Storage

Triple-Star: A Coding Scheme with Optimal Encoding Complexity for Tolerating Triple Disk Failures in RAID

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Executive Summary

Low encoding/decoding complexity is essential for practical storage systems. This paper presents a new Maximum Distance Separable (MDS) array codes, called Triple-Star, for tolerating triple disk failures in Redundant Arrays of Inexpensive Disks (RAID) architecture. Triple-Star is an extension of the double-erasure-correcting Rotary-code and a modification of the generalized triple-erasure-correcting EVENODD code. The authors construct Triple-Star based on a bit matrix-vector product similar to the Reed-Solomon coding, and provide the geometry encoding method and detailed non-recursive decoding algorithms for correcting various triple node failures. The key novelty in Triple-Star is that it has optimal encoding complexity and lower decoding complexity comparing with existing comparable codes.

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