LDPC Matrix Lifting for Variable Code Length and Rate Support

The patent applies dynamics by making the LDPC matrix structure adjustable through row and column permutations. The base matrix is transformed into different expanded matrices with varying dimensions and structures, allowing the system to adapt to different code block lengths and code rates while maintaining manageable encoding and decoding complexity through the use of a standardized base matrix framework.

The patent changes parameters of the LDPC matrix by varying the lifting factor Z and performing row/column permutations on the base matrix. These parameter changes enable the generation of different expanded LDPC matrices that support various code block lengths and code rates, resolving the contradiction between fixed structure simplicity and adaptive versatility.

The patent implements universality by designing a single base matrix that can be transformed into multiple expanded LDPC matrices through permutations and expansions. This universal base matrix serves multiple functions by supporting various code block lengths and code rates, eliminating the need to design separate LDPC matrices for each length and thereby reducing implementation complexity.

The patent segments the LDPC matrix into a base matrix and expanded portions. The base matrix contains the fundamental structure, while the expansion through lifting factor Z and permutations creates the specific matrix needed for each code block length. This segmentation allows reuse of the base matrix structure while adapting to different requirements.