Various implementations described herein relate to systems and methods for decoding data stored in a non-volatile storage device, including determining error candidates and determining whether at least one first error candidate from the error candidates is found based on two of the component codes agreeing on a same error candidate. In addition, whether at least one second error candidate is found based on two of the component codes agreeing on a same error candidate is determined in response to implementing a suggested correction at one of the error candidates. Errors in the data are corrected based on at least one of whether the at least one first error candidate is found or whether the at least one second error candidate is found.

The present invention is directed to communication systems and methods. In a specific embodiment, the present invention provides a receiver that includes an error correction module. A syndrome value, calculated based on received signals, may be used to enable the error correction module. The error correction module includes an error generator, a Nyquist error estimator, and a decoder. The decoder uses error estimation generated by the Nyquist error estimator to correct the decoded data. There are other embodiments as well.

A memory sub-system configured to encode data using an error correcting code and an erasure code for storing data into memory cells and to decode data retrieved from the memory cells. For example, the data units of a predetermined size are separately encoded using the error correcting code (e.g., a low-density parity-check (LDPC) code) to generate parity data of a first layer. Symbols within the data units are cross encoded using the erasure code. Parity symbols of a second layer are calculated according to the erasure code. A collection of parity symbols having a total size equal to the predetermined size can be further encoded using the error correcting code to generate parity data for the parity symbols.

A memory system includes; a memory device, a memory controller including a first interface, a second interface, and a first data processor having a first error correction code (ECC) engine, and a field programmable gate array (FPGA) including a third interface connected to the first interface, a fourth interface connected to the second interface, a fifth interface connected to an external host, and a second data processor having a second ECC engine. The memory controller may configure a normal write operation path or highly reliable write operation path.

A modulator and a modulation method using a non-uniform 16-symbol signal constellation are disclosed. The modulator includes a memory and a processor. The memory receives a codeword corresponding to a low-density parity check (LDPC) code having a code rate of 4/15. The processor maps the codeword to 16 symbols of the non-uniform 16-symbol signal constellation on a 4-bit basis.

Methods and systems for analyzing data are disclosed. An example method can comprise receiving a first data signal, decoding the first data signal, determining a second data signal based on the decoded first data signal, and determining a modulation error ratio based on a difference between the first data signal and the second data signal.

The present invention provides an electronic device, wherein the electronic device includes a flash memory module and a flash memory controller. The flash memory module includes at least one flash memory chip, each flash memory chip includes a plurality of blocks, and each block includes a plurality of pages, and the flash memory controller is configured to access the flash memory module. In the operations of the electronic device, when the flash memory controller sends a read command to the flash memory module to ask for data on at least one page, the flash memory module uses a plurality of read voltages to read each memory cell of the at least one page to obtain multi-bit information of each memory cell, and the flash memory module transmits the multi-bit information of each memory cell of the at least one page to the flash memory controller.

Examples relate to a decoding apparatus, a decoding device, a decoding method, a decoding computer program, and a communication device, a memory device and a storage device comprising such a decoding apparatus or decoding method. A decoding apparatus for performing iterative decoding on a codeword comprises processing circuitry comprising a plurality of processing units, and control circuitry configured to control the iterative decoding of the codeword. The iterative decoding is based on a parity-check matrix. The matrix is sub-divided into two or more partitions. The control circuitry is configured to operate in a first mode of operation to process a codeword having a first length, and to operate in a second mode of operation to process a codeword having a second length. The control circuitry is configured to multiplex the utilization of the plurality of processing units across the two or more partitions of the matrix at least in the second mode of operation.

Data transmission mitigating interwire crosstalk including: dividing a data block to be transmitted from a transmitter to a receiver across a set of signal wires into sub-blocks; encoding each of the sub-blocks into a plurality of codewords; selecting, for each sub-block by a cost function, one of the codewords that is less likely to introduce interwire crosstalk; transmitting the selected codewords; and updating the cost function at the transmitter with feedback from the receiver.

A memory controller performs an error recovery operation. The controller performs a read operation on a select block using a select read level; decodes data associated with the read operation to generate a syndrome value; determines whether to stop, before a maximum number of iterations, the read operation and the decoding at the select read level, using the syndrome value; when it is determined to stop the read operation and the decoding at the select read level, selects a next read level in a sequence of read levels; and uses the next read level for a subsequent read operation.