Applied Mathematics Colloquium
Modern large-scale storage systems are deploying coding to introduce high reliability with limited storage overhead. It was recently discovered that network coding techniques can improve the maintenance of such distributed coded systems compared to standard Reed-Solomon codes. We will cover the developing theory and practice of this new family of network codes called regenerating codes. We will focus on recent developments and connections to interference alignment and locally decodable codes. Finally, we will discuss recent implementations over the Hadoop distributed file system and practical aspects that arise.