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

Fang Liu, Daiyuan Peng, Xiaohu Tang, Xianhua Niu · 2009

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 rho, the proposed sequence families have maximum correlation 1+pn/2+(rho-1)e+1, family size (pn-1)pnrho/2, and maximum linear span n(n+3).

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