Certain aspects of the present disclosure provide an efficiently decodable QC-LDPC code which is based on a base matrix, the base matrix being formed by columns and rows, the columns being dividable into one or more columns corresponding to punctured variable nodes and columns corresponding to non-punctured variable nodes. Apparatus at a transmitting side includes a encoder configured to encode a sequence of information bits based on the base matrix. Apparatus at a receiving side configured to receive a codeword in accordance with a radio technology across a wireless channel. The apparatus at the receiving side includes a decoder configured to decode the codeword based on the base matrix.

Certain aspects of the present disclosure generally relate to techniques for puncturing of structured low-density parity-check (LDPC) codes. Certain aspects of the present disclosure generally relate to methods and apparatus for a high-performance, flexible, and compact LDPC code. Certain aspects can enable LDPC code designs to support large ranges of rates, blocklengths, and granularity, while being capable of fine incremental redundancy hybrid automatic repeat request (IR-HARQ) extension while maintaining good floor performance, a high-level of parallelism to deliver high throughout performance, and a low description complexity.

Examples relate to a decoding apparatus, a decoding device, a decoding method, a decoding computer program, and a communication device, a memory device and a storage device comprising such a decoding apparatus or decoding method. A decoding apparatus for performing iterative decoding on a codeword comprises processing circuitry comprising a plurality of processing units, and control circuitry configured to control the iterative decoding of the codeword. The iterative decoding is based on a parity-check matrix. The matrix is sub-divided into two or more partitions. The control circuitry is configured to operate in a first mode of operation to process a codeword having a first length, and to operate in a second mode of operation to process a codeword having a second length. The control circuitry is configured to multiplex the utilization of the plurality of processing units across the two or more partitions of the matrix at least in the second mode of operation.

This application relates to communicating information between communication devices. A channel coding method is disclosed. A communication device obtains an input sequence of K bits. The communication device encodes the input sequence using a low density parity check (LDPC) matrix H, to obtain an encoded sequence. The LDPC matrix H is determined according to a base matrix and a lifting factor Z. The base matrix includes m rows and n columns, m is greater than or equal to 5, and n is greater than or equal to 27. The lifting factor Z satisfies a relationship of 22*Z≥K. According to the encoding method provided in the embodiments, information bit sequences of a plurality of lengths can be encoded for transmission between the communication devices.

Embodiments are directed to collision-free hashing for accessing cryptographic computing metadata and for cache expansion. An embodiment of an apparatus includes one or more processors to: receive a physical address; compute a set of hash functions using a set of different indexes corresponding to the set of hash functions, wherein the set of hash functions combine additions, bit-level reordering, bit-linear mixing, and wide substitutions, wherein the plurality of hash functions differ in the bit-linear mixing; access a plurality of cache units utilizing the set of hash functions; read different sets of the plurality of cache units in parallel, where a set of the different sets is obtained from each cache unit of the plurality of cache units; and responsive to the physical address being located one of the different sets, return cache line data of the set corresponding to the set of the cache unit having the physical address.

A method for generating a signal, including turbo-coding a set of information symbols delivering, on the one hand, the information symbols and, on the other hand, redundancy symbols. The turbo-coding implementing, to obtain the redundancy symbols: an encoding of the set of information symbols by a first encoder, an interleaving of the set of information symbols, and an encoding of the set of information symbols interleaved by a second encoder. The turbo-coding also implements a bijective transformation of the information symbols, implemented before and/or after the interleaving, the transformation modifying a value of at least two of the information symbols prior to the coding of the information symbols by the first and/or the second coder.

A method and apparatus are provided for transmitting an LDPC code in a multimedia system. The method includes generating an LDPC code based on a resulting parity check matrix which is generated by performing a row splitting operation on a base parity check matrix; and transmitting the LDPC code. The row splitting operation includes splitting each row block included in the base parity check matrix into row blocks, a number of the row blocks is determined based on a splitting factor, and the splitting factor is determined based on a number of repair symbols included in a repair symbol block of the base parity check matrix, a number of rows included in the base parity check matrix, and a scaling factor for determining a size of each permutation matrix in the resulting parity check matrix and a size of each zero matrix included in the resulting parity check matrix.

A data processing method based on a quasi-cyclic LDPC includes: when a size of service data is less than a magnitude of information bit of the quasi-cyclic LDPC, calculating a difference value between the magnitude of the information bit of the quasi-cyclic LDPC and the size of the service data, and filling the service data with the same amount of known data as the difference value (S103); coding the filled service data to obtain redundancy check data corresponding to the service data (S104); and sending the service data and the redundancy check data to a corresponding physical location in the storage unit (S105). It ensures that when a code length of the quasi-cyclic LDPC is constant, the code length ideally adapts to internal space of the storage unit, and the quasi-cyclic LDPC has a relatively high error correction capability, thereby improving reliability and service life of the storage unit.

Methods and devices are disclosed for encoding source words and decoding codewords with LDPC matrices, comprising: receiving a 1×K source word row vector ū; and generating a 1×N codeword vector c=ū.Math.G, wherein G is a K×N generator matrix derived from a parity check matrix H.sub.l; and wherein H.sub.l is derived from a base parity check matrix H by summing different rows in the base parity check matrix H to obtain an intermediate parity check matrix, and applying a lifting matrix to the intermediate base parity check matrix to obtain H.sub.l.

Embodiments of this application disclose provides a low density parity check (LDPC) channel encoding method for use in a wireless communications system. A communication device encodes 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. Embodiments of the application provide eight particular designs of the base matrix. The encoding method provided in the embodiments of the application 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.