Jianqin Zhou (Dept. of Computer Science, Anhui University of Technology, Ma’anshan 243002, P. R. China) (E-mail: zhou63@ahut.edu.cn) Abstract: A fast algorithm is presented for determining the linear complexity and the minimal polynomial of periodic sequences over GF(q) with period q n p m , where p is a prime, q is a prime and a primitive root modulo p. The algorithm presented here generalizes...