On the cross-correlation of ternary m-sequences of period 34k+2 − 1 with decimation 34k+2 − 32k+1 +2/4 + 32k+1

In this paper, for an integer k, we evaluate an upper bound for the cross-correlation of a ternary m-sequence of period N = 3<sup>4k+2</sup> - 1 and its decimated sequence with decimation d = 3<sup>4k+2</sup> - 3<sup>2k+1</sup> +2/4 + 3<sup>2k+1</sup>. It is found that the cross-correlation is upper bounded by 4.5 · 3<sup>2k+1</sup> + 1.

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