Four families of binary sequences with low correlation and large linear complexity

In this paper, four new families S-1, S-2, S-3 and S-4 of binary sequences of period 2(n)-1 with low correlation are presented, where S,, S-3 are defined for odd n, and S-2, S-4 for even n. The family S-1 has six-valued correlations. while S-2 and S-3 have either six-valued correlations or eight-valued correlations, and S-4 has either eight-valued or ten-valued, depending on the choice of parameters.