Method of encoding data using a low density parity check code

A method for encoding data using a parity check matrix, the method comprising:

• generating a first base matrix including a plurality of indexes, the plurality of indexes including positive integers representing shift values;
• generating a second base matrix by replacing each index of the plurality of indexes of the first base matrix with another index determined based on a flooring operation, wherein the second base matrix includes a second plurality of indexes, each index of the second plurality of indexes indicating a corresponding sub-matrix;
• generating another base matrix by applying at least one of an index expansion or an index permutation to each index of the second base matrix, wherein the another base matrix includes another plurality of indexes, each index of the another plurality of indexes indicating a corresponding sub-matrix;
• generating the parity check matrix by replacing each index of the another base matrix with the sub-matrix corresponding to the each index of the another plurality of indexes of the generated another base matrix;
• and
• outputting an encoded bit stream by encoding an input bit stream using the generated parity check matrix.