Low-Complexity Implementation of RAID Based on Reed-Solomon Codes

Author:

Trifonov P.1

Affiliation:

1. Saint-Petersburg State Polytechnic University, Saint-Petersburg, Russia

Abstract

Fast algorithms are proposed for encoding and reconstructing data in RAID based on Reed-Solomon codes. The proposed approach is based on the cyclotomic fast Fourier transform algorithm and enables one to significantly reduce the number of expensive Galois field multiplications required. The complexity of the obtained algorithms is much lower than those for existing MDS array codes. Software implementation of the proposed algorithms is discussed. The performance results show that the new algorithms provide substantially better performance compared with the standard algorithm.

Funder

MK-5407.2013.9 of the president of Russia

Publisher

Association for Computing Machinery (ACM)

Subject

Hardware and Architecture

Reference34 articles.

1. On the Structure of Cyclotomic Fourier Transforms and Their Applications to Reed-Solomon Codes

2. Efficient galois field arithmetic on SIMD architectures

3. R. Blahut. 1984. Theory and Practice of Error Control Codes. Addison-Wesley. R. Blahut. 1984. Theory and Practice of Error Control Codes. Addison-Wesley.

4. EVENODD: an efficient scheme for tolerating double disk failures in RAID architectures

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