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3. The algorithmic method is algebraic, operates in polynomials time, and significantly outperforms conventional hard-decision decoding, generalized minimum distance decoding, and Guruswami-Sudan decoding of Reed-Solomon codes.

4. If the hard-decision LDPC decoder detects an uncorrectable error, then the SSD controller uses a 1.5-bit read (two reads) erasure-decision LDPC decoder to access the flash memory.

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6. With SLC flash memory having a BER less than a predetermined value, the SSD controller uses a 1-bit read (single read) hard-decision LDPC decoder to access the flash memory.