Method and apparatus for decoding an error correction code

摘要

A bit-serial key-equation solver employs the modified Euclidean algorithm to determine an error location polynomial and an error evaluation polynomial for decoding Reed-Solomon codes. The key equation solver includes a one-bit quotient bus for bit-serially transmitting the digits of a quotient value and a plurality of processing units each of which bit-serially receives the quotient digits from the one-bit quotient bus and each of which can be configured as a serial-in parallel-out (SIPO) standard basis bit-serial multiplier. Swapping and shifting of the register contents is also bit-serial. The key equation solver needs only the standard basis.