A method of operating a decoder, which has variable nodes and check nodes, includes receiving variable-to-check (V2C) messages from the variable nodes using a first check node among the check nodes. The number of messages having a specific magnitude among the V2C messages is counted. The magnitude of a check-to-variable (C2V) message to be transmitted to a first variable node, among the variable nodes, is determined based on the count value and the magnitude of a V2C message of the first variable node.

A data processing device communicating with a memory device via a memory interface includes: at least one data processor configured to generate first data; a data converter configured to generate second data written to the memory device from the first data; and a controller configured to enable the data converter to generate the second data having a size less than that of the first data to reduce power consumption in at least one of the memory device or the memory interface.

A mobile electronic device may include a memory device and a memory controller including an error correction code (ECC) encoder to encode data, a constrained channel encoder configured to encode an output of the ECC encoder based on one or more constraints, a reinforcement learning pulse programming (RLPP) component configured to identify a programming algorithm for programming the data to the memory device, an expectation maximization (EM) signal processing component configured to receive a noisy multi-wordline voltage vector from the memory device and classify each bit of the vector with a log likelihood ration (LLR) value, a constrained channel decoder configured to receive a constrained vector from the EM signal processing component and produce an unconstrained vector, and an ECC decoder configured to decode the unconstrained vector. A machine learning interference cancellation component may operate based on or independent of input from the EM signal processing component.

A hard-decision (HD) forward error correcting (FEC) coded signal is decoded by a soft-aided decoder (112) to produce decoded bits (118) using marked reliable bits of the HD-FEC coded signal and marked unreliable bits of the HD-FEC coded signal (soft-aided bit marking) that are computed by calculation (114) and marking blocks (116) based on an absolute value of log-likelihood ratios (LLRs) of the HD-FEC coded signal. The hard-decision (HD) forward error correcting (FEC) coded signal may be, for example, a staircase code (SCC) coded signal or a product code (PC) coded signal.

Various implementations described herein relate to systems and methods for decoding data stored in a non-volatile storage device, including determining features for each of a plurality of component codes corresponding to the data by decoding each of the plurality of component codes, determining an extrinsic value output for each of the component codes based on the features, and after the extrinsic value output for each of the component codes is determined, decoding each of the plurality of component codes based on the extrinsic value outputs of all other component codes of the component codes. Each of the component codes depends on all other component codes.

A decoding method, a memory storage device and a memory controlling circuit unit are provided. The method includes: receiving a read command sequence for reading a plurality of bits from the memory cells; calculating a first count value of a first value and a second count value of a second value in the bits; and adjusting a decoding parameter corresponding to the bits to a specific decoding parameter according to the first count value and the second count value, and performing a decoding operation according to the specific decoding parameter, where the adjusted decoding parameter affects a probability that the bits are considered as an error bit in the decoding operation.

Example successive cancellation list (SCL) parallel decoding methods and apparatus are described. One example method includes obtaining L.sub.1 first decoding paths of an (i−1).sup.th group of to-be-decoded bits after received data corresponds to P groups of to-be-decoded bits, where i is an integer, P is an integer greater than 1, 1<i≤P, and L.sub.1 is a positive integer. L.sub.3 third decoding paths is determined for each first decoding path, where a quantity of information bits in an i.sup.th group of to-be-decoded bits is n, n is a positive integer greater than or equal to 1, L.sub.3 is a positive integer, and L.sub.3<2.sup.n. At least one reserved decoding path of the i.sup.th group of to-be-decoded bits is determined from L.sub.1×L.sub.3 third decoding paths, where the at least one reserved decoding path includes a decoding result of the i.sup.th group of to-be-decoded bits.

A data processing device communicating with a memory device via a memory interface includes: at least one data processor configured to generate first data; a data converter configured to generate second data written to the memory device from the first data; and a controller configured to enable the data converter to generate the second data having a size less than that of the first data.

A memory controller is provided to include an error correction encoder and an error correction decoder. The error correction encoder is configured to encode a message at a second code rate and generate a codeword including a message part, a first parity part, and a second parity part. The error correction decoder is in communication with the error correction encoder and configured to perform at least one of i) first error correction decoding operation at a first code rate greater than the second code rate based on a first parity check matrix and first read values or ii) second error correction decoding operation at the second code rate based on a second parity check matrix and second read values. The first read values correspond to a partial codeword including the message part and the first parity part, and the second read values correspond to an entire codeword.

A communications apparatus to receive a composite signal including a desired signal and interferer signals, where the desired signal may include desired symbols and the interferer signals may include interferer symbols. The system may include N frameworks, each framework may include a detector to partition the desired symbols and the interferer symbols based on an interference severity into a dominant group and a non-dominant group, and to generate A Posteriori Probabilities (APP) of the desired symbols and the interferer symbols. The detector of each of the N frameworks generates the APP based on a feedback of a priori probabilities from each of the N frameworks.