Certain aspects of the present disclosure generally relate to techniques for compactly describing lifted low-density parity-check (LDPC) codes. A method by a transmitting device generally includes selecting a first lifting size value and a first set of lifting values; generating a first lifted LDPC code by applying the first set of lifting values to interconnect edges in copies of a parity check matrix (PCM) having a first number of variable nodes and a second number of check nodes; determining a second set of lifting values for generating a second lifted LDPC code for a second lifting size value based on the first lifted PCM and the first set of lifting values; encoding a set of information bits based the first lifted LDPC code or the second lifted LDPC code to produce a code word; and transmitting the code word.

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate an LDPC codeword including the input bits and parity bits to be transmitted to a receiver in a current frame; a repeater configured to repeat, in the LDPC codeword, at least some bits of the LDPC codeword in the LDPC codeword so that the repeated bits are to be transmitted in the current frame; a puncturer configured to puncture some of the parity bits; and an additional parity generator configured to select at least some bits of the LDPC codeword including the repeated bits, and generate additional parity bits to be transmitted in a previous frame of the current frame.

According to certain embodiments, a method by a transmitter is provided for adaptively generating precoder bits for a Polar code. The method includes acquiring at least one configuration parameter upon which a total number of precoder bits depends. The at least one configuration parameter comprising at least one of an information block length K, a code block length N, and/or a code rate R=K/N. The total number of precoder bits is determined, and the precoder bits for a code block are generated according to the determined total number of precoder bits. The precoder bits are placed within the code block.

Example channel circuits, data storage devices, and methods for using an extendable parity code matrix are described. A data unit may be read from a storage medium. Multiple sets of parity bits may be available for the data unit, each set of parity bits having a different number of parity bits corresponding to different parity matrices, including a primary parity matrix and at least one extended parity matrix. The extended parity matrix includes the primary parity matrix and additional rows for increased decoding. Error correction code (ECC) decoding may be selectively performed based on the different sets of parity bits and corresponding parity matrices, resulting in the output of a decoded data unit based on the data unit from the read signal.

Methods, systems, and apparatus, including computer programs encoded on computer storage media, for improving adaptive satellite communication. In some implementations, a method includes receiving, by a receiver and from a transmitter, code blocks transmitted according to a first set of parameters that comprises one or more of a first modulation used to transmit the code blocks or a first coding used to encode the code blocks for transmission. A number of corrupted code blocks and a number of parity blocks in a series of the code blocks received are determined. The number of corrupted code blocks are compared with the number of parity blocks. A second set of parameters are determined based on the comparison of the number of corrupted code blocks with the number of parity blocks. The second set of parameters are communicated to the transmitter for subsequent transmissions.

The present disclosure relates to a pre-5.sup.th-Generation (5G) or 5G communication system to be provided for supporting higher data rates Beyond 4.sup.th-Generation (4G) communication system such as Long Term Evolution (LTE). The present disclosure discloses a method for effective retransmission when HARQ is applied to data encoded with a low density parity check (LDCP) code. A data transmission method of the transmitter may include: initially transmitting data encoded with an LDPC code to a receiver; receiving a negative acknowledgement (NACK) from the receiver; determining retransmission related information for data retransmission; and retransmitting, in response to the NACK, LDPC-encoded data based on the retransmission related information.

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity permutator configured to group-wise interleave a plurality of bit groups including the parity bits; and a puncturer configured to select some of the parity bits in the group-wise interleaved bit groups and puncture the selected parity bits, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups at predetermined positions in the bit groups before the group-wise interleaving are positioned serially after the group-wise interleaving and a remainder of the bit groups before the group-wise interleaving are positioned without an order after the group-wise interleaving so that the puncturer selects parity bits included in the some of the bit groups sequentially and selects parity bits included in the remainder of the bit groups without an order.

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity permutator configured to perform parity permutation by interleaving the parity bits and group-wise interleaving a plurality of bit groups including the interleaved parity bits; and a puncturer configured to select some of the parity bits in the group-wise interleaved bit groups, and puncture the selected parity bits, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups are positioned at predetermined positions, respectively, and a remainder of the bit groups are positioned without an order within the group-wise interleaved bit groups so that the puncturer selects parity bits included in the some of the bit groups positioned at the predetermined positions sequentially and selects parity bits included in the remainder of the bit groups without an order.

A low density parity check (LDPC) channel encoding method is used in a wireless communications system. A communication device encodes an input bit sequence by using an 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 base matrix may be one of eight exemplary designs. The encoding method can be used in various communications systems including fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.

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.