High rate, long block length, low density parity check encoder

A system for generating a low-density parity-check code, comprising:

• a data memory device for storing a block of binary information bits comprising a code block;
• a calculation unit coupled to said data memory device and configured to calculate a plurality of parity bits based on a defined parity check matrix H representing a set of linear modulo 2 parity check equations;
• and
• a selector/serializer configured to combine said plurality of parity bits with said block of binary information bits to form a code word;
• wherein said parity check matrix H include portions A and B such that the parity check matrix H=[A|B], and each row of the parity check matrix H represents one of said parity check equations for generating one of said parity bits;
• wherein said parity check matrix H is constrained so that said portions A and B are each defined by a plurality of sub-matrixes, and each row of said portion B has two values which are equal to the number 1, except for the first row of said portion B which includes a single value equal to the number 1;
• and
• wherein each said sub-matrix is constrained to be an all zero (0) matrix, an identity matrix, or a circular right shifted version of said identity matrix.