New p-Ary Sequences with Low Correlation and Large Family Size

抄録

For an odd prime p, two new families of p-ary sequences of period pⁿ - 1 are constructed for odd n = 2l + 1 = (2m + 1)e and even n = 2l = 2me, respectively. It is shown that, for a given integer ρ with 1 ≤ ρ ≤ m, the proposed sequence families both have maximum correlation magnitude $1+p^{\\frac{n+2(\\ ho-1)e+2}{2}}$, family size (pⁿ - 1)p^(ρ-1)n + 1, and maximum linear span $\\frac{n(n+3)}{2}$.