A Construction of Systematic MDS Codes with Minimum Repair Bandwidth
Yunnan Wu

TL;DR
This paper introduces a systematic construction of MDS codes for distributed storage that minimizes repair bandwidth when repairing from a specific number of nodes, improving efficiency in data recovery.
Contribution
It provides a new construction of systematic (n,k)-MDS codes with optimal repair bandwidth for the case 2k ≤ n, advancing coding efficiency in distributed storage.
Findings
Achieves minimum repair bandwidth for specific code parameters
Constructs systematic (n,k)-MDS codes with optimal repair properties
Applicable to distributed storage systems requiring efficient node repair
Abstract
In a distributed storage system based on erasure coding, an important problem is the \emph{repair problem}: If a node storing a coded piece fails, in order to maintain the same level of reliability, we need to create a new encoded piece and store it at a new node. This paper presents a construction of systematic -MDS codes for that achieves the minimum repair bandwidth when repairing from nodes.
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