新的低相关性、大家族的p-ary序列

Fang Liu, D. Peng, Xiaohu Tang, Xianhua Niu
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引用次数: 0

摘要

对于奇数素数p,分别为奇数n=2l+1=me和偶数n=2l=me构造了两个周期为pn−1的p元序列族。结果表明,对于给定的整数ρ,所提出的序列族具有最大相关性1+pn/2+(ρ−1)e+1,族大小(pn−1)pnρ/2和最大线性跨度n(n+3)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New p-ary sequences with low correlation and large family size
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)p/2, and maximum linear span n(n+3).
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