A method of operating a memory controller that performs decoding by using a parity check matrix corresponding to a convolution-type low density parity check (LDPC) code includes receiving a codeword from at least one memory device, the codeword including a first sub-codeword and a second sub-codeword; decoding a first sub-codeword into first data by using first sliding windows in a first direction, set based on a first sub-matrix included in the parity check matrix and associated with the first sub-codeword; and decoding a second sub-codeword into second data by using second sliding windows in a second direction, set based on a second sub-matrix included in the parity check matrix and associated with the second sub-codeword.

An apparatus and method are provided. The apparatus includes a decoder including a first input configured to receive transport blocks, a second input, and an output configured to provide a decoded codeword, and an offset value updater including an input connected to the output of the decoder, and an output, connected to the second input of the decoder, configured to provide an updated offset value.

A decoding method includes inputting coded data, and decoding the coded data to obtain decoded data. The coded data are generated by using an encoding process at an encoding apparatus, and the encoding process includes: (i) repeatedly-selecting and collecting first packets included in the decoded data to generate at least one second packet; (ii) dividing at least one third packet included in the decoded data into fourth packets; and (iii) allocating fifth packets included in the decoded data to respective sixth packets without collecting the first packets or dividing the at least one third packet, and performing an error correcting encoding on the at least one second packet, the fourth packets, and the sixth packets in accordance with a coding rate selected from a plurality of coding rates to generate parity data.

Provided is an optical transmission/reception device including: an error correction encoding unit configured to encode a sequence to be transmitted with one type of LDPC code; and an error correction decoding unit configured to decode a received sequence encoded with the LDPC code. The error correction decoding unit performs decoding processing for the received sequence based on a check matrix of an LDPC convolutional code. The decoding processing is windowed decoding processing, which is performed by using a window extending over one or more check submatrices. A window size of the window and a decoding iteration count are configured to be variable, and the window size and the decoding iteration count are input from a control circuit connected to the error correction decoding unit.

An apparatus and method are provided. The apparatus includes a decoder, including a first input configured to receive transport blocks, a second input, a third input, a fourth input, and an output configured to provide a decoded codeword, and an offset value updater, including an input connected to the output of the decoder, a first output connected to the third input of the decoder configured to provide an updated offset value, and a second output connected to the fourth input of the decoder configured to provide an index for a next codeword to be decoded.

An encoder and decoder using LDPC-CC which avoid lowering the transmission efficiency of information while not deteriorating error correction performance, even at termination; and an encoding method of the same. A termination sequence length determining unit determines the sequence length of a termination sequence transmitted added to the end of an information sequence, according to the information length (information size) and encoding rate of the information sequence. A parity calculation unit carries out LDPC-CC coding on the information sequence and the known-information sequence necessary for generating a termination sequence of the determined termination sequence length, and calculates a parity sequence.

Provided is an encoder, a decoder, a computer-readable medium and methods of forward error correction channel encoding/decoding within a HARQ scheme, based on a generalized quasi-cyclic low-density parity-check code comprising a Cordaro-Wagner component code.

An encoding method and encoder of a time-varying LDPC-CC with high error correction performance are provided. In an encoding method of performing low density parity check convolutional coding (LDPC-CC) of a time varying period of q using a parity check polynomial of a coding rate of (n1)/n (where n is an integer equal to or greater than 2), the time varying period of q is a prime number greater than 3, the method receiving an information sequence as input and encoding the information sequence using Equation 1 as a g-th (g=0, 1, . . . , q1) parity check polynomial to satisfy 0.

An apparatus and method are provided. The apparatus includes a decoder, including a first input configured to receive transport blocks, a second input, a third input, a fourth input, and an output configured to provide a decoded codeword, and an offset value updater, including an input connected to the output of the decoder, a first output connected to the third input of the decoder configured to provide an updated offset value, and a second output connected to the fourth input of the decoder configured to provide an index for a next codeword to be decoded.

A method and a device of selecting a base graph of a low-density parity-check code are provided. The method includes: acquiring a data information length and a channel coding rate of to-be-encoded data; determining a target base graph selection strategy according to the data information length and an information length range of a base graph; determining a target base graph for the to-be-encoded data according to the target base graph selection strategy and the channel coding rate.