In this paper, possible values of the correlation function of the highest lever sequences of primitive sequences over Z 4 are determined.

Cryptographic characters such as correlation function values,linear complexity and element distribution of the highest lever sequences of primitive sequences over GR(4,m) are determined.

Using the trace representation of a primitive sequence over GR(4, r) and some results on quadratic forms, the distribution of elements in the first coordinate sequence of a primitive sequence is obtained.

We introduce a concept of muti-period optimal weight series matrix of dynamic combined investment.

In LCC-PTS, the computation for candidate signals was simplified by making use of the relation between phase weighting sequences, which resulted in reducing computational complexity dramatically.

The determination of the optimal sequence of rnulticomponent separation process is presented by usjngthe generalized least deviation priority method of comparison matrix.

There is a multiplicative group among the permutation groups,the sequence obtained under the action of it is cyclic shift of related PTS,and the perfect sequence and its cyclic shifts compose an equivalence class.