New p-ary sequences with low correlation and large family size

Abstract

For odd prime p, two new p-ary sequence families with period pⁿ−1 are constructed for odd n=2l+1=me and even n=2l=me respectively. It is shown that, for a given integer ρ, the proposed sequence families have maximum correlation 1+p^{n/2+(ρ−1)e+1}, family size (pⁿ−1)p^nρ/2, and maximum linear span n(n+3).