A New Construction of EVENODD Codes With Lower Computational Complexity

EVENODD codes are binary array codes for correcting double disk failures in RAID-6 with asymptotically optimal encoding and decoding complexities. However, the update complexity of EVENODD is sub-optimal. We propose a new construction of binary maximum distance separable array codes, namely EVENODD+, such that the encoding, decoding, and update complexities of EVENODD+ are less than those of EVENODD in general. Moreover, EVENODD+ achieves asymptotically optimal update complexity.

[1]  Mario Blaum,et al.  On Lowest Density MDS Codes , 1999, IEEE Trans. Inf. Theory.

[2]  Jiwu Shu,et al.  C-Codes: Cyclic Lowest-Density MDS Array Codes Constructed Using Starters for RAID 6 , 2011, ArXiv.

[3]  Peter F. Corbett,et al.  Row-Diagonal Parity for Double Disk Failure Correction (Awarded Best Paper!) , 2004, USENIX Conference on File and Storage Technologies.

[4]  Hai Jin,et al.  The EVENODD Code and its Generalization: An Efficient Scheme for Tolerating Multiple Disk Failures in RAID Architectures , 2002 .

[5]  Jehoshua Bruck,et al.  X-Code: MDS Array Codes with Optimal Encoding , 1999, IEEE Trans. Inf. Theory.

[6]  James S. Plank.  The RAID-6 Liberation Codes , 2008, FAST.

[7]  Chentao Wu,et al.  H-Code: A Hybrid MDS Array Code to Optimize Partial Stripe Writes in RAID-6 , 2011, 2011 IEEE International Parallel & Distributed Processing Symposium.

[8]  Jehoshua Bruck,et al.  EVENODD: An Efficient Scheme for Tolerating Double Disk Failures in RAID Architectures , 1995, IEEE Trans. Computers.

[9]  Randy H. Katz,et al.  Introduction to redundant arrays of inexpensive disks (RAID) , 1989, Digest of Papers. COMPCON Spring 89. Thirty-Fourth IEEE Computer Society International Conference: Intellectual Leverage.

[10]  Jiwu Shu,et al.  HV Code: An All-Around MDS Code to Improve Efficiency and Reliability of RAID-6 Systems , 2014, 2014 44th Annual IEEE/IFIP International Conference on Dependable Systems and Networks.

[11]  Jiwu Shu,et al.  Short Code: An Efficient RAID-6 MDS Code for Optimizing Degraded Reads and Partial Stripe Writes , 2017, IEEE Transactions on Computers.