67 citations · 110 across the 23 of their papers we have counts for
35 papers
Invariants of Tutte Partitions and a -Analogue
Eimear Byrne, Andrew Fulcher
We describe a construction of the Tutte polynomial for both matroids and -matroids based on an appropriate partition of the underlying support lattice into intervals that corres…
Saturating systems and the rank covering radius
Matteo Bonini, Martino Borello, Eimear Byrne
We introduce the concept of a rank saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider the problem of finding the value…
The Cyclic Flats of a -Matroid
Gianira N. Alfarano, Eimear Byrne
In this paper we develop the theory of cyclic flats of -matroids. We show that the lattice of cyclic flats, together with their ranks, uniquely determines a -matroid and henc…
Tensor Codes and their Invariants
Eimear Byrne, Giuseppe Cotardo
In 1991, Roth introduced a natural generalization of rank metric codes, namely tensor codes. The latter are defined to be subspaces of -tensors where the ambient space is endowe…
Bounds in the Lee Metric and Optimal Codes
Eimear Byrne, Violetta Weger
In this paper we investigate known Singleton-like bounds in the Lee metric and characterize optimal codes, which turn out to be very few. We then focus on Plotkin-like bounds in th…
Density of Free Modules over Finite Chain Rings
Eimear Byrne, Anna-Lena Horlemann, Karan Khathuria +1
In this paper we focus on modules over a finite chain ring of size . We compute the density of free modules of , where we separately treat the asy…