An efficient on-the-fly encoding algorithm for binary and finite field LDPC codes

We present a general framework on prototype structures for efficiently encoding low density parity check codes on-the-fly. The encoding algorithm is applicable to finite field based codes and can handle a wide range of high code rates and large block lengths. This structure can be used particularly in data storage and multimedia applications with increased code rate and throughput requirements. We also establish the necessary and sufficient conditions for the existence of such encoders.