For two odd integers l; k with 0 < l < k and gcd(l; k) = 1, let m = 2k and d = (2^{lk}+1)/(2^l+1). In this paper, we study the cross-correlation between a binary m-sequence (st) of length 2^m-1 and its d-decimated sequences (s_{dt+u}); 0<=u < 2k+13 : It is shown that the maximum magnitud