# Update-Efficient Error-Correcting Regenerating Codes

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Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage called MSR or minimize the communication overhead for regeneration called MBR. In this work, we propose new encoding schemes for $n,d$ error-correcting MSR and MBR codes that generalize our earlier work on error-correcting regenerating codes. We show that by choosing a suitable diagonal matrix, any generator matrix of the $n,\alpha$ Reed-Solomon RS code can be integrated into the encoding matrix. Hence, MSR codes with the least update complexity can be found. By using the coefficients of generator polynomials of $n,k$ and $n,d$ RS codes, we present a least-update-complexity encoding scheme for MBR codes. An efficient decoding scheme is proposed that utilizes the $n,\alpha$ RS code to perform data reconstruction for MSR codes. The proposed decoding scheme has better error correction capability and incurs the least number of node accesses when errors are present. A new decoding scheme is also proposed for MBR codes that can correct more error-patterns.

Autor: Yunghsiang Han; Hung-Ta Pai; Rong Zheng; Pramod K. Varshney

Fuente: https://archive.org/