Abstract:

Baed on the way to construct permutation sequence code (PSC) and comparisons of the characteristics of autocorrelation and crosscorrelation, the existence and the low bound of the primitive number in GF(2m) were analyzed. A method on calculating the primitive was proposed. The simulation result shows that PSC code is a kind of efficient code for ultra wide band.

Key words: permutation sequence code, galois field, ultra wide band, timing hopping code