43 citations · 85 across the 6 of their papers we have counts for
12 papers
A Connection Between Locally Repairable Codes and Exact Regenerating Codes
Toni Ernvall, Thomas Westerbäck, Ragnar Freij-Hollanti +1
Typically, locally repairable codes (LRCs) and regenerating codes have been studied independently of each other, and it has not been clear how the parameters of one relate to those…
On the Combinatorics of Locally Repairable Codes via Matroid Theory
Thomas Westerbäck, Ragnar Freij, Toni Ernvall +1
This paper provides a link between matroid theory and locally repairable codes (LRCs) that are either linear or more generally almost affine. Using this link, new results on both L…
Constructions and Properties of Linear Locally Repairable Codes
Toni Ernvall, Thomas Westerbäck, Camilla Hollanti +1
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,…
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,…
Constructions of Optimal and Almost Optimal Locally Repairable Codes
Toni Ernvall, Thomas Westerbäck, Camilla Hollanti
Constructions of optimal locally repairable codes (LRCs) in the case of and over small finite fields were stated as open problems for LRCs in [I. Tamo \emph{et al.}…
Codes between MBR and MSR Points with Exact Repair Property
Toni Ernvall
In this paper distributed storage systems with exact repair are studied. A construction for regenerating codes between the minimum storage regenerating (MSR) and the minimum bandwi…