44 citations · 100 across the 48 of their papers we have counts for
4 papers · 1 filter
Partitions of Matrix Spaces With an Application to -Rook Polynomials
Heide Gluesing-Luerssen, Alberto Ravagnani
We study the row-space partition and the pivot partition on the matrix space . We show that both these partitions are reflexive and that the row-space pa…
An Assmus-Mattson Theorem for Rank Metric Codes
Eimear Byrne, Alberto Ravagnani
A - design over , or a subspace design, is a collection of -dimensional subspaces of , called blocks, with the property that every $t…
Partition-Balanced Families of Codes and Asymptotic Enumeration in Coding Theory
Eimear Byrne, Alberto Ravagnani
We introduce the class of partition-balanced families of codes, and show how to exploit their combinatorial invariants to obtain upper and lower bounds on the number of codes that…
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…