Some Classes Of Generalized Self-shrinking Sequences With Mm-sequence

This paper construct a new sequence of controlled generator on GF(3) which consists of two linear feed shift register (LFSR) sequences of GF(3).The quality of the controlled generator that generated by two mm-sequences on GF(3) is proposed detailedly in this article. And then two kinds of generalized self-shrinking sequences that controlled on one mm-sequences on GF(3) are given.It analysis the pseudo-randomness of the classes of gen-eralized self-shrinking sequences,such as run distribution,least period,balance of symbols and self-correlations. It is shown that the least period, the linear complexity of the new controlled generator and the distribution pseudo-randomness are superior. The new model has powerful ability of preventing attacks and better stability in general.