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This paper follows the recent work of Helleseth, Kholosha, Johansen, and Ness to study the cross correlation between an m -sequence of period 2m - 1 and the d-decimation of an m-sequence of a shorter period 2n - 1 for an even number m = 2n. Assuming that d satisfies d(2l + 1) = 2i (mod 2n - 1) for some l > 0 and i > 0, it is proved that the cross correlation takes on either exactly three or...
We study the cross correlation between an m-sequence of period 2m-1 and the d-decimation of an m-sequence of shorter period 2n -1 for an even number m = 2n. Assuming that d satisfies d(2l + 1) = 2i(mod 2n - 1) for some l and i, we prove that the cross correlation takes exactly either three or four values, depending on gcd(l, n) is equal to or larger than 1. The distribution of the correlation values...
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