essentially periodic sequence
4.Then the existence ofeventually periodic orbits in a general ununodal function f discussed. It is proved that if ak-th eventually n-periodic admissible sequence AB￣∞ satisfies certain requirements then f hasa k-th eventually n-periodic orbit of type AB￣∞ For an ext ensive class of unimodal functions,the condition of the main theorem in Part II.
5.By using the properties of trace function, the cryptographic characters of GMW sequences, Cascaded GMW sequences, No sequences and Kasami sequences are discussed in this thesis. All these characters include the periodic of sequence, the trinomial property, periodic correlation function and so on. Based on these characters, all those sequences mentioned above are proved to have regular trinomial pairs.
