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在GF(3)上讨论了所构造的四类广义自缩序列的伪随机性,这四类广义自缩序列具有很多优良的性质,同时也证明了这四类广义自缩序列的最小周期都达到最大值:2×3n-1;0-游程,1-游程,2-游程分布非常均衡,这一点是其他GF(3)上广义自缩序列所不具有的优点;研究表明:此四类新序列不但保持了GF(2)上第四类广义自缩序列良好的伪随机性,并与GF(3)上其它广义自缩序列的性质相比具有更好的密码学特性。
The pseudo-randomness of the four generalized self-shrink sequences constructed by GF (3) is discussed. These four kinds of generalized self-shrink sequences have many excellent properties. At the same time, it is also proved that the minimum cycles of these four kinds of generalized self-shrink sequences The maximum value is 2 × 3n-1. The 0-run, 1-run and 2-run distribution are well-balanced. This is the advantage that generalized self-shrink sequences on GF (3) do not have. The new sequence not only retains good pseudo-randomness of the fourth generalized self-shrink sequence on GF (2), but also has better cryptographic properties than other generalized self-shrink sequences on GF (3).