New families of binary sequences with low correlation
In this correspondence, for a positive integer n, new families S and U of binary sequences of period 2(n) - 1 with low correlations are proposed, where for some positive integer e, S is defined for odd n/e and U for even n/e. The family S has four-valued correlations and is a generalization of the family of Gold-like sequences introduced by Boztas and Kumar. The family U, which is also a generalization of the sequence family defined by Udaya has six-valued correlations. The relationship between Gold-like sequences and Gold sequences is the same as the relationship between the family S and the family constructed from the binary sequences partially contributed by Gold [2], Kasami [4], and Welch [13]. Using a lifting idea [9] for the families S and U, families of binary sequences with the same correlation distributions and large linear span are also constructed.
sequences correlation gold-like sequences gold sequences pseudo-noise sequences