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In general, codes for defective memories require complex Gaussian elimination (GE) operations in their encoding. This paper proposes a low complexity sparse coding scheme such that the encoding can be accomplished efficiently by a graph-based elimination algorithm (GBE). The proposed algorithm takes advantage of the sparse structure of sparse codes. The corresponding graph of the sparse code is divided...
Flash memory is a non-volatile computer storage device which consists of blocks of cells. While increasing the voltage level of a single cell is fast and simple, reducing the level of a cell requires the erasing of the entire block containing the cell. Since block-erasures are costly, traditional flash coding schemes have been developed to maximize the number of writes before a block-erasure is needed...
This paper presents a novel low-complexity iterative reliability-based decoding algorithm for LDPC codes over q-ary finite fields. This proposed algorithm has low complexity and hence provides an effective trade-off between error performance and decoding complexity compared to q-ary sum product algorithm. This decoding algorithm is devised based on simple orthogonal concept of one-step majority-logic...
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