Abstract: Telecommunication Engineering Inst, Air Force Engineering Univ., Xi′an 710077， China)
This paper presents a complete representation of auto-correlation functions of product sequences generated by one nonlinear combining function which consists of a finite number of l linear feedback shift registers (LFSR’s) with an AND gate logic, gives a formula for determining the Hamming weight of this product sequences in a period, and shows that the auto-correlation functions of such a kind of product sequences take l+1 values and that the main maximum value is high.

Key words: product sequence, auto-correlation function, Hamming weight