Design of base parity-check matrices for LDPC codes that have subsets of orthogonal rows
An extended matrix and data encoding technology, applied in the direction of encoding, code conversion, encoding components, etc., can solve the problems of parity check matrix destruction, high encoding complexity, etc.
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[0046] In the present invention, the z-row orthogonal basis matrix with the size of mb×nb can be defined as a basis matrix composed of a group of sub-matrices. All submatrices or all submatrices except one are of size z×nb, where z>1; at most one submatrix is of size z′×nb, where z′<z. z, z', mb, and nb are positive natural numbers, and mb and nb also represent the number of rows and columns, respectively.
[0047] A z-row orthogonal basis matrix can be used to describe or represent an LDPC code, and has the advantage that higher row decoder parallelization can be achieved for the obtained LDPC code when expanding said z-row orthogonal basis matrix by a factor q , that is, realize the parallelization of the row decoder with a factor of q×z.
[0048] It should be noted that a submatrix does not necessarily consist of consecutive rows, so a submatrix may, for example, not contain the first and second rows of the associated z-row orthogonal basis matrix, but contain the first ...
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