Pyramid Codes

Author:

Huang Cheng1,Chen Minghua2,Li Jin1

Affiliation:

1. Microsoft Research

2. Chinese University of Hong Kong

Abstract

We design flexible schemes to explore the tradeoffs between storage space and access efficiency in reliable data storage systems. Aiming at this goal, two new classes of erasure-resilient codes are introduced -- Basic Pyramid Codes (BPC) and Generalized Pyramid Codes (GPC). Both schemes require slightly more storage space than conventional schemes, but significantly improve the critical performance of read during failures and unavailability. As a by-product, we establish a necessary matching condition to characterize the limit of failure recovery, that is, unless the matching condition is satisfied, a failure case is impossible to recover. In addition, we define a maximally recoverable (MR) property. For all ERC schemes holding the MR property, the matching condition becomes sufficient, that is, all failure cases satisfying the matching condition are indeed recoverable. We show that GPC is the first class of non-MDS schemes holding the MR property.

Funder

Research Grants Council, University Grants Committee, Hong Kong

Area of Excellence Grant

Cisco Systems

Ministry of Science and Technology of the People's Republic of China

Microsoft

Open Project of Shenzhen Key Lab of Cloud Computing Technology and Application

Publisher

Association for Computing Machinery (ACM)

Subject

Hardware and Architecture

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