Embodiments of this application disclose provides a low density parity check (LDPC) channel encoding method for use in a wireless communications system. A communication device encodes an input bit sequence by using a LDPC matrix, to obtain an encoded bit sequence for transmission. The LDPC matrix is obtained based on a lifting factor Z and a base matrix. Embodiments of the application provide eight particular designs of the base matrix. The encoding method provided in the embodiments of the application can be used in various communications systems including the fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.

Reduced complexity encoders and related systems, apparatuses, and methods are disclosed. An apparatus includes a data storage device and a processing circuitry. The data storage device is to store a first data part of a transmit data frame. The transmit data frame is received from one or more higher network layers that are higher than a physical layer. The transmit data frame includes the first data part and a second data part. The second data part includes data bits having known values. The processing circuitry is to retrieve the first data part of the transmit data frame from the data storage device and determine parity vectors for the transmit data frame independently of the second data part responsive to the first data part.

Methods, systems and devices for forward error correction in orthogonal time frequency space (OTFS) communication systems using non-binary low-density parity-check (NB-LDPC) codes are described. One exemplary method for forward error correction includes receiving data, encoding the data via a non-binary low density parity check (NB-LDPC) code, wherein the NB-LDPC code is characterized by a matrix with binary and non-binary entries, modulating the encoded data to generate a signal, and transmitting the signal. Another exemplary method for forward error correction includes receiving a signal, demodulating the received signal to produce data, decoding the data via a NB-LDPC code, wherein the NB-LDPC code is characterized by a matrix with binary and non-binary entries, and providing the decoded data to a data sink.

A memory controller is configured to perform first error correcting code (ECC) encoding on a plurality of first frames of data, generate a plurality of delta syndrome units corresponding, respectively, to the plurality of first frames of data, generate a delta syndrome codeword by performing second ECC encoding on the plurality of delta syndrome units, the delta syndrome codeword including one or more redundancy data units, perform third ECC encoding on at least one second frame of data such that the encoded at least one second frame of data is a first vector of bits, and determine a second vector of bits such that, adding the second vector of bits to the first vector of bits forms a combined vector of bits which is an ECC codeword having a delta syndrome a value of which is pre-fixed based on at least one of the one or more redundancy data units.

Provided is a system and method for determining a generalized Low-Density Parity-Check (LDPC) code for forward error correction channel coding that has a repeat-accumulate code structure.

A network device implements a repetition scheme to generate a repetition-encoded forward error correction (FEC) codeword for a FEC codeword. The repetition-encoded FEC codeword includes a set of N offset-shifted bit sequences. In some embodiments, each bit sequence is formed by M replicas of the FEC codeword and an offset is applied to shift the bit sequence where the offset is different for each bit sequence. The set of N offset-shifted bit sequences are allocated into N orthogonal frequency-division multiplexing (OFDM) symbols, wherein each offset-shifted bit sequence is allocated over a corresponding OFDM symbol.

Provided is an optical transmission/reception device including an error correction decoding unit (36) for decoding a received sequence encoded with an LDPC code, in which the error correction decoding unit (36) is configured to perform decoding processing using a parity check matrix (70) of a spatially-coupled LDPC code, which includes a plurality of parity check sub-matrices (71) combined with each other, in which the decoding processing is windowed decoding processing that uses a window (80) over one or more parity check sub-matrices (71), and in which a window size of the window (80) and a decoding iteration count due to throughput and requested correction performance are variable and input from a control circuit (12) connected to the error correction decoding device (36).

Methods and devices for encoding source words and decoding codewords wherein encoding a source word includes: receiving a 1×K source word row vector ū; and generating a 1×N codeword vector c=ū.Math.G, wherein G is a K×N generator matrix derived from a parity check matrix H.sub.I; and wherein the parity check matrix H.sub.I is derived from a base parity check matrix H by applying an optimized lifting matrix to the base parity check matrix H.

The present disclosure relates to polar code encoding methods and apparatus. One example method includes separately performing check encoding on the at least two to-be-checked first bit sequences to obtain at least two check bit sequences, where a union set of the at least two to-be-checked first bit sequences includes the K information bits, and K is a positive integer, interleaving the K information bits and the at least two check bit sequences, or interleaving a first part of information bit sequence and a first check bit sequence to obtain an interleaved third bit sequence, where a second check bit sequence, a third check bit sequence, and a second part of information bit sequence in a sequence of all information bits except the first part of information bit sequence form a second bit sequence, and performing polar encoding on the second bit sequence.

In a multi-antenna communication system using LDPC codes, a simple method is used to effectively improve the received quality by performing a retransmittal of less data without restricting applicable LDPC codes. In a case of a non-retransmittal, a multi-antenna transmitting apparatus (100) transmits, from two antennas (114A,114B), LDPC encoded data formed by LDPC encoding blocks (102A,102B). In a case of a retransmittal, the multi-antenna transmitting apparatus (100) uses a transmission method, in which the diversity gain is higher than in the previous transmission, to transmit only a part of the LDPC encoded data as previously transmitted. For example, the only the part of the LDPC encoded data to be re-transmitted is transmitted from the single antenna (114A).