US Patent 7865808 Fast error detection system and related methods

A system apparatus and method generates a communications signal having an error detection mechanism. A circuit generates a data packet. An encoder multiplies and accumulates data words with values in a distance table containing non-repeated n-bit multipliers having “m” number of one bits that are set to obtain accumulated sum bits and appends the accumulated sum bits to the data packet as an error detection code to form a communications signal to be transmitted.