FPGA design of the fast decoder for burst errors correction

The paper is about FPGA design of the fast single stage decoder for correcting burst errors during data transmission. The decoder allows correcting burst errors with 3 bits for a 15 bit codeword and a 7 bit check unit. The description of a generator polynomial search algorithm for building error-correcting codes was represented. The module structure of the decoder was designed for FPGA implementation. There are modules, such as remainder, check_pattern, decoder2, implemented by asynchronous combinational circuits without memory elements, and they process each codeword shift in parallel. Proposed implementation allows getting high performance about ∼20 ns.