201 citations · 365 across the 23 of their papers we have counts for
7 papers · 1 filter
Error-Correcting Regenerating and Locally Repairable Codes via Rank-Metric Codes
Natalia Silberstein, Ankit Singh Rawat, Sriram Vishwanath
This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating…
Optimal Combinatorial Batch Codes based on Block Designs
Natalia Silberstein, Anna Gál
Batch codes, introduced by Ishai, Kushilevitz, Ostrovsky and Sahai, represent the distributed storage of an -element data set on servers in such a way that any batch of …
On the Geometry of Balls in the Grassmannian and List Decoding of Lifted Gabidulin Codes
Joachim Rosenthal, Natalia Silberstein, Anna-Lena Trautmann
The finite Grassmannian is defined as the set of all -dimensional subspaces of the ambient space . Subsets of the finite Grassmannian…
Explicit MBR All-Symbol Locality Codes
Govinda M. Kamath, Natalia Silberstein, N. Prakash +5
Node failures are inevitable in distributed storage systems (DSS). To enable efficient repair when faced with such failures, two main techniques are known: Regenerating codes, i.e.…
Optimal Locally Repairable Codes via Rank-Metric Codes
Natalia Silberstein, Ankit Singh Rawat, O. Ozan Koyluoglu +1
This paper presents a new explicit construction for locally repairable codes (LRCs) for distributed storage systems which possess all-symbols locality and maximal possible minimum…
New Lower Bounds for Constant Dimension Codes
Natalia Silberstein, Anna-Lena Trautmann
This paper provides new constructive lower bounds for constant dimension codes, using different techniques such as Ferrers diagram rank metric codes and pending blocks. Constructio…