Corpus ID: 236170940

Lower Bounds for Maximally Recoverable Tensor Code and Higher Order MDS Codes

@article{Brakensiek2021LowerBF,
  title={Lower Bounds for Maximally Recoverable Tensor Code and Higher Order MDS Codes},
  author={Joshua Brakensiek and Sivakanth Gopi and Visu Makam},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.10822}
}
An (m, n, a, b)-tensor code consists of m×n matrices whose columns satisfy ‘a’ parity checks and rows satisfy ‘b’ parity checks (i.e., a tensor code is the tensor product of a column code and row code). Tensor codes are useful in distributed storage because a single erasure can be corrected quickly either by reading its row or column. Maximally Recoverable (MR) Tensor Codes, introduced by Gopalan et al. [GHK17], are tensor codes which can correct every erasure pattern that is information… Expand

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