PPM: A Partitioned and Parallel Matrix Algorithm to Accelerate Encoding/Decoding Process of Asymmetric Parity Erasure Codes

Abstract

Erasure codes are widely deployed in storage systems and the encoding/decoding process is a common operation in erasure-coded systems. Parity-check matrix method is a general method employed in erasure codes to conduct encoding/decoding process. However, the process is serial and generates high computational cost in dealing with matrix operations, and hence, causes low encoding/decoding performance. Especially for some recently proposed erasure codes, including SD code, PMDS code, and LRC code, the disadvantages are more obvious. To address this issue, in this paper, we present an optimization algorithm, called Partitioned and Parallel Matrix (PPM) algorithm, to accelerate the encoding/decoding processes of these codes by partitioning the parity-check matrix, parallelizing the encoding/decoding operations, and optimizing the calculation sequence, so as to achieve the goal of fast encoding/decoding. Experimental results show that PPM can speed up the encoding/decoding process of these codes by up to 210.81%.