CRT-Based High Speed Parallel Architecture for Long BCH Encoding

Abstract: BCH (Bose-Chaudhuri-Hocquenghen) error correcting codes ([1]-[2]) are now widely used in communication systems and digital technology. Direct LFSR(linear feedback shifted register)-based encoding of a long BCH code suffers from serial-in and serial-out limitation and large fanout effect of some XOR gates. This makes the LFSR-based encoders of long BCH codes cannot keep up with the data transmission speed in some applications. Several parallel long parallel encoders for long cyclic codes have been proposed in [3]-[8]. The technique for eliminating the large fanout effect by J-unfolding method and some algebraic manipulation was presented in [7] and [8] . In this paper we propose a CRT(Chinese Remainder Theorem)-based parallel architecture for long BCH encoding. Our novel technique can be used to eliminate the fanout bottleneck. The only restriction on the speed of long BCH encoding of our CRT-based architecture is $log_2N$, where $N$ is the length of the BCH code.