The present invention relates to a layered semi-parallel LDPC decoder system having a single permutation network, and belongs to the field of decoder hardware design. The system comprises a layered decoding architecture of the single permutation network, a layered semi-parallel decoding architecture of the single permutation network, a pipeline design for layered semi-parallel decoding and a hardware framework of a layered semi-parallel LDPC decoder. The present invention removes a permutation network module between a check node and a variable node by modifying the cyclic shift value of each information block transferred from the variable node to the check node, i.e., the cyclic shift operation of the decoder can be completed through the single permutation network so as to reduce hardware resources of the decoder. A semi-parallel decoding structure is adopted, and meanwhile, a pipeline is added between half layers. Compared with a decoder with a layered full-parallel structure, a decoder with a semi-parallel structure has the degree of parallelism of a variable node equal to only half of the code length but can achieve ¾ of the throughput as well as reduce hardware resources by half.

Hard errors are determined for an unsuccessful decoding of codeword bits read from NAND memory cells via a read channel and input to a low-density parity check (LDPC) decoder. A bit error rate (BER) for the hard errors is estimated and BER for the read channel is estimated. Hard error regions are found using a single level cell (SLC) reading of the NAND memory cells. A log likelihood ratio (LLR) mapping of the codeword bits input to the LDPC decoder is changed based on the hard error regions, the hard error BER, and/or the read channel BER.

A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 64800 and a code rate of 4/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).

A syndrome calculation circuit includes a matrix product calculation circuit. The matrix product calculation circuit is configured to generate syndrome bits in a composite field by calculating a matrix product of input data bits and a first arithmetic matrix. The first arithmetic matrix is a matrix product of a basis conversion matrix for converting a data string from a Galois field to the composite field and a second arithmetic matrix, which is at least a part of a parity check matrix.

A memory device having a Low-Density Parity-Check (LDPC) decoder that is energy efficient and has a low error floor. The decoder is configured to determine syndromes of bits in a codeword, select bits in the codeword based at least in part on the syndromes according to a first mode, and flip the selected bits in the codeword. The decoder can repeat the bit selection and flipping operations to iteratively improve the codeword and reduce parity violations. Further, the decoder can detect a pattern in parity violations of the codeword in its iterative bit flipping operations. In response, the decoder can change from the first mode to a second mode in bit selection for flipping. For example, the decoder can transmit from a dynamic syndrome mode to a static syndrome mode in response to the pattern of repeating a cycle of bit flipping iterations.

The present technology relates to a data processing device and a data processing method which can ensure high communication quality in data transmission using LDPC codes. In group-wise interleaving, an LDPC code having a code length N of 64800 bits and a coding rate r of 13/15 is interleaved in a unit of a bit group of 360 bits. In group-wise deinterleaving, a sequence of bit groups of the LDPC code which has been subjected to the group-wise interleaving is returned to an original sequence. The present technology can be applied to, for example, a case in which data transmission is performed using LDPC codes.

A method and apparatus for determining the sector size and concomitant host metadata size to determine the difference between total size of the data block to be stored, and using the difference for parity data. This allows an increase in parity bits available for smaller sector sizes and/or data with smaller host metadata sizes. Because the amount of space available for additional parity bits is known, data with lower numbers of parity bits may be assigned to higher quality portions a memory array written with longer programming trim times, and/or written to memory dies with good redundant columns, further increasing performance and reliability.

A data storage device includes a memory device and a controller coupled to the memory device. The controller is configured to decode data from the memory device, store a decoder level for the decoded data in a bloom filter, receive a read command for the data, and decode the data using a decoder associated with the stored decoder level. The decoder level corresponds to a decoder having a certain decoding strength. The decoder level is stored in the bloom filter as an ID, where a bloom filter may be associated with each decoder level.

An electronic device and an operating method of an electronic device are provided. The operating method includes configuring a self-correction condition for adjusting an information deletion and dropout rate, performing iterative decoding on the received information using decoding factors and a self-correction technique, determining whether decoding of the codeword succeeds or fails, based on a result of the decoding, storing a received signal and the codeword which are successfully decoded, based on a determination result, and optimizing the decoding factors, based on the stored received signal and codeword.

A memory includes a first check matrix calculation circuit suitable for generating a first parity by calculating a group indicator portion of a check matrix and a write data; a memory core suitable for storing the write data and the first parity; a first syndrome calculation circuit suitable for generating a first syndrome by adding the first parity which is read from the memory core to a first calculation result obtained by calculating the group indicator portion and the data which is read from the memory core; and a failure determination circuit suitable for accumulating the first syndromes for a region of the memory core to generate a vector and determining a presence of a failure of the region based on the vector.