A method for channel-coding information bits using a code generation matrix including 32 rows and A columns corresponding to length of the information bits includes, channel-coding the information bits having “A” length using basis sequences having 32-bit length corresponding to columns of the code generation matrix, and outputting the channel-coded result as an output sequence. If “A” is higher than 10, the code generation matrix is generated when (A−10) additional basis sequences were added as column-directional sequences to a first or second matrix. The first matrix is a TFCI code generation matrix composed of 32 rows and 10 columns used for TFCI coding. The second matrix is made when at least one of an inter-row location or an inter-column location of the first matrix was changed. The additional basis sequences satisfy a value 10 of a minimum Hamming distance.

Methods and systems for decoding raw data may select a preliminary read-level voltage from a sequence of read-level voltages based on a decoding success indicator and execute a preliminary hard decoding operation to decode raw data read from a plurality of memory cells using the preliminary read-level voltage. If the preliminary hard decoding operation is successful, the decoded data from the hard decoding operation is returned. If the preliminary hard decoding operation is unsuccessful, a multi-stage decoding operation may be executed to decode raw data read from the plurality of memory cells using the sequence of read-level voltages, and returning decoded data from the multi-stage decoding operation upon completion of the multi-stage decoding operation. The decoding success indicator is maintained based on results of the preliminary hard decoding operation or the multi-stage decoding operation.

Aspects of the subject disclosure may include, for example, obtaining a received channel-encoded data block having information bits, a transmitted error-check value, and redundant code bits. The redundant code bits correspond to a channel code applied to the received channel-encoded data block prior to transmission via a communication channel. A channel code type is identified and responsive to it being systematic, the information bits and the transmitted error-check value are obtained without decoding according to the channel code. The received channel-encoded data block is checked according to the transmitted error-check value to obtain a result. Responsive to the result not indicating an error, extracting the information bits without decoding the received channel-encoded data block according to the channel code. Responsive to the result indicating an error, decoding the received channel-encoded data block according to the channel code to obtain decoded information bits. Other embodiments are disclosed.

Provided is an error correction decoding device including an inner code iterative decoding circuit, a parameter generation circuit, and a first control circuit. The first control circuit is configured to: receive, as parameters, a threshold and a maximum iteration count which are generated by the parameter generation circuit; and compare, when an iteration count does not reach the maximum iteration count, a non-zero-value count sequentially output from the inner code iterative decoding circuit and the threshold set for each iteration count, and stop an iterative operation by the inner code iterative decoding circuit when a result of the comparison satisfies a stopping condition set in advance.

A low-density parity-check (LDPC) decoder performs check node computations as N different segments of the check nodes which have connections only to a codeword segment of length C/N bits as well as check nodes that have connections across the entire codeword of length C. The decoder can include a controller or other compute hardware to decode the codeword, including to perform computations for separate segments of C/N bits of the codeword. The system can perform computations including adjustment of the decode computations based on an expected error rate for selected segments of the codeword.

An apparatus for data storage includes an interface and a processor. The interface is configured to communicate with a memory device that includes (i) a plurality of memory cells and (ii) a data compression module. The processor is configured to determine a maximal number of errors that are required to be corrected by applying a soft decoding scheme to data retrieved from the memory cells, and based on the maximal number of errors, to determine an interval between multiple read thresholds for reading Code Words (CWs) stored in the memory cells for processing by the soft decoding scheme, so as to meet following conditions: (i) the soft decoding scheme achieves a specified decoding capability requirement, and (ii) a compression rate of the compression module when applied to confidence levels corresponding to readouts of the CWs, achieves a specified readout throughput requirement.

An ECC decoder includes: a memory comprising a memory region; a first converter configured to transmit a hard bit, received from a channel, to the memory to store the hard bit in a first area of the memory region; a second converter configured to receive the hard bit read from the first area and output a reliability value corresponding to the hard bit, whenever a hard decoding operation on the hard bit is iterated; and a variable node configured to perform the hard decoding operation using the reliability value.

A memory system according to an embodiment includes a nonvolatile memory and a memory controller. The nonvolatile memory includes a plurality of memory cells. The memory controller is configured to control the nonvolatile memory. In read operation for the memory cells, the memory controller is configured to: perform tracking including a plurality of reads in which a read voltage is shifted; determine a hard bit read voltage based on results of the tracking; calculate a soft bit read voltage based on the determined hard bit read voltage; perform soft bit read using the calculated soft bit read voltage; and perform a soft bit decoding process using a result of the soft bit read and a log-likelihood ratio table associated with the calculated soft bit read voltage.

A low-density parity-check (LDPC) decoder performs check node computations as N different segments of the check nodes which have connections only to a codeword segment of length C/N bits as well as check nodes that have connections across the entire codeword of length C. The decoder can include a controller or other compute hardware to decode the codeword, including to perform computations for separate segments of C/N bits of the codeword. The system can perform computations including adjustment of the decode computations based on an expected error rate for selected segments of the codeword.

Methods and systems for decoding raw data may include determining a sequence of a plurality of read-level voltages based on previous decoding data and executing a multi-stage decoding operation to decode raw data read from the plurality of memory cells using the determined sequence of the plurality of read-level voltages. Decoded data is returned from the multi-stage decoding operation upon completion of the multi-stage decoding operation and the previous decoding data is updated based on results of the multi-stage decoding operation.