Systems and methods for multi-algorithm concatenation encoding and decoding
US-9219503-B2 · Dec 22, 2015 · US
US2017288704A1 · US · A1
| Field | Value |
|---|---|
| Publication number | US-2017288704-A1 |
| Application number | US-201615281172-A |
| Country | US |
| Kind code | A1 |
| Filing date | Sep 30, 2016 |
| Priority date | Mar 30, 2016 |
| Publication date | Oct 5, 2017 |
| Grant date | — |
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A method for generating coded fragments comprises receiving data to be encoded, splitting the data into a plurality of data fragments, identifying a first group of data fragments from among the plurality of data fragments using a coding matrix, summing the data fragments within the first group of data fragments to generate a first group sum, and using the first group sum to calculate at least a portion of two or more coded fragments.
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What is claimed is: 1 . A method comprising: receiving data to be encoded; splitting the data into a plurality of data fragments; identifying a first group of data fragments from among the plurality of data fragments using a coding matrix; summing the data fragments within the first group of data fragments to generate a first group sum; and using the first group sum to calculate at least a portion of two or more coded fragments. 2 . The method of claim 1 wherein the coding matrix comprises a binary coding matrix, wherein identifying the first group of data fragments from among the plurality of data fragments comprises counting a number of 1's within rows of the coding matrix. 3 . The method of claim 2 wherein summing the data fragments within the first group of data fragments comprising XOR'ing the data fragments within the first group of data fragments. 4 . The method of claim 2 further comprising: updating two or more rows of the coding matrix to set 1's to 0's, wherein each of the two or more updated rows of the coding matrix is associated with a corresponding one of the two or more coded fragments. 5 . The method of claim 4 further comprising: identifying a second group of data fragments from among the plurality of data fragments using the updated coding matrix; summing the data fragments within the second group of data fragments to generate a second group sum; and using the second group sum to calculate at least a portion of two or more coded fragments. 6 . The method of claim 1 wherein identifying the first group of data fragments comprises using a greedy algorithm. 7 . The method of claim 6 wherein identifying a group of the data fragments using a greedy algorithm comprises: generating two or more groups of data fragments each having the same number of data fragments; for each of the two or more groups of data fragments, counting a number of coded fragments whose calculations include the sum of the data fragments within the group; and identifying the first group of data fragments as the group of data fragments from among the two or more groups of data fragments having the highest count. 8 . The method of claim 1 further comprising: storing the plurality of data fragments and the two or more coded fragments across multiple nodes of a distributed storage system. 9 . A system comprising: one or more processors; a volatile memory; and a non-volatile memory storing computer program code that when executed on the processor causes execution across the one or more processors of a process operable to perform the operations of: receiving data to be encoded; splitting the data into a plurality of data fragments; identifying a first group of data fragments from among the plurality of data fragments using a coding matrix; summing the data fragments within the first group of data fragments to generate a first group sum; and using the first group sum to calculate at least a portion of two or more coded fragments. 10 . The system of claim 9 wherein the coding matrix comprises a binary coding matrix, wherein the computer program code causes execution of a process operable to identify the first group of data fragments from among the plurality of data fragments by counting a number of 1's within rows of the coding matrix. 11 . The system of claim 10 wherein the computer program code causes execution of a process operable to sum the data fragments within the first group of data fragments by XOR'ing the data fragments within the first group of data fragments. 12 . The system of claim 10 wherein the computer program code causes execution of a process further operable to: update two or more rows of the coding matrix to set 1's to 0's, wherein each of the two or more updated rows of the coding matrix is associated with a corresponding one of the two or more coded fragments. 13 . The system of claim 12 wherein the computer program code causes execution of a process further operable to: identify a second group of data fragments from among the plurality of data fragments using the updated coding matrix; sum the data fragments within the second group of data fragments to generate a second group sum; and use the second group sum to calculate at least a portion of two or more coded fragments. 14 . The system of claim 9 wherein the computer program code causes execution of a process operable to identify the first group of data fragments using a greedy algorithm. 15 . The system of claim 14 wherein the computer program code causes execution of a process operable to identify a group of the data fragments using a greedy algorithm by: generating two or more groups of data fragments each having the same number of data fragments; for each of the two or more groups of data fragments, counting a number of coded fragments whose calculations include the sum of the data fragments within the group; and identifying the first group of data fragments as the group of data fragments from among the two or more groups of data fragments having the highest count. 16 . The system of claim 9 wherein the computer program code causes execution of a process further operable to: store the plurality of data fragments and the two or more coded fragments across multiple nodes of a distributed storage system. 17 . A computer program product tangibly embodied in a non-transitory computer-readable medium, the computer-readable medium storing program instructions that are executable to: receive data to be encoded; split the data into a plurality of data fragments; identify a first group of data fragments from among the plurality of data fragments using a coding matrix; sum the data fragments within the first group of data fragments to generate a first group sum; and use the first group sum to calculate at least a portion of two or more coded fragments.
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