摘要
A modified extended binary Euclid' s algorithm which is more regularly iterative for computing an inversion in GF(2^m) is presented. Based on above modified algorithm, a serial-in serial-out architecture is proposed. It has area complexity of O(m), latency of 5m - 2, and throughput of 1/m. Compared with other serial systolic arehiteetures, the proposed one has the smallest area complexity, shorter latency. It is highly regular, modular, and thus well suited for high-speed VLSI design.