Abstract: In various embodiments, methods and systems for erasure coding with enhanced local protection groups are provided. An erasure coding scheme can be defined based on a Vertical Local Reconstruction Code (VLRC) that achieves high storage efficiency by combining the Local Reconstruction Code and conventional erasure coding, where the local reconstruction code (LRC) is carefully laid out across zones. Thus, when a zone is down, remaining fragments form an appropriate LRC. Further, an inter-zone erasure coding scheme—Zone Local Reconstruction Code (ZZG-2 code)—is provided having both local reconstruction within every zone and a-of-b recovery property across zones. An inter-zone adaptive erasure coding (uber code) scheme is provided, the uber code is configurable to produce near optimal performance in different environments characterized by intra and inter-zone bandwidth and machine failure rates.

Abstract: In various embodiments, methods and systems for erasure coding with enhanced local protection groups are provided. An erasure coding scheme can be defined based on a Vertical Local Reconstruction Code (VLRC) that achieves high storage efficiency by combining the Local Reconstruction Code and conventional erasure coding, where the local reconstruction code (LRC) is carefully laid out across zones. Thus, when a zone is down, remaining fragments form an appropriate LRC. Further, an inter-zone erasure coding scheme—Zone Local Reconstruction Code (ZZG-2 code)—is provided having both local reconstruction within every zone and a-of-b recovery property across zones. An inter-zone adaptive erasure coding (uber code) scheme is provided, the uber code is configurable to produce near optimal performance in different environments characterized by intra and inter-zone bandwidth and machine failure rates.

Abstract: In various embodiments, methods and systems for erasure coding data across multiple storage zones are provided. This may be accomplished by dividing a data chunk into a plurality of sub-fragments. Each of the plurality of sub-fragments is associated with a zone. Zones comprise buildings, data centers, and geographic regions providing a storage service. A plurality of reconstruction parities is computed. Each of the plurality of reconstruction parities computed using at least one sub-fragment from the plurality of sub-fragments. The plurality of reconstruction parities comprises at least one cross-zone parity. The at least one cross-zone parity is assigned to a parity zone. The cross-zone parity provides cross-zone reconstruction of a portion of the data chunk.

Abstract: In various embodiments, methods and systems for erasure coding data across multiple storage zones are provided. This may be accomplished by dividing a data chunk into a plurality of sub-fragments. Each of the plurality of sub-fragments is associated with a zone. Zones comprise buildings, data centers, and geographic regions providing a storage service. A plurality of reconstruction parities is computed. Each of the plurality of reconstruction parities computed using at least one sub-fragment from the plurality of sub-fragments. The plurality of reconstruction parities comprises at least one cross-zone parity. The at least one cross-zone parity is assigned to a parity zone. The cross-zone parity provides cross-zone reconstruction of a portion of the data chunk.