【摘要】 给出GF(q)上生成密钥流的一种简单算法———广义自缩生成器 .GF(q)上的广义自缩序列族B(a)具有群结构 .这些序列之间具有很好的相关性 .这些序列在一个周期之内是均衡的 .族B(a)中不少于 (q- 1) / q的序列具有最小周期qn-1;不少于 (q2 - 1) / q2 的序列具有不小于qn-2 的最小周期更多还原

【Abstract】 We present a simple key stream algorithm on GF( q ) named the generalized self shrinking generator. B(a), the family of generalized self shrinking sequences, has a group structure. The correlation between the sequences is quite good. The sequences are balanced within a period. No less than (q-1)/q of the sequences from B(a) have their least periodes of q n-1 . No less than (q 2-1)/q 2 of the sequences from B(a) have their periods of no less than q n-2 .更多还原