【摘要】 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。更多还原

【Abstract】 The new model of four generalized self-shrinking sequences with many excellent properties is structured and discussed,and such generalized self-shrinking sequences of the smallest cycle could always reach the maximum,and 0-pattern,1-pattern,2-pattern are in balanced distribution,and this is its unique advantages.Research shows that,with the fourth class of generalized self-shrinking sequences on GF(2),the new self-sequences on GF(3) could maintain good consequences of pseudo-randomness,and as compared with other self-shrinking sequences,are of better cryptography properties.更多还原