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STAIR Codes: A General Family of Erasure Codes for Tolerating Device and Sector Failures in ...

Talkat Coding: From Practice to Theory · 2015-02-19..02-24
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Proposes Stair codes: a family that combines two MDS codes (row and column) to tolerate m full-disk failures plus a bounded pattern of s sector failures described by an epsilon vector, generating parity via alternating upstairs encoding or downstairs encoding. Implements an open‑source encoder that reaches about ~1000 MB/s and shows space savings versus RAID/RAID6/IDR/SD by storing only per‑row global parities. Tradeoffs: higher update cost and no repair-optimized design in this paper, but mapping to rack-local repairs avoids cross-rack traffic.

AI-written summary · about

  1. 0:00Intro
  2. 0:23Device and Sector Failures
  3. 1:24Erasure Coding
  4. 3:26RAID
  5. 9:23Sector-Disk (SD) Codes
  6. 13:08Failure Scenarios
  7. 14:00Key Properties of STAIR Codes
  8. 15:04Sector Failure Coverage Vector
  9. 16:53Examples of e
  10. 17:59Parity Layout
  11. 20:30Augmented Rows
  12. 21:11Upstairs Encoding
  13. 23:11Downstairs Encoding
  14. 23:23Choosing Encoding Methods
  15. 24:28Encoding Speed
  16. 24:52Update Cost
  17. 25:28Extension
  18. 26:43Conclusions
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