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For an odd prime p, n = 4k, and d =((p2k +1)/2)2, there are (p2k + 1)/2 distinct decimated sequences s(dt + l), 0 ?? l ≪ (p2k + 1)/2, of a p-ary m-sequence s(t) of period pn - 1 because gcd(d, pn - 1)=(p2k + 1)/2. In this paper, it is shown that the cross-correlation function between s(t) and s(dt + l), 0 ?? l ≪ (p2k + 1)/2, takes the values in {-1, -1 - ??pn, -1+ ??pn, -1 + 2??pn} and their cross-correlation...
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