Cross-correlation distribution between two decimated sequences by 2 and (pm+1)2 over 2

Let p be an odd prime and n = 2m with p^m ≡ 1 (mod 4). In this paper, the cross-correlation distribution between two decimated sequences of a p-ary m-sequence, s(2t + i) with i ∈ {0, 1} and s(d´t) with d´ = 2d, d = (p^m+1/2)² is determined.