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

概要

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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 $1+p^{\\frac{n+2(\\rho-1)e+2}{2}}$, family size (pn - 1)p(ρ-1)n + 1, and maximum linear span $\\frac{n(n+3)}{2}$.
2010-11-01