33 citations · 83 across the 42 of their papers we have counts for
50 papers
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…
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…
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…
Decompositions of q-Matroids Using Cyclic Flats
Heide Gluesing-Luerssen, Benjamin Jany
We study the direct sum of q-matroids by way of their cyclic flats. Using that the rank function of a q-matroid is fully determined by the cyclic flats and their ranks, we show tha…
-Complementary Subspaces and Codes in Finite Bilinear Spaces
Heide Gluesing-Luerssen, Alberto Ravagnani
We consider (symmetric, non-degenerate) bilinear spaces over a finite field and investigate the properties of their -complementary subspaces, i.e., the subspaces that interse…
Representability of the Direct Sum of -Matroids
Heide Gluesing-Luerssen, Benjamin Jany
While there are many parallels between matroid theory and -matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the d…