3 citations · 3 across the 1 of their papers we have counts for
4 papers
Cyclic Flats of Binary Matroids
Ragnar Freij-Hollanti, Matthias Grezet, Camilla Hollanti +1
In this paper, first steps are taken towards characterising lattices of cyclic flats that belong to matroids that can be represented over a prescribed finite f…
Uniform Minors in Maximally Recoverable Codes
Matthias Grezet, Thomas Westerbäck, Ragnar Freij-Hollanti +1
In this letter, locally recoverable codes with maximal recoverability are studied with a focus on identifying the MDS codes resulting from puncturing and shortening. By using matro…
The Complete Hierarchical Locality of the Punctured Simplex Code
Matthias Grezet, Camilla Hollanti
This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived for a class of codes obtained by…
Alphabet-Dependent Bounds for Linear Locally Repairable Codes Based on Residual Codes
Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck +1
Locally repairable codes (LRCs) have gained significant interest for the design of large distributed storage systems as they allow a small number of erased nodes to be recovered by…