1. A decoder memory system comprising: a first memory configured to store a parity check matrix H; a second memory associated with a first decoding iteration of a tensor product code, the second memory configured to receive a first portion of the parity check matrix H from the first memory; a third memory associated with a second decoding iteration of the tensor product code, the third memory configured to receive a second portion of the parity check matrix H from the first memory, wherein the second decoding iteration is performed subsequent to and based on the first decoding iteration, and wherein the second portion is same as the first portion; a fourth memory configured to store likelihood ratios; and a control module configured to generate a low-density parity check decoded signal based on (i) the parity check matrix H, (ii) the first decoded iteration, and (iii) the likelihood ratios.