Compared with the original Legendre-Sidelnikov sequence, the generalized Legendre-Sidelnikov sequence has a better balanced property. For its autocorrelation distribution, however, only some special cases are known. In this paper, using the character sums, the autocorrelation distribution of the generalized binary Legendre-Sidelnikov sequence is determined completely. The result shows that the generalized Legendre-Sidelnikov sequence possesses a better autocorrelation distribution if p≡3 (mod 4) and q>>p .
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