A method is provided for channel encoding in a communication system using an LDPC code. The method includes encoding input bits using a BCH code, shortening bits of the encoded input bits according to a number of bit groups to be shortened and an order among a plurality of orders according to which the bit groups are shortened, wherein the number of bit groups to be shortened is based on a number of bits to be shortened, which is based on a number of the encoded input bits, encoding information bits including the encoded input bits and the shortened one or more bits, using an LDPC code to generate parity bits, puncturing bits in the parity bits based on a puncturing parameter among puncturing parameters, and transmitting a signal generated from the encoded information bits based on the punctured bits. The plurality of orders being based on the puncturing parameters and including first and second orders.

A low density parity check (LDPC) encoder, an LDPC decoder, and an LDPC encoding method are disclosed. The LDPC encoder includes first memory, second memory, and a processor. The first memory stores an LDPC codeword having a length of 16200 and a code rate of 3/15. The second memory is initialized to 0. The processor generates the LDPC codeword corresponding to information bits by performing accumulation with respect to the second memory using a sequence corresponding to a parity check matrix (PCM).

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 12/15, 6/15, or 8/15 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.

Techniques and apparatus are provided for efficiently generating multiple lifted low-density parity-check (LDPC) codes for a range of block lengths and having good performance. A method for wireless communications by a transmitting device generally includes selecting integer lifting values for a first lifting size value Z, selected from a range of lifting size values, wherein the selected integer lifting value is greater than a maximum lifting size value of the range of lifting size values; determining one or more integer lifting values for generating at least a second lifted LDPC code having a second lifting size value based on an operation involving the second lifting size value and the selected one or more integer lifting values for generating the first lifted LDPC code; encoding a set of information bits based on the second lifted LDPC to produce a code word; and transmitting the code word.

Techniques are described for joint encoding and decoding of information symbols. In one embodiment, a method for joint encoding includes, in part, obtaining a sequence of information symbols, generating a plurality of cyclic codewords each corresponding to a portion of the sequence of information symbols, jointly encoding the plurality of cyclic codewords to generate at least one combined codeword, and providing the combined codeword to a device. The at least one combined codeword may be generated through Galois Fourier Transform (GFT). In one embodiment, a method for joint decoding includes, in part, obtaining a sequence of encoded symbols, wherein the sequence of encoded symbols is generated through GFT, jointly decoding the sequence of encoded symbols using an iterative soft decision decoding algorithm to generate a decoded sequence, transforming the decoded sequence to generate a plurality of cyclic codewords, and decoding the plurality of cyclic codewords to generate a plurality of decoded information symbols.

A method for encoding a quasi-cyclic low-density parity-check (LDPC) code according to an embodiment of the present invention may comprise the steps of: generating a multi-edge LDPC code matrix including a high rate code matrix and a single parity check code matrix; and encoding a signal by using the multi-edge LDPC code matrix, wherein the single parity check code matrix includes a first matrix having a non-row-orthogonal structure matrix and a second matrix having a pure row-orthogonal structure, which are concatenated.

The present technology relates to a transmission device, a transmission method, a reception device, and a reception method for securing good communication quality in data transmission using an LDPC code.

The LDPC coding is performed on the basis of the parity check matrix of the LDPC code with the code length N of 17280 bits and the coding rate r of 9/16 or 10/16. The LDPC code includes information bits and parity bits, and the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits. The information matrix portion is represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing positions of elements of 1 of the information matrix for every 360 columns. The present technology can be applied to, for example, data transmission using an LDPC code.

An encoding method and apparatus, and a computer storage medium, wherein same are used to improve the LDPC encoding performance, and are thus suitable for 5G systems. The encoding method comprises: determining a base graph of a low density parity check code (LDPC) matrix, and constructing a cyclic coefficient index matrix; determining a sub-cyclic matrix according to the cyclic coefficient index matrix; and carrying out LDPC encoding according to the sub-cyclic matrix and the base graph.

The present invention related to a 5G or pre-5G communication system to be provided to support a higher data transmission rate since 4G communication systems like LTE. The present invention relates to a method and an apparatus for encoding a channel in a communication or broadcasting system supporting parity-check matrices having various sizes are provided. The method for encoding a channel includes determining a block size of the parity-check matrix; reading a sequence for generating the parity-check matrix, and transforming the sequence by applying a previously defined operation to the sequence based on the determined block size.

A bit interleaver, a bit-interleaved coded modulation (BICM) device and a bit interleaving method are disclosed herein. The bit interleaver includes a first memory, a processor, and a second memory. The first memory stores a low-density parity check (LDPC) codeword having a length of 64800 and a code rate of 3/15. The processor generates an interleaved codeword by interleaving the LDPC codeword on a bit group basis. The size of the bit group corresponds to a parallel factor of the LDPC codeword. The second memory provides the interleaved codeword to a modulator for 16-symbol mapping.