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 data storage device has a controller that is configured to generate SECDED codes based on a plurality (at least 2) of codes, where each of the constituent codes is a cyclic code over a finite field of size 2.sup.m for some integer m. Any 2 constituent codes are associated with 2.sup.m1 and 2.sup.m2, where m1 and m2 are coprime (i.e., gcd(m1,m2)=1) where gcd is the greatest common divisor. In such a case, it is possible to generate a cyclic code of length (2.sup.m1−1)*(2.sup.m2−1), which will be a long code, but enjoy the complexity, in encoding and decoding, of the small fields of the constituent codes.

Certain aspects of the present disclosure generally relate to techniques for enhanced puncturing and low-density parity-check (LDPC) code structure. A method for wireless communications by a transmitting device is provided. The method generally includes encoding a set of information bits based on a LDPC code to produce a code word, the LDPC code defined by a base matrix having a first number of variable nodes and a second number of check nodes; puncturing the code word according to a puncturing pattern designed to puncture bits corresponding to at least two of the variable nodes to produce a punctured code word; adding at least one additional parity bit for the at least two punctured variable nodes; and transmitting the punctured code word.

This application provides a data processing method, a data processing apparatus, and a communications device. The data processing method includes: coding a first bit sequence, to obtain a second bit sequence, where the first bit sequence includes a first information bit and a first padding bit, and the second bit sequence includes a second information bit and a redundant bit; and storing the second bit sequence in a circular buffer.

Provided herein may be an error correction decoder based on an iterative decoding scheme using NB-LDPC codes and a memory system having the same. The error correction decoder may include a symbol generator for assigning an initial symbol to a variable node, a reliability value manager for setting and updating reliability values of candidate symbols of the variable node in current iteration, a flipping function value calculator for calculating a flipping function value by subtracting a function value, related to the updated reliability values of remaining candidate symbols other than a target candidate symbol, from another function value, related to the updated reliability value of the target candidate symbol, in the current iteration, and a symbol corrector for changing the hard decision value to the target candidate symbol when the flipping function value is equal to or greater than a first threshold value in the current iteration.

A data transmitting method using an LDPC code as an error correction code is provided. The method includes providing a parity check matrix of LDPC code, wherein the size of the parity check matrix is (m1+m2)×(n1+n2); in a sending side, encoding an input data of K bits with a encoder to generate a first block code of (n1+n2) bits, according to the parity check matrix; through a transmitting channel, sending n1 bits of the first block code from the sending side to a receiving side, wherein n2 bits of the first block code are not transmitted; and receiving the n1 bits of the first block code in the receiving side, and using the parity check matrix to perform a decoding algorithm to the received first block code to iterative decodes a second block code of (n1+n2) bits with a decoder. Furthermore, a data decoding method thereof is also provided.

The present invention relates to a method for adapting a link using a polar-modulation (PQAM) constellation. It applies in particular to the communications in the sub-THz band, in which the oscillator of the receiver has phase fluctuations. In a PQAM-modulation constellation, the modulation symbols are distributed on concentric circles equidistant in the complex plane, each circle including the same number of symbols, the angular distribution of the symbols on a circle being uniform and identical regardless of the circle. The adaptation of the link is carried out by taking into account the thermal noise as well as the phase noise.

The present disclosure relates to a method, system, and non-transitory computer-readable storage medium for constructing a base matrix of a PBRL LDPC code, comprising: determining at least one candidate sub-matrix of a PBRL LDPC code based on a base matrix of a QR-QC-LDPC code; obtaining at least one count of cycles with at least one preset length for each of the at least one candidate sub-matrix; and determining a first sub-matrix of the base matrix of the PBRL LDPC code based on the at least one count of cycles.

The present technology relates to a data processing device and a data processing method which can ensure high communication quality in data transmission using LDPC codes.

In group-wise interleaving, an LDPC code having a code length N of 64800 bits and a coding rate r of 13/15 is interleaved in a unit of a bit group of 360 bits. In group-wise deinterleaving, a sequence of bit groups of the LDPC code which has been subjected to the group-wise interleaving is returned to an original sequence. The present technology can be applied to, for example, a case in which data transmission is performed using LDPC codes.

For an encoder for use in a flash memory controller, partial parity blocks generated in the encoder are divided into two parts for further operations, wherein a number of partial parity block(s) of the first part generated earlier is less than a number of partial parity block(s) of the second part. The encoder can reduce the hardware required for the circulant convolution calculation in the encoder, and has high efficiency. In addition, by converting a parity-check matrix to generate an isomorphic matrix, some components in the encoder and the decoder can be further omitted, so as to further reduce the manufacturing cost.