3 papers
math.CO2025
Polynomial Invariants of q-Matroids and Rank-Metric Codes
Heide Gluesing-Luerssen, Benjamin Jany
It is shown that the Whitney function of a representable q-matroid and the collection of all higher weight enumerators of any representing rank-metric code determine each other via…
math.CO2025
The Cloud and Flock Polynomials of q-Matroids
Heide Gluesing-Luerssen, Benjamin Jany
We show that the Whitney function of a q-matroid can be determined from the cloud and flock polynomials associated to the cyclic flats. These polynomials capture information about…
cs.IT2025
Quasi-optimal cyclic orbit codes
Chiara Castello, Heide Gluesing-Luerssen, Olga Polverino +1
We focus on two aspects of cyclic orbit codes: invariants under equivalence and quasi-optimality. Regarding the first aspect, we establish a connection between the codewords of a c…