On the cross-correlation of a ternary m-sequence of period 34k+2 − 1 and its decimated sequence by (32k+1+1)2 over 8

In this paper, we investigate into the cross-correlation of a ternary m-sequence m(t) of period 3<sup>n</sup> − 1 and its decimated sequence m(dt) by d = (3<sup>m</sup>+1)<sup>2</sup>over 8, where n = 2m = 4k + 2. It is shown that the magnitude of the cross-correlation values is upper bounded by 2√3<sup>n</sup> + 1.