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math.CO2020
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…
math.CO2020★ 3 cited
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…