Local repair coding method of cross circular convolutional codes capable of multi-fault tolerance
A technology of cross loop and encoding method, applied in the field of partial repair encoding, which can solve the problems of high bandwidth overhead, high disk I/O overhead, and high storage cost
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[0088] In this embodiment, the (5, 4) MDS code is constructed in the finite field GF(8), and the size of the stored file is M=1000M. The file is divided into k=4 information data blocks, and m=[m 1 m 2 m 3 m 4 ] Represents file information data, where m 1 ,m 2 ,...,M 4 Represents the information data block; c=[c 1 c 2 …C 5 ] Represents the generated codeword of the MDS code stored in the distributed storage node, and c=m·G MDS , Here (5,4) MDS code generator matrix G MDS =[I|P] 4×5 , Where I is a 4×4 unit matrix, and P is a 4×1 dimensional sub-matrix. (5,4) MDS code can be expressed as
[0089] c=m·G MDS =m·[I|P] 4×5
[0090] The n=5 coded data blocks generated by (5,4) MDS codes are copied twice respectively, and stored in the selected n=5(N 1 , N 2 , N 3 , N 4 , N 5 ) In the data node, each node stores three data blocks. Through the triangular structure diagram of the coded data block of the node, n check data blocks cyclically convolved by the coded data bl...
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