A New Family of Optimal Hopping Sequences Based upon Polynomial Theory
Lin Zhi-hua · Dianzi xuebao · 2008
In this paper,a new family of hopping sequences called an-optimal Hamming-correlation set for use in frequency-hopping(FH)code-division multipleaccess(CDMA)system is proposed.The construction of the new hopping sequences is based upon the polynomial theory and discriminant theory over the finite field.The polynomial hopping sequences we present are based on polynomial with 2 degree and 3 degree.Comparing with the original method,this method can get hopping sequences with optimal Hamming-correlation and are good candidates for the antiinterference frequency-hopping communication systems in army.In addition the method for constructing the hopping sequences with optimal Hamming-correlation is very simple,feasible and has better applied foreground.