4 citations · 7 across the 4 of their papers we have counts for
5 papers
Bounds on Binary Locally Repairable Codes Tolerating Multiple Erasures
Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck +2
Recently, locally repairable codes has gained significant interest for their potential applications in distributed storage systems. However, most constructions in existence are ove…
On Binary Matroid Minors and Applications to Data Storage over Small Fields
Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck +1
Locally repairable codes for distributed storage systems have gained a lot of interest recently, and various constructions can be found in the literature. However, most of the cons…
Matroid Theory and Storage Codes: Bounds and Constructions
Ragnar Freij-Hollanti, Camilla Hollanti, Thomas Westerbäck
Recent research on distributed storage systems (DSSs) has revealed interesting connections between matroid theory and locally repairable codes (LRCs). The goal of this chapter is t…
Fast Möbius inversion in semimodular lattices and U-labelable posets
Petteri Kaski, Jukka Kohonen, Thomas Westerbäck
We consider the problem of fast zeta and Möbius transforms in finite posets, particularly in lattices. It has previously been shown that for a certain family of lattices, zeta and…
Linear Locally Repairable Codes with Random Matrices
Toni Ernvall, Thomas Westerbäck, Camilla Hollanti
In this paper, locally repairable codes with all-symbol locality are studied. Methods to modify already existing codes are presented. Also, it is shown that with high probability,…