Extended EVENODD+ and STAR+ With Asymptotic Optimal Update and Efficient Decoding

Abstract

The increasing capacity of storage devices and the growing frequency of correlated failures demands better fault tolerance by using maximum distance separable (MDS) array codes with triple-parity. Although many constructions of triple-parity MDS array codes have been proposed, they either have large update complexity or have large encoding/decoding complexity or only support specified parameters. In this paper, we propose two classes of triple-parity MDS array codes, called extended EVENODD+ and STAR+ that both have asymptotically optimal update complexity and lower encoding/decoding complexity. We show that the existing extended EVENODD and STAR are a special case of our extended EVENODD+ and STAR+, respectively. Moreover, we show that our extended EVENODD+ and STAR+ have strictly less encoding/decoding/update complexity than that of extended EVENODD and STAR for most parameters.