Abstract:
A symmetric triple parity (TP) technique in an array comprising a number p of storage devices, such as disks, with p being a prime number is provided. The p disks are organized as one row parity disk, two symmetric parity disks and p-3 data disks. Phantom diagonal and anti-diagonal parity disks assumed to be present are further assumed to contain a predetermined value, thereby enabling parity encoding/decoding utilizing the phantom (anti-) diagonal disks. Row parity and symmetric parity values are included within the computation of the diagonal and anti-diagonal parities; accordingly, the two symmetric parity and the row parity values may be computed using the same technique as used for a triple parity erasure, i.e., in a symmetric fashion.
Abstract:
A triple parity (TP) technique reduces overhead of computing diagonal and anti- diagonal parity for a storage array adapted to enable efficient recovery from the concurrent failure of three storage devices in the array. The diagonal parity is computed along diagonal parity sets that collectively span all data disks and a row parity disk of the array. The parity for all of the diagonal parity sets except one is stored on the diagonal parity disk. Similarly, the anti-diagonal parity is computed along anti-diagonal parity sets that collectively span all data disks and a row parity disk of the array. The parity for all of the anti-diagonal parity sets except one is stored on the anti-diagonal parity disk. The TP technique provides a uniform stripe depth and an optimal amount of parity information.