A syndrome-based decoding method and apparatus for a block turbo code are disclosed. An embodiment of the present invention provides a syndrome-based decoding method for a block turbo code that includes an extended Hamming code as a component code, where the decoding method includes: (a) generating an input information value for a next half iteration by using channel passage information and the extrinsic information and reliability factor of a previous half iteration; (b) generating a hard decision word by way of a hard decision of the input information value; (c) calculating an n number of 1-bit syndromes, which corresponds to the number of columns or rows of the block turbo code, by using the hard decision word; and (d) determining whether or not to proceed with the next half iteration by using the calculated n number of 1-bit syndromes.

A memory system according to an embodiment includes a nonvolatile memory and a memory controller. The memory controller converts a received value read from the nonvolatile memory into first likelihood information by using a first conversion table, executes decoding on the first likelihood information and outputting a posterior value, outputs an estimated value of the received value obtained on the basis of the posterior value in a case where the decoding is successful. The memory controller generates a second conversion table on the basis of the posterior value in a case where the decoding fails. The memory controller converts the received value into second likelihood information by using the second conversion table in a case where the second conversion table has been generated, and executes decoding on the second likelihood information and outputs a posterior value.

Methods and apparatuses for generating optimized LDPC codes are proposed. One of the methods is a method for generating an optimized LDPC code for an asymmetric transmis¬ sion channel. The method includes receiving an initial LDPC code for the asymmetric transmission channel. Further, the method includes performing a density evolution threshold optimization for the initial LDPC code in order to obtain the optimized LDPC code for the asymmetric transmission channel. A uniformly mixed symmetric channel density for the asymmetric transmission channel is used in the density evolution threshold optimization.

Systems and methods are provided for concatenated error-correcting coding. An apparatus may include a Low-Density Parity-Check (LDPC) decoder configured to perform an iterative LDPC decoding process on bits of an LDPC codeword, a Bose—Chaudhuri—Hocquenghem (BCH) decoder coupled to the LDPC decoder and a BCH scheduler coupled to the LDPC decoder and the BCH decoder. The LDPC codeword may be generated by LDPC encoding a Bose—Chaudhuri—Hocquenghem (BCH) codeword and the BCH codeword may be generated by BCH encoding a data unit. The BCH scheduler may be configured to determine whether a triggering condition for the BCH decoder is met after each iteration of the iterative LDPC decoding process and activate the BCH decoder to operate on an intermediate decoding result of the LDPC decoder if the triggering condition for the BCH decoder is met.

A memory controller includes an interface and a processor. The interface communicates with a plurality of memory cells, and an individual one of the plurality of memory cells stores data in multiple predefined programming levels. The processor is configured to read an Error Correction Code (ECC) code word from a group of memory cells, via the interface, using multiple read thresholds positioned between adjacent programming levels, for producing multiple readouts that contain respective numbers of errors, to derive from the code word a reference readout that contains no errors, or contains a number of errors smaller than in the code word, to calculate multiple distances between the reference readout and the respective readouts, and set a preferred read threshold based on the calculated distances, and to perform subsequent read operations for retrieving data from the plurality of memory cells, using the preferred read threshold.

The subject technology provides for scanning blocks of a flash memory device for erased pages. A first codeword read from a page of a block in a flash memory device is received and provided to a first decoder for decoding. In response to receiving a first success indicator from the first decoder indicating that the first codeword was successfully decoded, first decoded data is provided from the first decoder to a second decoder for verification of the first decoded data. In response to receiving a first failure indicator from the second decoder indicating that the first decoded data was not verified, the page of the block is identified as being in an erased state based on the first success indicator received from the first decoder and the first failure indicator received from the second decoder.

Disclosed are a data decoding method and apparatus, and a computer storage medium. The data decoding method includes: after Polar code data to be decoded is acquired, transmitting the Polar code data to be decoded to at least two pre-configured independent U value calculation modules, the U value calculation modules being configured to calculate a U value required at a next iteration of a G node; controlling the at least two independent U value calculation modules to process the Polar code data to be decoded to obtain at least two sets of new decode data; and, processing the at least two sets of new decode data to obtain new Polar code data to be decoded.

Apparatuses and methods for performing an error correction code (ECC) operation are provided. One example method can include performing a first error code correction (ECC) operation on a portion of data, performing a second ECC operation on the portion of data in response to the first ECC operation failing, and performing a third ECC operation on the portion of data in response to the second ECC operation failing.

Techniques related to improving power consumption of an LDPC decoder are described. In an example, the LDPC decoder uses a message passing algorithm between variable nodes and check nodes. A check node processing unit that generates check node to variable node messages implements a plurality of check node processing mode. Operation in each mode consumes a certain amount of power while providing a certain accuracy. Depending on a reliability of a variable node to check node message received by the check node processing unit, an appropriate check node processing mode is selected and used to generate a corresponding check node to variable node message. The reliability can be estimated for a set of variable node to check node messages based on, for instance, syndrome-related parameters.

The subject technology provides for scanning blocks of a flash memory device for erased pages. A first codeword read from a page of a block in a flash memory device is received and provided to a first decoder for decoding. In response to receiving a first success indicator from the first decoder indicating that the first codeword was successfully decoded, first decoded data is provided from the first decoder to a second decoder for verification of the first decoded data. In response to receiving a first failure indicator from the second decoder indicating that the first decoded data was not verified, the page of the block is identified as being in an erased state based on the first success indicator received from the first decoder and the first failure indicator received from the second decoder.