67 citations · 110 across the 23 of their papers we have counts for
3 papers · 1 filter
Anticodes in the Sum-Rank Metric
Eimear Byrne, Heide Gluesing-Luerssen, Alberto Ravagnani
We study the structure of anticodes in the sum-rank metric for arbitrary fields and matrix blocks of arbitrary sizes. Our main result is a complete classification of optimal linear…
Fundamental Properties of Sum-Rank Metric Codes
Eimear Byrne, Heide Gluesing-Luerssen, Alberto Ravagnani
This paper investigates the theory of sum-rank metric codes for which the individual matrix blocks may have different sizes. Various bounds on the cardinality of a code are derived…
Constructions of new matroids and designs over GF(q)
Eimear Byrne, Michela Ceria, Sorina Ionica +2
A perfect matroid design (PMD) is a matroid whose flats of the same rank all have the same size. In this paper we introduce the q-analogue of a PMD and its properties. In order to…