结合Gray映射和分圆理论,在Z_4上构造了一类周期为pq的广义分圆序列。在有限域Fr(r≥5为奇素数)上确定新序列对应的傅里叶谱序列,并基于傅里叶谱序列的重量来确定新序列的线性复杂度。结果表明,该序列具有良好的线性复杂度性质,能够抗击B-M算法的攻击,是密码学意义上性质良好的伪随机序列。 Combined with Gray mapping and circle theory, a class of generalized circular sequences with period pq is constructed on Z_4. The Fourier series of the new series is determined on the finite field Fr (r≥5 is an odd prime number), and the linear complexity of the new series is determined based on the weight of the Fourier series. The results show that this sequence has a good linear complexity and can attack B-M attacks. It is a cryptographically good pseudo-random sequence.