A transmitter apparatus and a receiver apparatus are provided. The transmitter apparatus includes: an encoder configured to generate a low density parity check (LDPC) by performing LDPC encoding; an interleaver configured to interleave the LDPC codeword; and a modulator configured to map the interleaved LDPC codeword onto a modulation symbol. The modulator maps a bit included in a predetermined group from among a plurality of groups constituting the LDPC codeword onto a predetermined bit in the modulation symbol.

Disclosed is a memory device which includes a memory cell array that stores first data and first parity data, an error correction code (ECC) circuit that performs ECC decoding based on the first data and the first parity data and outputs error-corrected data and a decoding status flag, and an input/output circuit that provides the error-corrected data and the decoding status flag to a memory controller. The ECC circuit includes a syndrome generator that generates a syndrome based on the first data and the first parity data, a syndrome decoding circuit that decodes the syndrome to generate an error vector, a correction logic circuit that generates the error-corrected data based on the error vector and the first data, and a fast decoding status flag (DSF) generator that generates the decoding status flag based on the syndrome, without the error vector.

The present technology relates to a data processing device and a data processing method, which are capable of securing excellent communication quality in data transmission using an LDPC code. In group-wise interleave, an LDPC code in which a code length N is 16200 bits and an encoding rate r is 6/15, 8/15, or 10/15 is interleaved in units of bit groups of 360 bits. In group-wise deinterleave, a sequence of the LDPC code that has undergone the group-wise interleave is restored to an original sequence. For example, the present technology can be applied to a technique of performing data transmission using an LDPC code.

Disclosed are an encoder, a transmission device, and an encoding method with which the transmission amount is reduced and a deterioration in transmission efficiency is suppressed while improving reception quality when QC-LDPC or a like block encoding is used. A puncture pattern setting unit (620) searches for a puncture pattern for each integral multiple of the number of columns or for each divisor of the number of columns of a sub block matrix that forms a check matrix (H) of a QC-LDPC code, and a puncture unit (data reduction unit) (630) switches the puncture pattern for each integral multiple of the number of columns or for each divisor of the number of columns of the sub block matrix that forms the check matrix of the QC-LDPC code.

In group-wise interleaving, interleaving of an LDPC code having a code length N of 64800 bits and an encoding rate r of 5/15 is performed in a unit of a bit group of 360 bits. In group-wise deinterleaving, an arrangement of the LDPC code that has undergone group-wise interleaving is returned to an original arrangement. The technology can be applied to a case of transmitting data using the LDPC code. The data processing device and data processing method can ensure excellent communication quality in data transmission using an LDPC code.

A low density parity check (LDPC) channel encoding method for use in a wireless communications system includes a communication device encoding 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. The encoding method 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.

Example apparatus and methods control whether and when hybrid rateless Reed Solomon (RS) error correcting codes (ECC) for a message are produced, stored, and distributed. The control may be based on a property (e.g., reliability, error state, speed) of a message recipient. Example apparatus and methods may also control whether and when fountain codes for the message are produced, stored, and distributed. Once again, the control may be based on a property of a message or ECC recipient. Both the hybrid rateless RS ECC and the fountain codes may be produced from data stored in a modified RS matrix. The modified RS matrix may store row-centric error detection codes (EDC) instead of conventional cyclic redundancy check (CRC) characters. The modified RS matrix may store column-centric ECC that may be produced serially. Different types or numbers of ECC may be produced, stored, and provided for different messages stored at different recipients.

The present disclosure provides a method for optimizing a protograph-based LDPC code over an underwater acoustic (UAW) channel. The traditional protograph-based LDPC code over an UAW channel does not consider performance in an error floor region. The method first determines parameters such as a protograph-based LDPC code length, a basic protograph, a target decoding threshold, a threshold adjustment factor, and an ACE check parameter. The protograph is optimized, and the method constructs a parity check matrix by using a UAW channel-based PEG/ACE hybrid algorithm, performs ACE check on the parity check matrix, and calculates a decoding threshold for the matrix passing the check. If the decoding threshold is within a range of an iterative decoding threshold, the parity check matrix is a final optimized matrix. Otherwise, the method continues to optimize the protograph until a parity check matrix passing the check is obtained.

An error correction circuit, including an error correction code (ECC) encoder configured to generate parity data corresponding to main data based on a parity generation matrix, and to output a codeword including the main data and the parity data to a plurality of memory devices; and an ECC decoder configured to: read the codeword from the plurality of memory devices, generate a syndrome corresponding to the codeword based on a parity check matrix, detect an error pattern based on the syndrome, generate a plurality of estimation syndromes corresponding to the error pattern using a plurality of partial sub-matrices included in the parity check matrix, and correct an error included in the read codeword based on a result of a comparison between the syndrome and the plurality of estimation syndromes.

An electronic device, configured to perform a series of low-density parity check, LDPC, decoding operations for a parity check matrix, PCM, derived from at least one basegraph having a plurality of rows, includes: two or more check node, CN, sub-processors having input-output (I-O) port(s); and a controller configured to activate a subset of the I-O port(s) based on a current LDPC decoding sub-step of the LDPC decoding operations and the basegraph. The CN sub-processors support: a first single LDPC decoding operation to perform LDPC decoding computations for two or more rows of the PCM that are derived from different orthogonal rows of the plurality of rows in the basegraph; and a second mode whereby two or more of CN sub-processors co-operate to perform LDPC decoding computations for two or more rows of the PCM that are derived from a single row in the basegraph.