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+pn/2+(ρ−1)e+1, family size (pn−1)pnρ/2, and maximum linear span n(n+3).