Explicit codes minimizing repair bandwidth for distributed storage

@article{Shah2010ExplicitCM,
  title={Explicit codes minimizing repair bandwidth for distributed storage},
  author={Nihar B. Shah and K. V. Rashmi and P. Vijay Kumar and Kannan Ramchandran},
  journal={2010 IEEE Information Theory Workshop on Information Theory (ITW 2010, Cairo)},
  year={2010},
  pages={1-5}
}
We consider the problem of minimizing the bandwidth required to repair a failed node when data is stored across n nodes in a distributed manner, so as to facilitate reconstruction of the entire data by connecting to any k out of the n nodes. We provide explicit and optimal constructions which permit exact replication of a failed systematic node. 
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