CRC Circuits with Extended Cycles

A structure for a parallel cyclic redundancy check (CRC) structure in which the number of cycles in the loopback can be arbitrarily extended is provided. The parallel CRC structure includes a reweighting module in the feedback loop that is pipelined into multiple stages. The parallel CRC structure also includes multiple feed forward reweighting modules that correspond to the multiple pipeline stages in the feedback loop. The reweighting module in the feedback loop accumulates and reweights the contribution of all symbols in the message, while the N reweighting modules in the N parallel feed-forward paths provide the contributions of the symbols that are “in-flight” within the feedback loop to the final CRC checksum.