A pre-5th-generation (pre-5G) or 5G communication system for supporting higher data rates beyond a 4th-generation (4G) communication system, such as long term evolution (LTE) is provided. A channel encoding method in a communication or broadcasting system includes identifying an input bit size, determining a block size (Z), determining a low density parity check (LDPC) sequence to perform LDPC encoding, and performing the LDPC encoding based on the LDPC sequence and the block size.

A method for generating a code, a method for encoding and decoding data, and an encoder and a decoder performing the encoding and decoding are disclosed. In an embodiment, a method for lifting a child code from a base code for encoding and decoding data includes determining a single combination of a circulant size, a lifting function, and a labelled base matrix PCM according to an information length and a code rate using data stored in a lifting table. The lifting table was defined at a code generation stage. The method also includes calculating a plurality of shifts for the child code. Each shift is calculated by applying the lifting function to the labelled base matrix PCM with a defined index using the circulant size and using the derived child PCM to encode or decode data.

Methods, systems, and apparatus are provided for encoding code blocks for transmission in a wireless communication system. An example encoding method in a wireless communication system includes determining, for one or more code blocks of a transport block, that at least one of a plurality of criteria is met, wherein the plurality of criteria includes that a coding rate (R) is less than or equal to ¼ or that a transport block size (TBS) is less than or equal to 3824 bits and the R is less than or equal to ⅔. The one or more code blocks are encoded using low-density parity-check (LDPC) base graph 2, wherein a maximum code block size is 3840 bits. The one or more encoded code blocks are transmitted over the wireless network.

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.

A storage device includes a memory array and a memory controller. The memory controller generates read and write commands for the memory array. An error correction code engine for the storage device is operable to use a plurality of different codeword sizes, different code rates, or different ECC algorithms. Logic is included that applies a selected codeword size, code rate or ECC algorithm in dependence on the operating conditions of the memory array.

An electronic device is configured to perform a series of low density parity check, LDPC, decoding operations that use at least one basegraph that comprises two or more columns, each column associated with a set of two or more soft bit values. The electronic device includes two or more rotators, each rotator-configured to rotate an order of a subset of two or more soft bit values of the set of two or more soft bit values of a column when activated in an LDPC decoding operation; wherein rotations associated with each column in each basegraph are performed by a particular one of the rotators-of the two or more rotators, wherein each rotator performs rotations for a set of one or more columns, with at least one of the rotators performing rotations for two or more columns in a same basegraph.

Example implementations include a method of optimizing irregular error correction code components in memory devices, a method including obtaining one or more code rate parameters including a payload size parameter, a group size parameter, and a redundancy parameter generating a first number of first code component blocks associated with a first error correction capability, and a second number of code component blocks associated with a second error correction capability aligning the first code component blocks and the second code component blocks to the group size parameter aligning the first code component blocks and the second code component blocks to a code component length constraint, and generating, in accordance with an optimization metric based on the first error correction capability and the second error correction capability, first optimized code components based on the first code component blocks and second optimized code components based on the second code component blocks.

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.

The embodiments of the present disclosure provide a method and an apparatus for data processing with structured LDPC codes. The method includes: obtaining a code block size for structured LDPC coding; determining a coding expansion factor z based on at least one of the code block size, a parameter kb of a basic check matrix, a positive integer value p or the basic check matrix having mb rows and nb columns; and encoding a data sequence to be encoded, or decoding a data sequence to be decoded, based on the basic check matrix and the coding expansion factor. The present disclosure is capable of solving the problem in the related art associated with low flexibility in data processing with LDPC coding and improving the flexibility in data processing with LDPC coding.

An encoder that supports multiple code rates and code lengths is disclosed. A shift register utilized by the encoder may be scaled in size based on a selected code rate or code length. The shift register shifts a bit series for the matrix without requiring fixed feedback points within the register. The sizes of the matrix and bit series are based on the selected code rate or code length, and the encoder loads the bit series into a first portion of the shift register, and a division of the bit series into a second portion of the shift register located adjacent to the first portion. The encoder periodically repopulates the shift register from memory to simulate circular shifting of the bit series without feedback points. Accordingly, complexity of the encoder is reduced.