具有最优自相关值四元序列的构造

摘要

任给一个周期为正奇数 p且具有最优自相关值的二元序列，构造出了周期为 N＝2np的四元序列，其自相关值为3值，其中 n为任意正整数且gcd（2n ，p）＝1．特别地，当 n＝1时，这类四元序列具有最优的自相关值．对任意一个周期为 p且关于Welch界最优的二元序列族，构造出了周期为2 p的四元序列族且关于Welch界几乎最优．%For an arbitrary binary sequence of odd period p with optimal autocorrelation ,quaternary sequences of pe-riod N= 2np with three-level autocorrelation values are constructed ,where n is an arbitrary positive integer and gcd(2n ,p)=1 .In particular ,if n=1 ,the quaternary sequence has optimal autocorrelation values .For a family of binary sequences of period p with optimal Welch bound ,a family of quaternary sequences of period 2 p with almost optimal Welch bound is constructed .