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.

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.

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.

A new OFDM frame synchronization algorithm based on special weighted sequence is proposed in this paper with the aim to reduce the calculation complexity of WMAN OFDM frame synchronization.

By studying p-ary d-form sequences and shift sequences,a new algorithm for accelerating constructing p-ary d-form sequences is presented.

By studying cascade unified sequences and shift sequences,a new iterative algorithm for accelecrating constructing p-ary cascade unified sequences is presented.

To satisfy the unique request of PN sequences optimization,the paper proposes a scheme in which a set of shift sequences of one m-sequence are used as SS code in radio navigating system.