs.IT2025
Linear complementary pairs of skew constacyclic codes
F. J. Lobillo, José Manuel Muñoz
Linear complementary pairs (LCPs) of codes have been studied since they were introduced in the context of discussing mitigation measures against possible hardware attacks to integr…